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Scientific Computing: Vol. II - Eigenvalues and Optimization
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Catalogue Information
Field name
Details
Dewey Class
518
Title
Scientific Computing ([EBook]) : Vol. II - Eigenvalues and Optimization / / by John A. Trangenstein.
Author
Trangenstein, John A.
Other name(s)
SpringerLink (Online service)
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2017.
Physical Details
XXVI, 600 p. 645 illus., 111 illus. in color. : online resource.
Series
Texts in computational science and engineering
1611-0994 ; ; 19
ISBN
9783319691077
Summary Note
This is the second of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses more advanced topics than volume one, and is largely not a prerequisite for volume three. 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 49 examples, 110 exercises, 66 algorithms, 24 interactive JavaScript programs, 77 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 LAPACK, GSLIB and MATLAB. This book could be used for a second course in numerical methods, for either upper level undergraduates or first year graduate students. Parts of the text could be used for specialized courses, such as nonlinear optimization or iterative linear algebra.:
Contents note
1. Eigenvalues and Eigenvectors -- 2. Iterative Linear Algebra -- 3. Nonlinear Systems -- 4. Constrained Optimization -- References -- Author Index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-319-69107-7
Links to Related Works
Subject References:
Computational Mathematics and Numerical Analysis
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Computer mathematics
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Differential Equations
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Mathematical optimization
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Mathematics
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Optimization
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Ordinary differential equations
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Authors:
Trangenstein, John A.
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SpringerLink (Online service)
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Series:
Texts in computational science and engineering
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Classification:
518
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