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＜電子ブック＞
Computational Methods in Engineering / by S. P. Venkateshan, Prasanna Swaminathan

版	1st ed. 2023.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2023
本文言語	英語
大きさ	XXIII, 820 p. 346 illus., 2 illus. in color : online resource
著者標目	*Venkateshan, S. P author Swaminathan, Prasanna author SpringerLink (Online service)
件　名	LCSH:Engineering mathematics LCSH:Mechanics, Applied LCSH:Engineering -- Data processing  全ての件名で検索 LCSH:Solids LCSH:Mechanical engineering FREE:Engineering Mathematics FREE:Engineering Mechanics FREE:Mathematical and Computational Engineering Applications FREE:Solid Mechanics FREE:Mechanical Engineering
一般注記	Introduction -- Solution of linear equations -- Computation of eigenvalues -- Solution of algebraic equations -- Interpolation The book is designed to serve as a textbook for courses offered to graduate and upper-undergraduate students enrolled in mechanical engineering. The book attempts to make students with mathematical backgrounds comfortable with numerical methods. The book also serves as a handy reference for practicing engineers who are interested in applications. The book is written in an easy-to-understand manner, with the essence of each numerical method clearly stated. This makes it easy for professional engineers, students, and early career researchers to follow the material presented in the book. The structure of the book has been modeled accordingly. It is divided into four modules: i) solution of a system of equations and eigenvalues which includes linear equations, determining eigenvalues, and solution of nonlinear equations; ii) function approximations: interpolation, data fit, numerical differentiation, and numerical integration; iii) solution of ordinary differential equations—initial valueproblems and boundary value problems; and iv) solution of partial differential equations—parabolic, elliptic, and hyperbolic PDEs. Each section of the book includes exercises to reinforce the concepts, and problems have been added at the end of each chapter. Exercise problems may be solved by using computational tools such as scientific calculators, spreadsheet programs, and MATLAB codes. The detailed coverage and pedagogical tools make this an ideal textbook for students, early career researchers, and professionals HTTP:URL=https://doi.org/10.1007/978-3-031-08226-9

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