Scientific Computing : Vol. III - Approximation and Integration. 1st ed. 2017

種類:

電子ブック

責任表示:

by John A. Trangenstein

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2017

著者名:

• Trangenstein, John A.
• SpringerLink (Online service)

シリーズ名:

Texts in Computational Science and Engineering ; 20

ISBN:

9783319691107 [3319691104]    

注記:

1. Interpolation and Approximation -- Differentiation and Integration -- Initial Value Problems -- Boundary Value Problems -- References -- Author Index.
This is the third of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses topics that depend more on calculus than linear algebra, in order to prepare the reader for solving differential equations. This book and its companions show how to determine the quality of computational results, and how to measure the relative efficiency of competing methods. Readers learn how to determine the maximum attainable accuracy of algorithms, and how to select the best method for computing problems. This book also discusses programming in several languages, including C++, Fortran and MATLAB. There are 90 examples, 200 exercises, 36 algorithms, 40 interactive JavaScript programs, 91 references to software programs and 1 case study. Topics are introduced with goals, literature references and links to public software. There are descriptions of the current algorithms in GSLIB and MATLAB. This book could be used for a second course in numerical methods, for either

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