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Adaptive Multilevel Solution of Nonlinear Parabolic PDE - download pdf or read online

By Jens Lang

these days there's an expanding emphasis on all elements 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 permit us to house 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's my purpose to impart the sweetness and complexity present in the theoretical research of the adaptive set of rules proposed the following, in its attention and in fixing non-trivial advanced difficulties. i am hoping that this system will locate many extra fascinating functions. Berlin-Dahlem, might 2000 Jens Lang Acknowledgements i've got seemed ahead to penning this part because it is a excitement for me to thank all acquaintances 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 clinical Computing. i've got benefited immensly from his aid to get the proper views, and from his non-stop inspire­ ment and aid 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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