Adaptive Multilevel Solution on Nonlinear Parabolic PDE Systems
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.
