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Scientific Computing - Vol. II - Eigenvalues and Optimization (Hardcover, 1st ed. 2017)
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Scientific Computing - Vol. II - Eigenvalues and Optimization (Hardcover, 1st ed. 2017)
Series: Texts in Computational Science and Engineering, 19
Expected to ship within 12 - 17 working days
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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.
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