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Titlebook: Numerical Treatment of Partial Differential Equations; Christian Grossmann,Hans-Gorg Roos,Martin Stynes Textbook 2007 Springer-Verlag Berl

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书目名称Numerical Treatment of Partial Differential Equations
编辑Christian Grossmann,Hans-Gorg Roos,Martin Stynes
视频video
概述Includes supplementary material:
丛书名称Universitext
图书封面Titlebook: Numerical Treatment of Partial Differential Equations;  Christian Grossmann,Hans-Gorg Roos,Martin Stynes Textbook 2007 Springer-Verlag Berl
描述Many well-known models in the natural sciences and engineering, and today even in economics, depend on partial di?erential equations. Thus the e?cient numerical solution of such equations plays an ever-increasing role in state-- the-art technology. This demand and the computational power available from current computer hardware have together stimulated the rapid development of numerical methods for partial di?erential equations—a development that encompasses convergence analyses and implementational aspects of software packages. In 1988 we started work on the ?rst 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 di?er- tial equations. The success of this ?rst 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 di?erential equations in recent times. The present English version slightly improves the third German edition of 2005: we have corrected some minor erro
出版日期Textbook 2007
关键词Boundary value problem; Finite Differences; Finite Element Methods; Finite Volumes; Partial Differential
版次1
doihttps://doi.org/10.1007/978-3-540-71584-9
isbn_softcover978-3-540-71582-5
isbn_ebook978-3-540-71584-9Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag Berlin Heidelberg 2007
The information of publication is updating

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Numerical Treatment of Partial Differential Equations978-3-540-71584-9Series ISSN 0172-5939 Series E-ISSN 2191-6675
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https://doi.org/10.1007/978-3-540-71584-9Boundary value problem; Finite Differences; Finite Element Methods; Finite Volumes; Partial Differential
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Partial Differential Equations: Basics and Explicit Representation of Solutions,A partial differential equation is an equation that contains partial derivatives of an unknown function . : . R and that is used to define that unknown function. Here . denotes an open subset of R. with . 2 (in the case . = 1 one has a so-called ordinary differential equation).
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Finite Difference Methods,In Collatz’s famous 1950 monograph ., the following statement can be found:
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Weak Solutions, Elliptic Problems and Sobolev Spaces,In Chapter 2 we discussed difference methods for the numerical treatment of partial differential equations. The basic idea of these methods was to use information from a discrete set of points to approximate derivatives by difference quotients.
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