Scientific Computing
Vol. I - Linear and Nonlinear Equations
Buch in deiner Nähe kaufen
Beschreibung
This is the first of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses basic principles of computation, and fundamental numerical algorithms that will serve as basic tools for the subsequent two volumes. 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 80 examples, 324 exercises, 77 algorithms, 35 interactive JavaScript programs, 391 references to software programs and 4 case studies.
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 an introductory 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 principles of computer languages or numerical linear algebra.
Interactive HTML version uses 138 JavaScript programs for reader experimentation with algorithms
Combines analysis of well-posedness for scientific computing problems with perturbation analysis of related algorithms
Discusses the algorithms actually used by trusted software packages such as MATLAB, LAPACK and GSLIB
Interactive HTML version uses 138 JavaScript programs for reader experimentation with algorithms Combines analysis of well-posedness for scientific computing problems with perturbation analysis of related algorithms Discusses the algorithms actually used by trusted software packages such as MATLAB, LAPACK and GSLIB
Autor*in
John A. Trangenstein
Themen in »Scientific Computing«
algorithm approximation convergence efficiency error factorization integration matrix optimization programming ordinary differential equations
Stimmen zu »Scientific Computing«
“A comprehensive and largely self-contained treatment of the fundamental numerical mathematics necessary for addressing many of the mathematical problems that arise often in the physical sciences and engineering.” (Jason M. Graham, MAA Reviews, December, 2018)
()