Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Adaptive Numerical Solution of Pdes

Adaptive Numerical Solution of Pdes

Deuflhard, Peter
Weiser, Martin

Paperback

Series: de Gruyter Textbook

General MathematicsGeneral Science

Publisher Price: $84.00

ISBN10: 3110283107
ISBN13: 9783110283105
Publisher: de Gruyter
Published: Aug 17 2012
Pages: 432
Weight: 1.52
Height: 0.89 Width: 6.69 Depth: 9.61
Language: English
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.

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