Read e-book online Adaptive Multilevel Solution of Nonlinear Parabolic PDE PDF

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 boost effective higher-order one-step integration tools that may deal with very stiff equations and which enable 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 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'm hoping that this system will locate many extra attention-grabbing purposes. Berlin-Dahlem, might 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 invaluable 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 fitting views, and from his non-stop inspire­ ment and help over a number of years. He definitely will forgive me using Rosenbrock equipment instead of extrapolation easy methods 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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