Numerical methods
著者
書誌事項
Numerical methods
Brooks/Cole Pub. Co., c1998
2nd ed
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注記
"A Gary W. Ostedt book"--T.p. verso
System requirements for accompanying computer disk: MS-DOS
Includes bibliographical references (p. 519-523) and index
内容説明・目次
内容説明
This text emphasizes the intelligent application of approximation techniques to the type of problems that commonly occur in engineering and the physical sciences. The authors provide an introduction to various appropriate approximation techniques; they show students why the methods work, what type of errors to expect, and when an application might lead to difficulties; and they provide information about the availability of high-quality software for numerical approximation routines. The techniques covered in this text are essentially the same as those covered in the sixth edition of these authors' "Numerical Analysis" text, but the emphasis is much different. In this text, full mathematical justifications are provided only if they are concise and add to the understanding of the methods. The emphasis is placed on describing each technique from an implementation standpoint, and on convincing the student that the method is reasonable both mathematically and computationally.
目次
Mathematical preliminaries and error analysis. solutions of equations of one variable. interpolation and polynomial approximation. numerical integration and differentiation. numerical solution of initial-value problems. direct methods for solving linear systems. iterative methods for solving linear systems. approximation theory. approximating eigenvalues. solutions of systems of nonlinear equations. boundary-value Problems for ordinary differential equations. numerical methods for partial differential equations.
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