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Titlebook: Numerical Algorithms with C; Gisela Engeln-Müllges,Frank Uhlig Textbook 1996 Springer-Verlag Berlin Heidelberg 1996 ANSI C-Programs.Algori

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书目名称Numerical Algorithms with C
编辑Gisela Engeln-Müllges,Frank Uhlig
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图书封面Titlebook: Numerical Algorithms with C;  Gisela Engeln-Müllges,Frank Uhlig Textbook 1996 Springer-Verlag Berlin Heidelberg 1996 ANSI C-Programs.Algori
描述The book gives an informal introduction to mathematical and computational principles governing numerical analysis, as well as practical guidelines for using over 130 elaborate numerical analysis routines. It develops detailed formulas for both standard and rarely found algorithms, including many variants for linear and non-linear equation solvers, one- and two-dimensional splines of various kinds, numerical quadrature and cubature formulas of all known stable orders, and stable IVP and BVP solvers, even for stiff systems of differential equations. The descriptions of the algorithms are very detailed and focus on their implementation, giving sensible decision criteria to choose among the algorithms and describing the merits and demerits of each one. The authors see "Numerical Algorithms with C" as a depository of highly useful and effective algorithms and codes for the scientist and engineer who needs to have direct access to such algorithms. The programs are all field tested. The enclosed CD-ROM contains .all co.mputer codes, a compiler and a test bed of programs and data for most of the algorithms. Each test program includes detailed comments and describes available options, all c
出版日期Textbook 1996
关键词ANSI C-Programs; Algorithmen; Ansi C-Programme; C programming language; C-Programme; Numerical mathematic
版次1
doihttps://doi.org/10.1007/978-3-642-61074-5
isbn_softcover978-3-642-64682-9
isbn_ebook978-3-642-61074-5
copyrightSpringer-Verlag Berlin Heidelberg 1996
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elines for using over 130 elaborate numerical analysis routines. It develops detailed formulas for both standard and rarely found algorithms, including many variants for linear and non-linear equation solvers, one- and two-dimensional splines of various kinds, numerical quadrature and cubature formu
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Interpolating Polynomial Splines for Constructing Smooth Curves,n represent the desired curve by a spline function . with ., which is compared of cubic polynomials .. for . and . = 0, ..., n -1. These .. are defined differently for each subinterval and must satisfy certain . at the nodes.
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Boundary Value Problems for Ordinary Differential Equations,(18.2) form a . of second order. The boundary conditions (18.2) can be replaced by nonlinear conditions . and .. Such conditions will not be treated explicitly here. The subroutine BVP in the program section can handle such conditions as well.
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Iterative Methods for Linear Systems,that for a not ideally conditioned system matrix ., the solution can become entirely useless. In contrast, iterative methods are unaffected by rounding errors to a large extent, because each approximate solution with its inherent computational error can easily be improved upon in the following itera
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