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Scientific Computing - Vol. III - Approximation and Integration (Hardcover, 1st ed. 2017)
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Scientific Computing - Vol. III - Approximation and Integration (Hardcover, 1st ed. 2017)
Series: Texts in Computational Science and Engineering, 20
Expected to ship within 12 - 17 working days
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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 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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