Adaptive Numerical Solution of PDEs is popular PDF and ePub book, written by Peter Deuflhard in 2012-08-31, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Adaptive Numerical Solution of PDEs can be Read Online from any device for your convenience.
Adaptive Numerical Solution of PDEs Book PDF Summary
This book deals with the general topic “Numerical solution of partial differential equations (PDEs)” with a focus on adaptivity of discretizations in space and time. By and large, introductory textbooks like “Numerical Analysis in Modern Scientific Computing” by Deuflhard and Hohmann should suffice as a prerequisite. The emphasis lies on elliptic and parabolic systems. Hyperbolic conservation laws are treated only on an elementary level excluding turbulence. Numerical Analysis is clearly understood as part of Scientific Computing. The focus is on the efficiency of algorithms, i.e. speed, reliability, and robustness, which directly leads to the concept of adaptivity in algorithms. The theoretical derivation and analysis is kept as elementary as possible. Nevertheless required somewhat more sophisticated mathematical theory is summarized in comprehensive form in an appendix. Complex relations are explained by numerous figures and illustrating examples. Non-trivial problems from regenerative energy, nanotechnology, surgery, and physiology are inserted. The text will appeal to graduate students and researchers on the job in mathematics, science, and technology. Conceptually, it has been written as a textbook including exercises and a software list, but at the same time it should be well-suited for self-study.
Detail Book of Adaptive Numerical Solution of PDEs PDF
- Author : Peter Deuflhard
- Release : 31 August 2012
- Publisher : Walter de Gruyter
- ISBN : 9783110283112
- Genre : Mathematics
- Total Page : 436 pages
- Language : English
- PDF File Size : 15,9 Mb
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