Plenary Lecture

Mathematical Modelling: the Interplay among Mathematics and Application Branches

Prof. Andris Buikis
Institute of Mathematics and Computer Science
University of Latvia
Raina bulv. 29, Riga, LV1459
LATVIA
buikis@latnet.lv

Abstract: In last two decades there have been explosion in computers: each 1.5 years the remembrance doubles as well as the speed of the computers increase twice. Wherewith, there are also changes in mathematics, especially there are changes in methods of solution of various numerical and analytical problems. Big volume batches of programs are developed and persistently improved (MAPLE, Matlab, Mathematica etc.). It allows specialists of particular industry to formulate and solve mathematical models of their interest themselves. Therefore, seemingly diminishes the role of mathematics and mathematicians in solution of practical problems.
In this paper, with a help of many concrete mathematical examples, it is shown that only the cooperation of specialists of particular industry and mathematicians allows successful modeling of complicated objects, phenomenon or processes. Of course, here will be paid special attention to the models of heat and mass transfer.