EAN: 9783319691091

SCIENTIFIC COMPUTING - JOHN A TRANGENSTEIN GEBU...

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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