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Titlebook: Adaptive Multilevel Solution of Nonlinear Parabolic PDE Systems; Theory, Algorithm, a Jens Lang Book 2001 Springer-Verlag Berlin Heidelberg

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期刊全稱(chēng)Adaptive Multilevel Solution of Nonlinear Parabolic PDE Systems
期刊簡(jiǎn)稱(chēng)Theory, Algorithm, a
影響因子2023Jens Lang
視頻videohttp://file.papertrans.cn/145/144702/144702.mp4
發(fā)行地址Monograph on a hot topic in CSE.Includes supplementary material:
學(xué)科分類(lèi)Lecture Notes in Computational Science and Engineering
圖書(shū)封面Titlebook: Adaptive Multilevel Solution of Nonlinear Parabolic PDE Systems; Theory, Algorithm, a Jens Lang Book 2001 Springer-Verlag Berlin Heidelberg
影響因子Nowadays there is an increasing emphasis on all aspects of adaptively gener- ating a grid that evolves with the solution of a PDE. Another challenge is to develop efficient higher-order one-step integration methods which can handle very stiff equations and which allow us to accommodate a spatial grid in each time step without any specific difficulties. In this monograph a combination of both error-controlled grid refinement and one-step methods of Rosenbrock-type is presented. It is my intention to impart the beauty and complexity found in the theoretical investigation of the adaptive algorithm proposed here, in its realization and in solving non-trivial complex problems. I hope that this method will find many more interesting applications. Berlin-Dahlem, May 2000 Jens Lang Acknowledgements I have looked forward to writing this section since it is a pleasure for me to thank all friends who made this work possible and provided valuable input. I would like to express my gratitude to Peter Deuflhard for giving me the oppor- tunity to work in the field of Scientific Computing. I have benefited immensly from his help to get the right perspectives, and from his continuous encourage- ment
Pindex Book 2001
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Central Banking in the 21st Century,e formulated in terms of sectorial operators which are negative infinitesimal generators of analytic semigroups. They are general enough to cover a huge class of important applications. Our setting is taken from . and . [103], where a rigorous analysis of linearly implicit time discretizations appli
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Empirical Study of Monetary Policy Tools,or the numerical practice. The sharpness of the above convergence rates for the fully discretized schemes can be observed for two different nonlinear equations. The quality of the hierarchical error estimator in space is assessed in terms of the effectivity index. Our discussions in §1 and §2 are li
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Empirical Study of Monetary Policy Tools, different spatial dimensions. Clearly, the acceptance of numerical algorithms can benefit from demonstrating that they work robustly and safely over a wide range of practically relevant problems. Starting with practical computations one will be quickly forced to realize that the understanding and c
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Adaptive Multilevel Solution of Nonlinear Parabolic PDE Systems978-3-662-04484-1Series ISSN 1439-7358 Series E-ISSN 2197-7100
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978-3-642-08747-9Springer-Verlag Berlin Heidelberg 2001
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