Download e-book for kindle: Adaptive Multilevel Solution of Nonlinear Parabolic PDE by Jens Lang

By Jens Lang

ISBN-10: 3540679006

ISBN-13: 9783540679004

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 improve 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 tools of Rosenbrock-type is gifted. it's my goal to impart the wonder and complexity present in the theoretical research of the adaptive set of rules proposed right here, in its recognition and in fixing non-trivial advanced difficulties. i'm hoping that this technique will locate many extra attention-grabbing purposes. Berlin-Dahlem, might 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 necessary 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 precise views, and from his non-stop inspire­ ment and help over a number of years. He definitely will forgive me using Rosenbrock tools instead of extrapolation the right way 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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