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Get Adaptive Multilevel Solution of Nonlinear Parabolic PDE PDF

By Jens Lang

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 strengthen effective higher-order one-step integration equipment that could deal with very stiff equations and which permit 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 equipment of Rosenbrock-type is gifted. it's my goal to impart the sweetness and complexity present in the theoretical research of the adaptive set of rules proposed the following, in its consciousness and in fixing non-trivial complicated difficulties. i am hoping that this system will locate many extra attention-grabbing functions. Berlin-Dahlem, may perhaps 2000 Jens Lang Acknowledgements i've got seemed ahead to penning this part because it is a excitement for me to thank all associates who made this paintings attainable and supplied important enter. i need to specific 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 a number of years. He definitely will forgive me using Rosenbrock tools instead of extrapolation how you can 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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