Scientific computing : an introductory survey

著者

書誌事項

Scientific computing : an introductory survey

Michael T. Heath

McGraw-Hill, c2002

2nd ed

  • : International ed

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注記

Includes bibliographical references (p. 523-548) and index

内容説明・目次

巻冊次

: International ed ISBN 9780071122290

内容説明

Scientific Computing, 2/e, presents a broad overview of numerical methods for solving all the major problems in scientific computing, including linear and nonlinearequations, least squares, eigenvalues, optimization, interpolation, integration, ordinary and partial differential equations, fast Fourier transforms, and random number generators. The treatment is comprehensive yet concise, software-oriented yet compatible with a variety of software packages and programming languages. The book features more than 160 examples, 500 review questions, 240 exercises, and 200 computer problems.Changes for the second edition include: expanded motivational discussions and examples; formal statements of all major algorithms; expanded discussions of existence, uniqueness, and conditioning for each type of problem so that students can recognize "good" and "bad" problem formulations and understand the corresponding quality of results produced; and expanded coverage of several topics, particularly eigenvalues and constrained optimization.The book contains a wealth of material and can be used in a variety of one- or two-term courses in computer science, mathematics, or engineering. Its comprehensiveness and modern perspective, as well as the software pointers provided, also make it a highly useful reference for practicing professionals who need to solve computational problems.

目次

1 Scientific Computing2 Systems of Linear Equations3 Linear Least Squares4 Eigenvalues Problems5 Nonlinear Equations6 Optimization7 Interpolation8 Numerical Integration and Differentiation9 Initial Value Problems for ODEs10 Boundary Value Problems for ODEs11 Partial Differential Equations12 Fast Fourier Transform13 Random Numbers and Simulation
巻冊次

ISBN 9780072399103

内容説明

Heath 2/e, presents a broad overview of numerical methods for solving all the major problems in scientific computing, including linear and nonlinearequations, least squares, eigenvalues, optimization, interpolation, integration, ordinary and partial differential equations, fast Fourier transforms, and random number generators. The treatment is comprehensive yet concise, software-oriented yet compatible with a variety of software packages and programming languages. The book features more than 160 examples, 500 review questions, 240 exercises, and 200 computer problems.Changes for the second edition include: expanded motivational discussions and examples; formal statements of all major algorithms; expanded discussions of existence, uniqueness, and conditioning for each type of problem so that students can recognize "good" and "bad" problem formulations and understand the corresponding quality of results produced; and expanded coverage of several topics, particularly eigenvalues and constrained optimization.The book contains a wealth of material and can be used in a variety of one- or two-term courses in computer science, mathematics, or engineering. Its comprehensiveness and modern perspective, as well as the software pointers provided, also make it a highly useful reference for practicing professionals who need to solve computational problems.

目次

1 Scientific Computing2 Systems of Linear Equations3 Linear Least Squares4 Eigenvalues Problems5 Nonlinear Equations6 Optimization7 Interpolation8 Numerical Integration and Differentiation9 Initial Value Problems for ODEs10 Boundary Value Problems for ODEs11 Partial Differential Equations12 Fast Fourier Transform13 Random Numbers and Simulation

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