Get Adaptive Multilevel Solution of Nonlinear Parabolic PDE PDF

By Jens Lang

ISBN-10: 3540679006

ISBN-13: 9783540679004

these days there's an expanding emphasis on all facets 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 equipment which could deal with very stiff equations and which enable us to deal with a spatial grid in every time step with none particular problems. during this monograph a mix 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 the following, in its recognition and in fixing non-trivial advanced difficulties. i am hoping that this technique will locate many extra fascinating functions. Berlin-Dahlem, may possibly 2000 Jens Lang Acknowledgements i've got seemed ahead to penning this part because it is a excitement for me to thank all buddies who made this paintings attainable and supplied precious 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 support to get the correct views, and from his non-stop motivate­ ment and aid over a number of years. He definitely will forgive me using Rosenbrock equipment 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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