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Deuflhard, Peter / Weiser, Martin

Adaptive Numerical Solution of PDEs

Series:De Gruyter Textbook

    600,00 € / $840.00 / £545.50*

    eBook (PDF)
    Publication Date:
    August 2012
    Copyright year:
    2012
    ISBN
    978-3-11-028311-2
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    Overview

    • Standard work on numerics of partial differential equations
    • Elementary and understandable presentation of the mathematical theory
    • Covers efficiency of numerical algorithms and scientific computing
    • Includes in-depth mathematical tools in the appendix

    Aims and Scope

    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.

    Details

    xi, 421 pages
    Language:
    English
    Type of Publication:
    Textbook
    Keyword(s):
    Numerical Solution; Partial Differential Equation; Scientific Computing; Algorithm; Adaptive

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

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