Adaptive Multilevel Solution of Nonlinear Parabolic PDE Systems
Subtitle: Theory, Algorithm, and Applications
Publisher: Springer
Published: 2010
Language: eng
Number of pages: 162
ISBN-13: 9783642087479
Subjects: Differential equations, parabolic, numerical solutions; Differential equations, nonlinear, numerical solutions; Numerical analysis, data processing
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.