ENGLISH

Adaptive Multilevel Solution of Nonlinear Parabolic PDE Systems: Theory, Algorithm, and Applications

By Jens Lang (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2001
ISBN
978-3-642-08747-9, 978-3-662-04484-1
DOI
10.1007/978-3-662-04484-1
Language
english
Format
PDF
Filesize
6 MB (6159240 bytes)
Series
Lecture Notes in Computational Science and Engineering 16
Edition
1
Pages
162\161
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Analysis; Numerical Analysis

Description

This book deals with the adaptive numerical solution of parabolic partial differential equations (PDEs) arising in many branches of applications. It illustrates the interlocking of numerical analysis, the design of an algorithm and the solution of practical problems. In particular, a combination of Rosenbrock-type one-step methods and multilevel finite elements is analysed. Implementation and efficiency issues are discussed. Special emphasis is put on the solution of real-life applications that arise in today's chemical industry, semiconductor-device fabrication and health care. The book is intended for graduate students and researchers who are either interested in the theoretical understanding of instationary PDE solvers or who want to develop computer codes for solving complex PDEs.

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