e-book

Numerical Treatment of Partial Differential Equations

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Many well-known models in the natural sciences and engineering, and today
even in economics, depend on partial differential equations. Thus the efficient
numerical solution of such equations plays an ever-increasing role in state-ofthe-
art technology. This demand and the computational power available from
current computer hardware have together stimulated the rapid development
of numerical methods for partial differential equations—a development that
encompasses convergence analyses and implementational aspects of software
packages.

In 1988 we started work on the first German edition of our book, which
appeared in 1992. Our aim was to give students a textbook that contained the
basic concepts and ideas behind most numerical methods for partial differential
equations. The success of this first edition and the second edition in 1994
encouraged us, ten years later, to write an almost completely new version,
taking into account comments from colleagues and students and drawing on
the enormous progress made in the numerical analysis of partial differential
equations in recent times. The present English version slightly improves the
third German edition of 2005: we have corrected some minor errors and added
additional material and references.

Our main motivation is to give mathematics students and mathematicallyinclined
engineers and scientists a textbook that contains all the basic discretization
techniques for the fundamental types of partial differential equations; one
in which the reader can find analytical tools, properties of discretization techniques
and advice on algorithmic aspects. Nevertheless, we acknowledge that
in fewer then 600 pages it is impossible to deal comprehensively with all these
topics, so we have made some subjective choices of material. Our book is
mainly concerned with finite element methods (Chapters 4 and 5), but we also
discuss finite difference methods (Chapter 2) and finite volume techniques.
Chapter 8 presents the basic tools needed to solve the discrete problems generated
by numerical methods, while Chapter 6 (singularly perturbed problems)
and Chapter 7 (variational inequalities and optimal control) are special topics
that reflect the research interests of the authors.

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Ketersediaan

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Informasi Detail

Judul Seri

Translation and revision of the 3rd edition of “Numerische Behandlung Partieller Differentialgleichungen” Published by Teubner, 2005.

No. Panggil

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Penerbit

New York : Springer-Verlag Berlin Heidelberg., 2007

Deskripsi Fisik

xi, 591 Hlm.

Bahasa

English

ISBN/ISSN

9783540715825

Klasifikasi

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Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

3rd ed.

Subjek

MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

agus

Versi lain/terkait

Lampiran Berkas

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