Download PDF by Jens Lang: Adaptive Multilevel Solution of Nonlinear Parabolic PDE

By Jens Lang

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 advance effective higher-order one-step integration equipment that can deal with very stiff equations and which enable us to house a spatial grid in every time step with none particular problems. during this monograph a mixture of either error-controlled grid refinement and one-step tools of Rosenbrock-type is gifted. it truly is my purpose to impart the sweetness and complexity present in the theoretical research of the adaptive set of rules proposed the following, in its recognition and in fixing non-trivial complicated difficulties. i'm hoping that this technique will locate many extra attention-grabbing functions. Berlin-Dahlem, may possibly 2000 Jens Lang Acknowledgements i've got regarded ahead to scripting this part because it is a excitement for me to thank all neighbors who made this paintings attainable and supplied important enter. i need 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 support to get the correct views, and from his non-stop motivate­ ment and help over numerous years. He definitely will forgive me using Rosenbrock tools 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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