


NEW:
RESEARCH PAPERS:
After several requests, especially of some
laboratories that want to "recruit" students, we
have added in our courses (=seminars) a conferences
time zone
from 17:00 until 21:00 each day.
http://www.naun.org/
courses.htm
RESEARCH PAPERS: Professors, Doctors, Students are
also welcome to present research papers. The
accepted and registered research
papers will be presented after the end of the
courses, i.e. after 17:00 every day.
The time zone from 09:00 to 17:00 each day is
exclusively dedicated for the educational graduate
courses.
The time zone from 17:00 to 21:00 will be dedicated
for Research papers' presentation in 3 parallel
Sessions.
The registration fees are also 300 EUR for
presenters of research papers and include 3 lunches,
6 coffee-breaks and publication of their papers in
Proceedings and Journals after the conference.
http://www.naun.org
/courses.htm
Should you interested,
send your research paper to info @ europment.org
Your paper must be written in the correct NAUN
Format: Word for
Windows
If you use LaTeX, please download the LaTeX template:
naun.tex or
naun.txt. You have
to convert it to .ps or .pdf file and submit that file to the
conference via the web site.
* All the NAUN Publications are archived in ISI, SCOPUS,
WSEAS
E-Library,
IET (IEE), ASM, ACS, CSA, ELSEVIER , ZENTRALBLATT,
MATHSCINET, DPP,EI, CSBA, Ulrigh, DEST,
EBSCO, EMBASE, GEOBASE,
BIOBASE,
BIOTECHNOBASE.
* Authors will be invited to submit extended versions to a NAUN
Journal or WSEAS Journal or University
Press or Springer
* In collaboration with the Institute of ElectroTechnics - IET/GR,
EUROPMENT, IASME, IARAS, WSEAS.
Scientific
Committee -
Presenters
of the
Courses

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WSEAS and
NAUN organise an
active programme of short courses and distribute many books
published by Springer Verlag, Elsevier and other
international publishers.
The courses are aimed at both industry and academia.
Attracting international participants, the courses are
presented by well known specialists from around the world.
NAUN offer various 3-days' and 4-days'
courses by eminent scholars. The level of the Short Courses
are post graduate and several universities support and
sponsor them. The certification of the Short Course is certified by the particular University
at the last day of the course. At the moment
collaborations with Professors from Harvard University, MIT,
Berkeley, Univ. of Cambridge,
Univ. of Milano, Univ. of Roma, ETH Zurich have been
established.
Should you
interested,
send an email to
info@europment.org
Our courses provide FREE accomodation to our attendees.
Upcoming Short Courses
C1] Non-Linear Systems,
6-8 March, 2012
C2] Fuzzy Engineering, 13-15 March, 2012
C3] Neural Networks, 16-18 March, 2012
C4] Evolutionary Computing-Genetic
Algorithms, 19-21 March, 2012
C5] Partial Differential Equations for
Scientists and Engineers, 2-4 June, 2012
C6] Engineering Mathematics,
5-7 June, 2012
C7] Probability and Statistics for
Scientists and Engineers, 8-10 June 2012
C8] Decision Support Systems
and Optimization for Scientists and Engineers,
11-13 June 2012
C9] Methods &Techniques for 1-D
&2-D Digital
Filters' Design, 14-15 June 2012
C10] Environmental Protection,
June 16-18, 2012
C11] Finite Differences and Finite Elements for
Scientists and Engineers, June 23-25, 2012
Update (January 31st, 2012):
For
the Course C2] all the rooms are blocked.
For the Courses C1], C3] and C4] we have a
small number of rooms available. For the Courses C5], C6], C7],
C8], C9], C10] and C11] we have a big
number of rooms available. Contact us before your
registration for a 24-hours temporary Contact us before
your registration for a 24-hours temporary booking
before your registration. Otherwise, we can book your room in a hotel
(500 m away from our campus) in an additional fee 40 EUR / night. booking before your
registration.
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C1] Non-Linear Systems, Marathon Beach, Attica, March
6-8, 2012 |
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Course Description: This course provides an
introduction to nonlinear systems, including
differences between linear and nonlinear systems;
mathematical preliminaries; equilibrium points of
nonlinear systems; phase plane analysis and limit
cycles; stability definitions for nonlinear systems;
Lyapunov's indirect and direct methods; stability of
autonomous and non-autonomous systems; describing
function analysis; nonlinear control design
including sliding-mode, adaptive, and nonlinear
robust control; and applications of nonlinear
control design.
Course Objectives: The first major goal is to
introduce the student to nonlinear systems and to
classify them for further analysis. Also, issues of
stability are discussed with respect to nonlinear
systems and the various forms of stability are
discussed.
The second major goal is to introduce the student to
nonlinear controls techniques, up to and including
adaptive, sliding-mode and nonlinear robust control.
* By the end of the course, students should be able
to:
--
Understand issues related to nonlinear systems and
why linear techniques to analyze stability may not
be sufficient.
--
Understand controls design techniques involving
feedback linearization and input-state
linearization.
--
Understand Lyapunov stability analysis and design
which will allow the student to apply the techniques
and also understand technical papers and articles on
the subject.
Course Programme:
-
Mathematical Background
-
Phase Plane Analysis
-
Lyapunov Theory
-
Control Design Based on Lyapunov's Direct Method
-
Advanced Stability Theory
-
Stability of Non-Autonomous Systems
-
Describing Function Analysis
-
Feedback Linearization
-
Input-State Linearization of SISO Systems
-
Input-Output Linearization of SISO Systems
-
Sliding-Mode Control
-
Adaptive Control
-
Nonlinear Robust Control
-
Control of Physical Systems
Study Meterials:
* Jean-Jacques Slotine, Weiping Li "Applied
Nonlinear Control"
* L. C. To, Moses O. Tade "Robust Nonlinear Control
of Industrial Evaporation Systems, Implementation of
Differential Geometry"
Course Structure: Each day is subdivided into
four sessions and will commence at 9.00 am and
finish at 5.00 pm. Lunch break is from 12.30 pm to
2.00 pm. Coffee will be served during the breaks.
Please note that the course will start at 9.15 am on
the first day.
Course Materials
The course fee of 300 Euros includes all
working materials, three lunches, coffee, tea and
all computer facilities used, where applicable.
WSEAS and NAUN reserve the right to make
changes to the programme that may prove necessary.
Cancellations: Participants who cancel their
registration due to special circumstances can only
transfer their payment to some future WSEAS or
IEEEAM or NAUN conference or course.
Venue and Accommodation: The course will take
place at the Marathon Beach Village located
in Marathon, Attica, Greece. It is 30 minutes
by bus from the Athens international airport.
This region is a well-known site, since it is the
place where the famous battle of Marathon between
the Greeks and the Persian army took place in 490
BC. The story says that after the bloody battle, a
messenger named Pheidippides ran the 42 km that
divided Marathon from Athens to announce the victory
of the Greeks, and died from exhaustion right after
spreading the news. This story is what started the
marathon foot race in witch today runners follow the
same Pheidippides route. At 8 km from the town of
Marathon you will find the Lake Marathon, which is
faced with a huge Pentelic marble dam (50m high and
stretching for 300m), the same marble used to build
the Parthenon. This lake used to be the unique water
source of Athens until 1956. The beautiful ruins of
the Doric Temple of Nemesis (435 BC), goddess of
retribution as well as the 6 th-century small temple
of Themis , goddess of justice and law, are located
nearby. The Archaeological Museum of Marathonas will
keep you into the archaeological mood. This
interesting region also has some little rocky inlets
with clean and nice water, very agreeable to visit,
as well as the big and beautiful beach of Schinias.
For more information on how to find Marathon
Beach Village and to arrange accommodation
during the course please
contact us
Photos from the area
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C2] Fuzzy Engineering, Marathon Beach, Attica, March
13-15, 2012 |
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Course Description: This course provides an
introduction to fuzzy logic, fuzzy sets and fuzzy
systems. Fuzzy Relation, Fuzzy Graphs, and Fuzzy
Arithmetic. Fuzzy If-Then Rules. Fuzzy Logic
Applications. Control Systems. Decision Making
Systems. Pattern Recognition. Neuro-Fuzzy.
Genetic Algorithms and Fuzzy Logic
Microcontrollers and Fuzzy logic
Course Objectives: In the end of the course
student is expected to be able to
- apply fuzzy systems in engineering environment
- apply function approximation methods with fuzzy
systems
- model and solve control problems and apply neuro-fuzzy
systems.
Course Programme: Fuzzy sets and relations,
fuzzy functions and rule-based systems, Mamdani
fuzzy system and Sugeno-Tagaki fuzzy system,
universal approximators, fuzzy modelling, fuzzy
control, fuzzy controllers in applications,
aggregation operators, fuzzy screening systems,
averaging operators and modifier operations. Neuro-Fuzzy
systems. Suitable also for postgraduate studies.
Study Meterials:
* Full?r, R.: Introduction to Neuro-Fuzzy
Systems, Physica-Verlag, 2000.
* Kosko, B.: Fuzzy Engineering, Prentice-Hall, 1996.
* Passino, K.M., Yurkovich, S.: Fuzzy Control,
Addison-Wesley, 1998.
Course Structure: Each day is subdivided into
four sessions and will commence at 9.00 am and
finish at 5.00 pm. Lunch break is from 12.30 pm to
2.00 pm. Coffee will be served during the breaks.
Please note that the course will start at 9.15 am on
the first day.
Course Materials
The course fee of 300 Euros includes all
working materials, three lunches, coffee, tea and
all computer facilities used, where applicable.
WSEAS and NAUN reserve the right to make
changes to the programme that may prove necessary.
Cancellations: Participants who cancel their
registration due to special circumstances can only
transfer their payment to some future WSEAS or
IEEEAM or NAUN conference or course.
Venue and Accommodation: The course will take
place at the Marathon Beach Village located
in Marathon, Attica, Greece. It is 30 minutes
by bus from the Athens international airport.
This region is a well-known site, since it is the
place where the famous battle of Marathon between
the Greeks and the Persian army took place in 490
BC. The story says that after the bloody battle, a
messenger named Pheidippides ran the 42 km that
divided Marathon from Athens to announce the victory
of the Greeks, and died from exhaustion right after
spreading the news. This story is what started the
marathon foot race in witch today runners follow the
same Pheidippides route. At 8 km from the town of
Marathon you will find the Lake Marathon, which is
faced with a huge Pentelic marble dam (50m high and
stretching for 300m), the same marble used to build
the Parthenon. This lake used to be the unique water
source of Athens until 1956. The beautiful ruins of
the Doric Temple of Nemesis (435 BC), goddess of
retribution as well as the 6 th-century small temple
of Themis , goddess of justice and law, are located
nearby. The Archaeological Museum of Marathonas will
keep you into the archaeological mood. This
interesting region also has some little rocky inlets
with clean and nice water, very agreeable to visit,
as well as the big and beautiful beach of Schinias.
For more information on how to find Marathon
Beach Village and to arrange accommodation
during the course please
contact us
Photos from the area |
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C3] Neural
Networks and Applications,
Marathon Beach, Attica, March 16-18, 2012 |
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Course Description: This course provides an
introduction to Neural Networks (NN) methodologies
and advanced topics on Theory and Applications of NN
Course Objectives: In the end of the course
student is expected to be able to
- apply NN in engineering environment
- apply NN on Control, Signal Processing,
Differential Equations solution, System
Identification, Large Systems Reduction and Control
and approximation
- model and solve control problems and apply neuro-fuzzy
systems.
Course Programme:
Fundamentals
Data Preprocessing
Single Layer Perceptron
Multi Layer Perceptron
Training & Testing
Error Function
Hidden Layer Weights
Backpropagation Algorithm
Variations on the Backpropagation Algorithm
Kohonen's Neural Network
Kohonen's SOM II
Learning Vector Quantization (LVQ)
Variations on LVQ
Cluster Analysis
Radial Basis Function (RBF) Networks
RBF First Training Phase
RBF : Second Training Phase
Autoassociative Networks
Autoassociative Networks II
Reinforecement Learning
Boltzmann Machine and ART NN
Neural Networks for Optimization
Neural Networks for Differential Equations
Neural Networks for Data Processing
Neural Networks for Filtering
Neural Networks for Spectral Estimation
Neural Networks for Moving-Target Detection
Neural Networks for Signal Reconstruction
Neural Networks for Array Signal Processing
Neural Networks for Automatic Control
Neural Networks for System Identification
Neural Networks for Reduction of Large Systems
Neural Networks for Signal Compression
Neuro-Fuzzy Systems
Study Meterials:
* Neural Networks: A Comprehensive Foundation by
Simon Haykin
* Neural Networks and Learning Machines by Simon
Haykin
* Neural Networks for Pattern Recognition by
Christopher M. Bishop
* Neural Networks for Optimization and Signal
Processing by A.Cichochi and R. Unbehaunen
* Applied Neural Networks for Signal Processing by
Fa-Long Luo and Rolf Unbehaunen
Course Structure: Each day is subdivided into
four sessions and will commence at 9.00 am and
finish at 5.00 pm. Lunch break is from 12.30 pm to
2.00 pm. Coffee will be served during the breaks.
Please note that the course will start at 9.15 am on
the first day.
Course Materials
The course fee of 300 Euros includes all
working materials, three lunches, coffee, tea and
all computer facilities used, where applicable.
WSEAS and NAUN reserve the right to make
changes to the programme that may prove necessary.
Cancellations: Participants who cancel their
registration due to special circumstances can only
transfer their payment to some future WSEAS or
IEEEAM or NAUN conference or course.
Venue and Accommodation: The course will take
place at the Marathon Beach Village located
in Marathon, Attica, Greece. It is 30 minutes
by bus from the Athens international airport.
This region is a well-known site, since it is the
place where the famous battle of Marathon between
the Greeks and the Persian army took place in 490
BC. The story says that after the bloody battle, a
messenger named Pheidippides ran the 42 km that
divided Marathon from Athens to announce the victory
of the Greeks, and died from exhaustion right after
spreading the news. This story is what started the
marathon foot race in witch today runners follow the
same Pheidippides route. At 8 km from the town of
Marathon you will find the Lake Marathon, which is
faced with a huge Pentelic marble dam (50m high and
stretching for 300m), the same marble used to build
the Parthenon. This lake used to be the unique water
source of Athens until 1956. The beautiful ruins of
the Doric Temple of Nemesis (435 BC), goddess of
retribution as well as the 6 th-century small temple
of Themis , goddess of justice and law, are located
nearby. The Archaeological Museum of Marathonas will
keep you into the archaeological mood. This
interesting region also has some little rocky inlets
with clean and nice water, very agreeable to visit,
as well as the big and beautiful beach of Schinias.
For more information on how to find Marathon
Beach Village and to arrange accommodation
during the course please
contact us
Photos from the area |
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C4] Evolutionary Computing -
Genetic Algorithms
Marathon Beach, Attica, March 19-21, 2012 |
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Course Description: This course brings
together the computer techniques, mathematical
tools, and research results that will enable both
students and practitioners to apply genetic
algorithms to problems in many fields. Major
concepts are illustrated with running examples, and
major algorithms are illustrated by Pascal computer
programs. No prior knowledge of GAs or genetics is
assumed, and only a minimum of computer programming
and mathematics background is required. Finally a
comprehensive introduction to new approaches in
artificial intelligence and robotics that are
inspired by self-organizing biological processes and
structures is given.
Course Objectives: In the end of the course
student is expected to be able to
- apply EC- GA in engineering environment
- apply EC- GA for a variety of Optimization
Problems
- model and solve control, signal processing,
applied mathematics problems using EC- GA
Course Programme:
--What is Evolutionary Computation?
-- Historical perspective.
-- Major classes of Evolutionary Algorithms.
-- Local vs global search methods.
--Simple genetic algorithms and simple evolution
strategies: basic principles.
--Genetic programming. Problem difficulty and the
NFL theorem.
--Representations. Design of operators.
--Constraint handling. Finding multiple optima.
Multi-objective optimization.
--Basic GA theory. Limitations of simple EAs.
Goldberg's decomposition for competent GAs.
--Parameter setting in EAs. Using problem specific
information.
--Estimation of Distribution Algorithms.
--Other Biologically Inspired Methods of
Optimization and Computing
Study Meterials:
*Genetic Algorithms in Search, Optimization, and
Machine Learning
by David E. Goldberg
*Introduction to Evolutionary Computing (Natural
Computing Series) by
Agoston E. Eiben
* Bio-Inspired Artificial Intelligence: Theories,
Methods, and Technologies
(Intelligent Robotics and Autonomous Agents series)
by Dario Floreano
* A Field Guide to Genetic Programming
by Riccardo Poli , William B. Langdon , Nicholas
Freitag McPhee
Course Structure: Each day is subdivided into
four sessions and will commence at 9.00 am and
finish at 5.00 pm. Lunch break is from 12.30 pm to
2.00 pm. Coffee will be served during the breaks.
Please note that the course will start at 9.15 am on
the first day.
Course Materials
The course fee of 300 Euros includes all
working materials, three lunches, coffee, tea and
all computer facilities used, where applicable.
WSEAS and NAUN reserve the right to make
changes to the programme that may prove necessary.
Cancellations: Participants who cancel their
registration due to special circumstances can only
transfer their payment to some future WSEAS or
IEEEAM or NAUN conference or course.
Venue and Accommodation: The course will take
place at the Marathon Beach Village located
in Marathon, Attica, Greece. It is 30 minutes
by bus from the Athens international airport.
This region is a well-known site, since it is the
place where the famous battle of Marathon between
the Greeks and the Persian army took place in 490
BC. The story says that after the bloody battle, a
messenger named Pheidippides ran the 42 km that
divided Marathon from Athens to announce the victory
of the Greeks, and died from exhaustion right after
spreading the news. This story is what started the
marathon foot race in witch today runners follow the
same Pheidippides route. At 8 km from the town of
Marathon you will find the Lake Marathon, which is
faced with a huge Pentelic marble dam (50m high and
stretching for 300m), the same marble used to build
the Parthenon. This lake used to be the unique water
source of Athens until 1956. The beautiful ruins of
the Doric Temple of Nemesis (435 BC), goddess of
retribution as well as the 6 th-century small temple
of Themis , goddess of justice and law, are located
nearby. The Archaeological Museum of Marathonas will
keep you into the archaeological mood. This
interesting region also has some little rocky inlets
with clean and nice water, very agreeable to visit,
as well as the big and beautiful beach of Schinias.
For more information on how to find Marathon
Beach Village and to arrange accommodation
during the course please
contact us
Photos from the area |
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C5] Partial Differential Equations for
Scientists and Engineers
Marathon Beach, Attica, 2-4 June, 2012 |
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Course Description: PDEs are used to describe
a variety of natural phenomena like the propagation
of sound or heat, electrostatics, electrodynamics,
quantum mechanics, fluid flow, elasticity,
mathematical biology, strength of materials. We
develop methodologies and computational tools to
solve a variety of PDES by classifying them into
various categories and finding each time the
appropriate methodology/tool.
Course Objectives: In the end of the course
student is expected to be able to
- apply these methodologies (see below) in
scientific/engineering environment
- apply these methodologies and computational tools for a variety of
PDEs'
Problems
- model and solve natural phenomena like the
propagation of sound or heat, electrostatics,
electrodynamics, quantum mechanics, fluid flow,
elasticity, mathematical biology, strength of
materials etc...
Course Programme:
Introduction
Existence and uniqueness
Heat equation in one space dimension
Wave equation in one spatial dimension
Generalised Heat-like equation in one space
dimension
Spherical waves
Laplace equation in two dimensions
Connection with holomorphic functions
A typical boundary value problem
Euler-Tricomi equation
Advection equation
Ginzburg-Landau equation
The Dym equation
Initial-boundary value problems
Vibrating string
Vibrating membrane
Classification
Equations of first order
Equations of second order
Systems of first-order equations and characteristic
surfaces
Equations of mixed type
Infinite-order PDEs in quantum mechanics
Analytical methods to solve PDEs
*Separation of variables
*Method of characteristics
*Integral transforms
*Change of variables
*Fundamental solution
*Superposition principle
Methods for non-linear equations
*Lie Group Methods
Numerical methods to solve PDEs
Finite Differences' Method
Finite Element Method
Finite Volume Method
Boundary Elements Method
Study Meterials:
-
Courant, R. & Hilbert, D.
(1962), Methods of Mathematical Physics, II, New
York: Wiley-Interscience.
-
Evans, L. C. (1998),
Partial Differential Equations, Providence:
American Mathematical Society, ISBN 0821807722.
-
Ibragimov, Nail H (1993),
CRC Handbook of Lie Group Analysis of
Differential Equations Vol. 1-3, Providence: CRC-Press,
ISBN 0849344883.
-
Jost, J. (2002), Partial
Differential Equations, New York: Springer-Verlag,
ISBN 0387954287.
-
Petrovskii, I. G. (1967),
Partial Differential Equations, Philadelphia: W.
B. Saunders Co
-
Pinchover, Y. &
Rubinstein, J. (2005), An Introduction to
Partial Differential Equations, New York:
Cambridge University Press, ISBN 0521848865.
-
Polyanin, A. D. (2002),
Handbook of Linear Partial Differential
Equations for Engineers and Scientists, Boca
Raton: Chapman & Hall/CRC Press, ISBN
1584882999.
-
Polyanin, A. D. & Zaitsev,
V. F. (2004), Handbook of Nonlinear Partial
Differential Equations, Boca Raton: Chapman &
Hall/CRC Press, ISBN 1584883553.
-
Polyanin, A. D.; Zaitsev,
V. F. & Moussiaux, A. (2002), Handbook of First
Order Partial Differential Equations, London:
Taylor & Francis, ISBN 041527267X.
-
Solin, P. (2005), Partial
Differential Equations and the Finite Element
Method, Hoboken, NJ: J. Wiley & Sons, ISBN
0471720704.
-
Solin, P.; Segeth, K. &
Dolezel, I. (2003), Higher-Order Finite Element
Methods, Boca Raton: Chapman & Hall/CRC Press,
ISBN 158488438X.
Course Structure: Each day is subdivided into
four sessions and will commence at 9.00 am and
finish at 5.00 pm. Lunch break is from 12.30 pm to
2.00 pm. Coffee will be served during the breaks.
Please note that the course will start at 9.15 am on
the first day.
Course Materials The course fee of
300 Euros includes all working materials,
three lunches, coffee, tea and all computer
facilities used, where applicable. WSEAS and NAUN
reserve the right to make changes to the programme
that may prove necessary.
Cancellations: Participants who cancel their
registration due to special circumstances can only
transfer their payment to some future WSEAS or
IEEEAM or NAUN conference or course.
Venue and Accommodation: The course will take
place at the Marathon Beach Village located
in Marathon, Attica, Greece. It is 30 minutes
by bus from the Athens international airport.
This region is a well-known site, since it is the
place where the famous battle of Marathon between
the Greeks and the Persian army took place in 490
BC. The story says that after the bloody battle, a
messenger named Pheidippides ran the 42 km that
divided Marathon from Athens to announce the victory
of the Greeks, and died from exhaustion right after
spreading the news. This story is what started the
marathon foot race in witch today runners follow the
same Pheidippides route. At 8 km from the town of
Marathon you will find the Lake Marathon, which is
faced with a huge Pentelic marble dam (50m high and
stretching for 300m), the same marble used to build
the Parthenon. This lake used to be the unique water
source of Athens until 1956. The beautiful ruins of
the Doric Temple of Nemesis (435 BC), goddess of
retribution as well as the 6 th-century small temple
of Themis , goddess of justice and law, are located
nearby. The Archaeological Museum of Marathonas will
keep you into the archaeological mood. This
interesting region also has some little rocky inlets
with clean and nice water, very agreeable to visit,
as well as the big and beautiful beach of Schinias.
For more information on how to find Marathon
Beach Village and to arrange accommodation
during the course please
contact us
Photos from the area |
|
|
C6] Engineering Mathematics
Marathon Beach, Attica, 5-7 June, 2012 |
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|
Course Description: This course brings
together the computer techniques, mathematical
tools, and research results that will enable both
students and practitioners to apply computational
techniques, mathematical tools,
algorithms to problems in many fields.
Course Objectives: In the end of the course
student is expected to be able to
- apply computational techniques, mathematical
tools,
algorithms to problems in science
- apply computational techniques, mathematical
tools,
algorithms to problems in engineering
Course Programme:
Introduction
Existence and uniqueness
Heat equation in one space dimension
Wave equation in one spatial dimension
Generalised Heat-like equation in one space
dimension
Spherical waves
Laplace equation in two dimensions
Connection with holomorphic functions
A typical boundary value problem
Euler?Tricomi equation
Advection equation
Ginzburg?Landau equation
The Dym equation
Initial-boundary value problems
Vibrating string
Vibrating membrane
Classification
Equations of first order
Equations of second order
Systems of first-order equations and characteristic
surfaces
Equations of mixed type
Infinite-order PDEs in quantum mechanics
Analytical methods to solve PDEs
*Separation of variables
*Method of characteristics
*Integral transforms
*Change of variables
*Fundamental solution
*Superposition principle
Methods for non-linear equations
Numerical methods to solve PDEs
Finite Differences' Method
Finite Element Method
Finite Volume Method
Boundary Elements Method
Computer Science
Simulation
Applied logic,
Computer algebra
Combinatorics.
Operations research
Applied probability
Applied statistics
Study Meterials:
-
Courant, R. & Hilbert, D.
(1962), Methods of Mathematical Physics, II, New
York: Wiley-Interscience.
-
Evans, L. C. (1998),
Partial Differential Equations, Providence:
American Mathematical Society, ISBN 0821807722.
-
Pinchover, Y. &
Rubinstein, J. (2005), An Introduction to
Partial Differential Equations, New York:
Cambridge University Press, ISBN 0521848865.
-
Polyanin, A. D. (2002),
Handbook of Linear Partial Differential
Equations for Engineers and Scientists, Boca
Raton: Chapman & Hall/CRC Press, ISBN
1584882999.
-
Polyanin, A. D. & Zaitsev,
V. F. (2004), Handbook of Nonlinear Partial
Differential Equations, Boca Raton: Chapman &
Hall/CRC Press, ISBN 1584883553.
-
Polyanin, A. D.; Zaitsev,
V. F. & Moussiaux, A. (2002), Handbook of First
Order Partial Differential Equations, London:
Taylor & Francis, ISBN 041527267X.
-
Solin, P. (2005), Partial
Differential Equations and the Finite Element
Method, Hoboken, NJ: J. Wiley & Sons, ISBN
0471720704.
-
Solin, P.; Segeth, K. &
Dolezel, I. (2003), Higher-Order Finite Element
Methods, Boca Raton: Chapman & Hall/CRC Press,
ISBN 158488438X.
-
Kallenberg, O. (2005)
Probabilistic Symmetries and Invariance
Principles. Springer -Verlag, New York. 510 pp.
ISBN 0-387-25115-4
-
Kallenberg, O. (2002)
Foundations of Modern Probability, 2nd ed.
Springer Series in Statistics. 650 pp. ISBN
0-387-95313-2
-
Olofsson, Peter (2005)
Probability, Statistics, and Stochastic
Processes, Wiley-Interscience. 504 pp ISBN
0-471-67969-0.
Course Structure: Each day is subdivided into
four sessions and will commence at 9.00 am and
finish at 5.00 pm. Lunch break is from 12.30 pm to
2.00 pm. Coffee will be served during the breaks.
Please note that the course will start at 9.15 am on
the first day.
Course Materials
The course fee of 300 Euros includes all
working materials, three lunches, coffee, tea and
all computer facilities used, where applicable.
WSEAS and NAUN reserve the right to make
changes to the programme that may prove necessary.
Cancellations: Participants who cancel their
registration due to special circumstances can only
transfer their payment to some future WSEAS or
IEEEAM or NAUN conference or course.
Venue and Accommodation: The course will take
place at the Marathon Beach Village located
in Marathon, Attica, Greece. It is 30 minutes
by bus from the Athens international airport.
This region is a well-known site, since it is the
place where the famous battle of Marathon between
the Greeks and the Persian army took place in 490
BC. The story says that after the bloody battle, a
messenger named Pheidippides ran the 42 km that
divided Marathon from Athens to announce the victory
of the Greeks, and died from exhaustion right after
spreading the news. This story is what started the
marathon foot race in witch today runners follow the
same Pheidippides route. At 8 km from the town of
Marathon you will find the Lake Marathon, which is
faced with a huge Pentelic marble dam (50m high and
stretching for 300m), the same marble used to build
the Parthenon. This lake used to be the unique water
source of Athens until 1956. The beautiful ruins of
the Doric Temple of Nemesis (435 BC), goddess of
retribution as well as the 6 th-century small temple
of Themis , goddess of justice and law, are located
nearby. The Archaeological Museum of Marathonas will
keep you into the archaeological mood. This
interesting region also has some little rocky inlets
with clean and nice water, very agreeable to visit,
as well as the big and beautiful beach of Schinias.
For more information on how to find Marathon
Beach Village and to arrange accommodation
during the course please
contact us
Photos from the area |
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C7] Probability and Statistics
for Scientists and Engineers
Marathon Beach, Attica, 8-10 June, 2012 |
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Course Description: This course covers
quantitative analysis of uncertainty and risk for
engineering applications. Fundamentals of
probability, random processes, statistics, and
decision analysis are covered, along with random
variables and vectors, uncertainty propagation,
conditional distributions, and second-moment
analysis. System reliability is introduced. Other
topics covered include Bayesian analysis and
risk-based decision, estimation of distribution
parameters, hypothesis testing, simple and multiple
linear regressions, and Poisson and Markov
processes. There is an emphasis placed on real-world
applications to engineering problems.
Course Objectives: In the end of the course
student is expected to be able to
- apply probability and statistics in a
variety of problems in science
- apply probability and statistics in a
variety of problems in engineering
Course Programme:
Events and their Probability, Elementary Operations
with Events, Total Probability Theorem,
Independence, Bayes' Theorem
Random Variables and Vectors, Discrete and
Continuous Probability Distributions
Functions of Random Variables and Derived
Distributions
Expectation of Random Variables and Functions of
Random Variables
Moments of Variables and Vectors
Conditional Second Moment Analysis
Selected Distribution Models: Normal, Lognormal,
Extreme, Multivariate Normal Distributions
Time-invariant Second-Moment Reliability Analysis
and Time-Invariant Full-Distribution Reliability
Analysis
Point Estimation of Distribution Parameters: Methods
of Moments and Maximum Likelihood, Bayesian Analysis
Simple and Multiple Linear Regression
Study Meterials:
-
Probability and
Statistics for Engineers and Scientists
Ronald E. Walpole, Raymond H. Myers, Sharon L.
Myers, Keying E. Ye
-
Probability and
Statistics for Engineering and the Sciences
Jay L. Devore
Course Structure: Each day is subdivided into
four sessions and will commence at 9.00 am and
finish at 5.00 pm. Lunch break is from 12.30 pm to
2.00 pm. Coffee will be served during the breaks.
Please note that the course will start at 9.15 am on
the first day.
Course Materials
The course fee of 300 Euros includes all
working materials, three lunches, coffee, tea and
all computer facilities used, where applicable.
WSEAS and NAUN reserve the right to make
changes to the programme that may prove necessary.
Cancellations: Participants who cancel their
registration due to special circumstances can only
transfer their payment to some future WSEAS or
IEEEAM or NAUN conference or course.
Venue and Accommodation: The course will take
place at the Marathon Beach Village located
in Marathon, Attica, Greece. It is 30 minutes
by bus from the Athens international airport.
This region is a well-known site, since it is the
place where the famous battle of Marathon between
the Greeks and the Persian army took place in 490
BC. The story says that after the bloody battle, a
messenger named Pheidippides ran the 42 km that
divided Marathon from Athens to announce the victory
of the Greeks, and died from exhaustion right after
spreading the news. This story is what started the
marathon foot race in witch today runners follow the
same Pheidippides route. At 8 km from the town of
Marathon you will find the Lake Marathon, which is
faced with a huge Pentelic marble dam (50m high and
stretching for 300m), the same marble used to build
the Parthenon. This lake used to be the unique water
source of Athens until 1956. The beautiful ruins of
the Doric Temple of Nemesis (435 BC), goddess of
retribution as well as the 6 th-century small temple
of Themis , goddess of justice and law, are located
nearby. The Archaeological Museum of Marathonas will
keep you into the archaeological mood. This
interesting region also has some little rocky inlets
with clean and nice water, very agreeable to visit,
as well as the big and beautiful beach of Schinias.
For more information on how to find Marathon
Beach Village and to arrange accommodation
during the course please
contact us
Photos from the area |
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C8] Decision Support
Systems and Optimization for Scientists and
Engineers
Marathon Beach, Attica,
11-13 June, 2012 |
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Course Description:
Decision Support Systems are a valuable tool for
Scientists and Engineers.
We examine Decision Trees, Dynamic
Programming, Linear Programming,
Optimization Methods, Non-linear Optimization,
Probabilistic Simulation
Course Objectives: In the end of the course
student is expected to be able to
- understand the aforementioned methodologies
- make efficient computer programs for these
methodologies
Course Programme:
Decision Trees, Dynamic Programming, Linear
Programming,
Optimization Methods, Local and general outer
functions. Convexity. Necessary conditions 1 and 2
class, minimum sufficient conditions for
minimization problems: without restrictions and
withrestrictions. Speed of convergence. Methods for
minimizing functions of one variable. Gradient
methods, Newton, conjugate directions,
pseudo-Newtonian methods. Algorithms for problems
with constraints: methods penalty functions and
barrier methods permitted lines, the active set, the
projection of the heel. Quadratic programming.
Method repetitive square, Probabilistic Simulation Study Meterials:
[1] Delic, K.A., Douillet,L. and Dayal, U.
(2001) "Towards an architecture for real-time
decision support systems:challenges and solutions.
[2] Matsatsinis, N.F. and Y. Siskos (2002),
Intelligent support systems for marketing decisions,
Kluwer Academic Publishers.
[3] Reich, Yoram; Kapeliuk, Adi. Decision Support
Systems., Nov2005, Vol. 41 Issue 1, p1-19, 19p.
[4] Sauter, V. L. (1997). Decision support systems:
an applied managerial approach. New York, John
Wiley.
[5] Silver, M. (1991). Systems that support decision
makers: description and analysis. Chichester ; New
York, Wiley.
[6] Sprague, R. H. and H. J. Watson (1993). Decision
support systems: putting theory into practice.
Englewood Clifts, N.J., Prentice Hall.
[7] Avriel, Mordecai (2003). Nonlinear Programming:
Analysis and Methods. Dover Publishing. ISBN
0-486-43227-0.
[8] Bazaraa, Mokhtar S. and Shetty, C. M. (1979).
Nonlinear programming. Theory and algorithms. John
Wiley & Sons. ISBN 0-471-78610-1.
[9] Bertsekas, Dimitri P. (1999). Nonlinear
Programming: 2nd Edition. Athena Scientific. ISBN
1-886529-00-0.
Course Structure: Each day is subdivided into
four sessions and will commence at 9.00 am and
finish at 5.00 pm. Lunch break is from 12.30 pm to
2.00 pm. Coffee will be served during the breaks.
Please note that the course will start at 9.15 am on
the first day.
Course Materials
The course fee of 300 Euros includes all
working materials, three lunches, coffee, tea and
all computer facilities used, where applicable.
WSEAS and NAUN reserve the right to make
changes to the programme that may prove necessary.
Cancellations: Participants who cancel their
registration due to special circumstances can only
transfer their payment to some future WSEAS or
IEEEAM or NAUN conference or course.
Venue and Accommodation: The course will take
place at the Marathon Beach Village located
in Marathon, Attica, Greece. It is 30 minutes
by bus from the Athens international airport.
This region is a well-known site, since it is the
place where the famous battle of Marathon between
the Greeks and the Persian army took place in 490
BC. The story says that after the bloody battle, a
messenger named Pheidippides ran the 42 km that
divided Marathon from Athens to announce the victory
of the Greeks, and died from exhaustion right after
spreading the news. This story is what started the
marathon foot race in witch today runners follow the
same Pheidippides route. At 8 km from the town of
Marathon you will find the Lake Marathon, which is
faced with a huge Pentelic marble dam (50m high and
stretching for 300m), the same marble used to build
the Parthenon. This lake used to be the unique water
source of Athens until 1956. The beautiful ruins of
the Doric Temple of Nemesis (435 BC), goddess of
retribution as well as the 6 th-century small temple
of Themis , goddess of justice and law, are located
nearby. The Archaeological Museum of Marathonas will
keep you into the archaeological mood. This
interesting region also has some little rocky inlets
with clean and nice water, very agreeable to visit,
as well as the big and beautiful beach of Schinias.
For more information on how to find Marathon
Beach Village and to arrange accommodation
during the course please
contact us
Photos from the area |
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C9] Methodologies and Techniques for
1-D and 2-D Digital Filters' Design,
Marathon Beach, Attica,
14-16 June, 2012 |
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Course Description:
2-D Systems is the necessary mathematical background
for the modern image processing.
3-D Systems is the necessary mathematical background
for moving images, etc...In
general Multidimensional systems (m-D) theory is the
necessary mathematical
background for many appication image processing,
X-ray enhancement, seismic data
processing, geo-science, computer vision, robotics,
biomedical engineering, circuits,
systems, control and other areas like financial
science and engineering, neuroscience,
psychology, social science....
Multidimensional Systems are also a useful tool in
the modelling of partial differential
equations while several new applications on Applied
Electromagnetics have been
implemented recently.
So, m-D Systems and especially m-D Filters' Design
is very important topic and
necessary subject for all undergraduate electrical
and computer engineers..
Course Objectives: In the end of the course
student is expected to be able to
- design 1-D and 2-D filters
- examine the stability of an m-D filter
Course Programme:
Discrete and Continuous Multidimensional Signals and
Systems
Introduction, Region of Support, Quantization,
Periodicity, Separability, Linearity, Shift
Invariance, Causality.
Recursive Filters, Non-recursive Filters.
Flow graphs and Networks. Space Domain Analysis.
Convolution
Description of Discrete and Continuous
Multidimensional Systems
Conversion from one description to the other
Transfer function, States-space equations,
Impulse Response, Difference Equations
Realization: Direct Structure, Cascade Structure,
Separable Structures, Multi-Input and
Multi-output Filters, Multidimensional Filters
Givone-Roesser Model, Fornasini-Marchesini Model.
Conversion from one model to the
other Model. Modelling of Partial Differential
Equations of Mathematical Physics with
Givone-Roesser Model or Fornasini-Marchesini Model
Observability of 2-dimentional systems
Controllability and minimality of 2-dimentional
systems.
m-D (multidimensional) Z Transform. Region of
Convergence. The Inverse m-D Z Transform. Complex
Convolution. m-D Parseval Theorem. The m-D Fourier
Transform.
The Sampling Process. 2-D Sampled Signals. The 2-D
Sampling Theorem. Symmetries.
Idealized Systems and Filters.
Stability. Stability Analysis in Frequency Domain.
Stability Analysis in State Space.
Stability Properties. Stability Theorems, Stability
Tests and Criteria. m-D Lyapunov
Stability Theory. Stability of Low-Order Filters.
Stability Margin. Definitions and Computation of
Stability Margin with various methods.
Comparison and Benchmarks
Systems’ and Signals’ Factorizability and
Factorization. Multivariable polynomial
factorization. Exact and Approximate Factorization.
Methods and Results
Multidimensional Digital Filters Theory:
Approximation for Nonrecursive Filters.
Properties of m-D nonrecursive Filters. Linear-Phase
Filters. Frequency Response.
Design Based on Fourier Series. Multidimensional
Window Functions. Design of 2-D
Circularly Symmetric Filters. Fan Filters. Design
based on McClellan Transformation
Multidimensional Digital Filters Theory:
Approximation for Recursive Filters.
Bilinear Transformation. Linear Transformations.
Analog-Filter Transformations.
Method of Hirano and Aggarwal. Filters with
Half-Plane Symmetry. Circularly
Symmetric Filters. Method of Goodman. Other
Transformations.
m-D Filters’ Design by Optimization. Quasi-Newton
Optimization Algorithms. Minimax
Method. SVD (Singular Value Decomposition) based
desing. Error Analysis. Stability
aspects and problems of m-D systems Design.
Computational Intelligence based m-D
design. New Aspects and Directions for Further
Research. Realization. Finite Wordlength
Effects. Overflow Limit Cycles.
Study Meterials:
[1] T.Matsuo, Y.Hasegawa, Realization
Theory of Discrete-Time Dynamical Systems, wo-Dimensional
Linear Systems, Springer-Verlag, Lecture Notes in
Control and Information Sciences, Berlin-Heidelberg,
2003.
[2] B.A.Shenoi, Magnitude and Delay Approximation of
1-D and 2-D Digital Filtersealization Theory of
Discrete-Time Dynamical Systems, wo-Dimensional
Linear Systems, Springer-Verlag, Digital Signal
Processing Book Series, 1999.
[3] T.Kaczorek, Two-Dimensional Linear Systems,
Springer-Verlag, Lecture Notes in Control and
Information Sciences, Berlin-Heidelberg, 1985.
[4] Wu-Sheng Lu, Andreas Antoniou, Two-Dimensional
Digital Filters, Marcel Dekker, New York, 1992.
[5] N.K.Bose (Editor), Multidimensional Systems
Theory, Progress, Directions and Open Problems in
Multidimensional Systems, D. Reidel Publishing
Company, Dordrecht, Holland 1985.
[6] N.K.Bose (Editor), Multidimensional Systems:
Theory and Applications, IEEE Press, 1979
[7] S.G.Tzafestas (Editor), Multidimensional
Systems, Marcel Dekker, New York, 1986.
[8] G.F.Simmons, Introduction to Topology and Modern
Analysis, McGraw-Hill Book Company, New York, 1980.
[9] R.P.Roesser, "A discrete state-space model for
image processing," IEEE Trans. Automat. Contr., vol.
AC-20, pp. 1-10, Feb. 1975.
[10] Various Papers in the WSEAS Transactions and
Books: http://www.wseas.org
http://elfe.tu-sofia.bg/staff.htm
http://elfe.tu-sofia.bg/curriculum4.htm
Course Structure: Each day is subdivided into
four sessions and will commence at 9.00 am and
finish at 5.00 pm. Lunch break is from 12.30 pm to
2.00 pm. Coffee will be served during the breaks.
Please note that the course will start at 9.15 am on
the first day.
Course Materials
The course fee of 300 Euros includes all
working materials, three lunches, coffee, tea and
all computer facilities used, where applicable.
WSEAS and NAUN reserve the right to make
changes to the programme that may prove necessary.
Cancellations: Participants who cancel their
registration due to special circumstances can only
transfer their payment to some future WSEAS or
IEEEAM or NAUN conference or course.
Venue and Accommodation: The course will take
place at the Marathon Beach Village located
in Marathon, Attica, Greece. It is 30 minutes
by bus from the Athens international airport.
This region is a well-known site, since it is the
place where the famous battle of Marathon between
the Greeks and the Persian army took place in 490
BC. The story says that after the bloody battle, a
messenger named Pheidippides ran the 42 km that
divided Marathon from Athens to announce the victory
of the Greeks, and died from exhaustion right after
spreading the news. This story is what started the
marathon foot race in witch today runners follow the
same Pheidippides route. At 8 km from the town of
Marathon you will find the Lake Marathon, which is
faced with a huge Pentelic marble dam (50m high and
stretching for 300m), the same marble used to build
the Parthenon. This lake used to be the unique water
source of Athens until 1956. The beautiful ruins of
the Doric Temple of Nemesis (435 BC), goddess of
retribution as well as the 6 th-century small temple
of Themis , goddess of justice and law, are located
nearby. The Archaeological Museum of Marathonas will
keep you into the archaeological mood. This
interesting region also has some little rocky inlets
with clean and nice water, very agreeable to visit,
as well as the big and beautiful beach of Schinias.
For more information on how to find Marathon
Beach Village and to arrange accommodation
during the course please
contact us
Photos from the area |
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C10]
Environmental Protection,
Marathon Beach, Attica,
June
16-18, 2012 |
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Course Description:
Environmental protection is a practice of
protecting the environment, on individual,
organizational or governmental levels, for the
benefit of the natural environment and (or) humans.
Due to the pressures of population and technology,
the biophysical environment is being degraded,
sometimes permanently. This has been recognized, and
governments have begun placing restraints on
activities that caused environmental degradation.
Since the 1960s, activism by the environmental
movement has created awareness of the various
environmental issues. There is not a full agreement
on the extent of the environmental impact of human
activity, and protection measures are occasionally
criticized. Academic institutions now offer courses,
such as environmental studies, environmental
management and environmental engineering, that study
the history and methods of environmental protection.
Protection of the environment is needed from various
human activities. Waste, pollution, loss of
biodiversity and the introduction of invasive
species are some of the issues relating to
environmental protection.
Course Objectives: In the end of the course
student is expected to be able to
- study environmental protection systems
- propose new measures and new policy for the
protection of the environment
Course Programme:
Biodiversity
Carbon offset
Conservation biology
Conservation movement
Ecology movement
Environmentalism
Environmental law
Environmental issues
Environmental Engineering
Sustainability
Sustainable development
Study Meterials:
Paul Hawken, Blessed Unrest, Penguin Books Ltd,
United States of America, 2007
John McCormick, The Global Environmental Movement,
London: John Wiley, 1995
Ramachandra Guha, Environmentalism: A Global History,
London, Longman, 1999
Sheldon Kamieniecki, editor, Environmental Politics
in the International Arena:
Movements, Parties, Organizations, and Policy,
Albany: State University of New York Press, 1993,
ISBN 0-7914-1664-X
Philip Shabecoff, A Fierce Green Fire: The American
Environmental Movement, Island Press; Revised
Edition, 2003, ISBN 1559634375
Paul Wapner, Environmental Activism and World Civil
Politics, Albany: State University of New York,
1996, ISBN 0-7914-2790-0
de Steiguer, J.E. 2006. The Origins of Modern
Environmental Thought. The University of Arizona
Press. Tucson. 246 pp.
Course Structure: Each day is subdivided into
four sessions and will commence at 9.00 am and
finish at 5.00 pm. Lunch break is from 12.30 pm to
2.00 pm. Coffee will be served during the breaks.
Please note that the course will start at 9.15 am on
the first day.
Course Materials
The course fee of 300 Euros includes all
working materials, three lunches, coffee, tea and
all computer facilities used, where applicable.
WSEAS and NAUN reserve the right to make
changes to the programme that may prove necessary.
Cancellations: Participants who cancel their
registration due to special circumstances can only
transfer their payment to some future WSEAS or
IEEEAM or NAUN conference or course.
Venue and Accommodation: The course will take
place at the Marathon Beach Village located
in Marathon, Attica, Greece. It is 30 minutes
by bus from the Athens international airport.
This region is a well-known site, since it is the
place where the famous battle of Marathon between
the Greeks and the Persian army took place in 490
BC. The story says that after the bloody battle, a
messenger named Pheidippides ran the 42 km that
divided Marathon from Athens to announce the victory
of the Greeks, and died from exhaustion right after
spreading the news. This story is what started the
marathon foot race in witch today runners follow the
same Pheidippides route. At 8 km from the town of
Marathon you will find the Lake Marathon, which is
faced with a huge Pentelic marble dam (50m high and
stretching for 300m), the same marble used to build
the Parthenon. This lake used to be the unique water
source of Athens until 1956. The beautiful ruins of
the Doric Temple of Nemesis (435 BC), goddess of
retribution as well as the 6 th-century small temple
of Themis , goddess of justice and law, are located
nearby. The Archaeological Museum of Marathonas will
keep you into the archaeological mood. This
interesting region also has some little rocky inlets
with clean and nice water, very agreeable to visit,
as well as the big and beautiful beach of Schinias.
For more information on how to find Marathon
Beach Village and to arrange accommodation
during the course please
contact us
Photos from the area |
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C11] Finite Differences and
Finite Elements for Scientists and Engineers
Marathon Beach, Attica,
June
23-25 , 2012 |
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Course Description:
We study Finite Differences Methods (FDM) and Finite
Elements Methods (FEM).
For FDM, we teach the book of Donald Greenspan and
Vincenzo Casulli "Numerical Analysis for Applied
Mathematics, Science and Engineering" and we focus
on FDM for 1-D, 2-D, 3-D, 4-D partial differential
equations, elliptic equations, parabolic equations,
hyperbolic equations. Special emphasis is given in
the so-called error estimation. We also study mildly
non-linear problems.
We study Finite Elements Methods (FEM) in an applied
way. Finite Elements. Hermite Functions. Splines.
Method of Least Mean Squares. Galerkin Method.
Collocation. Raylegh-Ritz.
Time-invariant Problems and Time-variant Problems.
FDM Applications in Electromagnetic Field,
Elasticity Theory, Quantum Mechanics, Fluid
Mechanics, Shallow Water Mechanics.
FEM Applications in Electromagnetic Field,
Elasticity Theory, Quantum Mechanics, Fluid
Mechanics, Shallow Water Mechanics.
Course Objectives: In the end of the course
student is expected to be able to solve
a variety of Time-invariant Problems and
Time-variant Problems in Electromagnetic Field,
Elasticity Theory, Quantum Mechanics, Fluid
Mechanics, Shallow Water Mechanics using every
method of FDM and FEM.
Course Programme:
Finite Differences Methods (FDM):
FDM for 1-D, 2-D, 3-D, 4-D partial differential
equations, elliptic equations, parabolic equations,
hyperbolic equations.
Error estimation.
Mildly non-linear problems.
Navier-Stokes Equations
Finite Elements Methods (FEM). Finite Elements.
Hermite Functions.
Splines.
Method of Least Mean Squares.
Galerkin Method.
Collocation. Raylegh-Ritz.
Time-invariant Problems and Time-variant Problems
with FDM and FEM
FDM Applications in Electromagnetic Field,
Elasticity Theory, Quantum Mechanics, Fluid
Mechanics, Shallow Water Mechanics.
FEM Applications in Electromagnetic Field,
Elasticity Theory, Quantum Mechanics, Fluid
Mechanics, Shallow Water Mechanics. Study Meterials:
[1]
Numerical Analysis for Applied Mathematics,
Science and Engineering, Donald Greenspan and
Vincenzo Casulli , 1988
[2] Numerical Solution of Partial Differential
Equations by the Finite Element Method Claes
Johnson, 2009
[3] The Finite Element Method: Linear Static and
Dynamic Finite Element Analysis Thomas J. R. Hughes,
1993
[4] Partial Differential Equations for Scientists
and Engineers, Stanley J. Farlow, 1995
Course Structure: Each day is subdivided into
four sessions and will commence at 9.00 am and
finish at 5.00 pm. Lunch break is from 12.30 pm to
2.00 pm. Coffee will be served during the breaks.
Please note that the course will start at 9.15 am on
the first day.
Course Materials
The course fee of 300 Euros includes all
working materials, three lunches, coffee, tea and
all computer facilities used, where applicable.
WSEAS and NAUN reserve the right to make
changes to the programme that may prove necessary.
Cancellations: Participants who cancel their
registration due to special circumstances can only
transfer their payment to some future WSEAS or
IEEEAM or NAUN conference or course.
Venue and Accommodation: The course will take
place at the Marathon Beach Village located
in Marathon, Attica, Greece. It is 30 minutes
by bus from the Athens international airport.
This region is a well-known site, since it is the
place where the famous battle of Marathon between
the Greeks and the Persian army took place in 490
BC. The story says that after the bloody battle, a
messenger named Pheidippides ran the 42 km that
divided Marathon from Athens to announce the victory
of the Greeks, and died from exhaustion right after
spreading the news. This story is what started the
marathon foot race in witch today runners follow the
same Pheidippides route. At 8 km from the town of
Marathon you will find the Lake Marathon, which is
faced with a huge Pentelic marble dam (50m high and
stretching for 300m), the same marble used to build
the Parthenon. This lake used to be the unique water
source of Athens until 1956. The beautiful ruins of
the Doric Temple of Nemesis (435 BC), goddess of
retribution as well as the 6 th-century small temple
of Themis , goddess of justice and law, are located
nearby. The Archaeological Museum of Marathonas will
keep you into the archaeological mood. This
interesting region also has some little rocky inlets
with clean and nice water, very agreeable to visit,
as well as the big and beautiful beach of Schinias.
For more information on how to find Marathon
Beach Village and to arrange accommodation
during the course please
contact us
Photos from the area |
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