Adaptive Multilevel Solution of Nonlinear Parabolic PDE by Jens Lang PDF

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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 tools which could 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 mixture of either error-controlled grid refinement and one-step equipment of Rosenbrock-type is gifted. it truly is my goal to impart the wonder and complexity present in the theoretical research of the adaptive set of rules proposed the following, in its awareness and in fixing non-trivial advanced difficulties. i am hoping that this technique will locate many extra attention-grabbing purposes. Berlin-Dahlem, might 2000 Jens Lang Acknowledgements i've got seemed ahead to scripting this part because it is a excitement for me to thank all pals who made this paintings attainable and supplied precious 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 aid to get the proper views, and from his non-stop motivate­ ment and help over a number of 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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