Plenary Lecture

Explicit General Ray Method for Solution of Coefficient Inverse Problems for Heat Transfer

Professor Alexander Grebennikov
Faculty of Physical and Mathematical Sciences
Autonomous University of Puebla
Av. San Claudio y Rio verde, Ciudad Universitaria
CP 72570, Puebla
MEXICO
E-mail: agrebe@fcfm.buap.mx

Abstract: The problem of the recognition of the multi component structure in heat transfer investigations is considered. It can be posed as the inverse coefficient problem for PDE with variable coefficient. The new explicit General Ray (GR) method for solution of this type of problems is proposed. In the case of noised input data the regularization with Recursive Spline Smoothing is used. Proposed method is justified theoretically, realized by fast and stable algorithms and MATLAB software, which quality is demonstrated by numerical experiments.

Brief Biography of the Speaker:
Grebennikov Alexander Ivanovich was born at 17 of April 1950 in Gorky city, Russia. The student of the Faculty of Calculating Mathematics and Cybernetics (FCMC) of Gorky State University at 1967-1972. Postgraduate student of the FCMC of Moscow State University (MSU) at 1972-1975. Was graduated PhD in 1976. Scientific interests: splines; data processing; inverse and ill-posed problems; fast algorithms in numerical analysis and applications. Publications: more than 120 articles in journals and proceedings, 2 texts of lectures, 5 monographs. Work: assistant professor of the FCMC MSU at 1976-1989; senior staff scientist of Scientific Research Computing Center (SRCC) MSU at 1989-1994; Head of Laboratory in SRCC MSU at 1995-1999; full professor of the Faculty of Physic and Mathematic Sciences of Autonomous University of Puebla, Mexico from 1999 to present day. Adres: Av. San Claudio y Rio verde, Ciudad Universitaria, FCFM, CP 72570, Puebla, tel./fax (52 222) 8920073, e-mail: agrebe@fcfm.buap.mx