Adaptive Multilevel Solution of Nonlinear Parabolic PDE by Jens Lang

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 boost effective higher-order one-step integration tools that could 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 mix of either error-controlled grid refinement and one-step tools 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 right here, in its consciousness 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 regarded ahead to scripting this part because it is a excitement for me to thank all pals who made this paintings attainable and supplied necessary enter. i want 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 support to get the fitting 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 way to combine in time.

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