By Jens Lang

ISBN-10: 3540679006

ISBN-13: 9783540679004

these days there's an expanding emphasis on all features of adaptively gener­ ating a grid that evolves with the answer of a PDE. one other problem is to strengthen effective higher-order one-step integration equipment that may deal with very stiff equations and which permit us to deal with a spatial grid in at any time when step with none particular problems. during this monograph a mix of either error-controlled grid refinement and one-step tools of Rosenbrock-type is gifted. it really is my goal to impart the sweetness and complexity present in the theoretical research of the adaptive set of rules proposed the following, in its cognizance and in fixing non-trivial advanced difficulties. i'm hoping that this technique will locate many extra fascinating functions. Berlin-Dahlem, may possibly 2000 Jens Lang Acknowledgements i've got regarded ahead to penning this part because it is a excitement for me to thank all acquaintances who made this paintings attainable and supplied beneficial enter. i need to specific my gratitude to Peter Deuflhard for giving me the oppor­ tunity to paintings within the box of medical Computing. i've got benefited immensly from his support to get the proper views, and from his non-stop inspire­ ment and help over numerous years. He definitely will forgive me using Rosenbrock equipment instead of extrapolation how to combine in time.

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Adaptive Multilevel Solution of Nonlinear Parabolic PDE Systems: Theory, Algorithm, and Applications (Lecture Notes in Computational Science and Engineering) by Jens Lang


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