Guide to Numerical Algorithm Design and Development - Delic, George

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Résumé :
1.Number Systems and Machine Representation.- 2.Function Approximation and Error.- 3.Interpolation of Discrete Data.- 4.Function Approximation.- 5.Operator Equations and Notation.- 6.Finding Roots of Functions.- 7.One-dimensional Numerical Integration.- 8.Two-dimensional Numerical Integration.- 9.Numerical Solution of Ordinary Differential Equations.- 10.Direct Search Optimization Methods....

Biographie:
s large-scale models in computational physics. The limitations of commodity processors and modern compilers is discussed, with advice provided on how to control them in an algorithm&rsquo...

Sommaire:
The focus of this unique textbook/reference is on numerical algorithms that are stable and provide high precision in common numerical problems encountered in large-scale modeling projects. The techniques presented are based on algorithms developed by the author over six decades of research and publications in peer-reviewed journals. The exposition includes topics typical of numerical analysis courses and is supplemented with examples of algorithms demonstrated in an engineering worksheet that is easy to read and comprehend. Each chapter ends with exercises and programming problems. Additional examples are available as downloadable Fortran code based on the author&rsquo...