Adaptive Numerical Solution of Pdes

Name: Adaptive Numerical Solution of Pdes
Brand: Walter de Gruyter
SKU: 9783110283105
Price: 5828.0 INR
Availability: InStock

by Peter Deuflhard

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ISBN13: 9783110283105
Binding: Paperback
Subject: N/A
Publisher: Walter de Gruyter
Publisher Imprint: Walter de Gruyter
Publication Date: August 17, 2012
Pages: 432
Original Price: USD 84.0
Language: English
Edition: N/A
Item Weight: 740 grams
BISAC Subject(s): Applied, Applied Sciences, and Arithmetic

About The Book

From the Back Cover

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.

About The Author

Peter Deuflhard and Martin Weiser, Konrad-Zuse-Zentrum für Informationstechnik Berlin, Germany.

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