Adaptive Multilevel Solution of Nonlinear Parabolic PDE - download pdf or read online

By Jens Lang

these days there's an expanding emphasis on all points of adaptively gener­ ating a grid that evolves with the answer of a PDE. one other problem is to increase effective higher-order one-step integration tools that can deal with very stiff equations and which permit us to deal with a spatial grid in whenever step with none particular problems. during this monograph a mixture of either error-controlled grid refinement and one-step equipment of Rosenbrock-type is gifted. it's my goal to impart the sweetness and complexity present in the theoretical research of the adaptive set of rules proposed right here, in its recognition and in fixing non-trivial complicated difficulties. i am hoping that this technique will locate many extra attention-grabbing purposes. Berlin-Dahlem, may possibly 2000 Jens Lang Acknowledgements i've got appeared ahead to penning this part because it is a excitement for me to thank all neighbors who made this paintings attainable and supplied important enter. i want to precise 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 aid to get the suitable views, and from his non-stop inspire­ ment and aid 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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