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Computational methods in engineering

Record Type:	Electronic resources : Monograph/item
Title/Author:	Computational methods in engineeringby S. P. Venkateshan, Prasanna Swaminathan.
Author:	Venkateshan, S. P.
other author:	Swaminathan, Prasanna.
Published:	Cham :Springer International Publishing :2023.
Description:	1 online resource (xxiii, 820 p.) :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Engineering mathematics.
Online resource:	https://doi.org/10.1007/978-3-031-08226-9
ISBN:	9783031082269$q(electronic bk.)

Computational methods in engineering
Venkateshan, S. P.

Computational methods in engineering[electronic resource] /by S. P. Venkateshan, Prasanna Swaminathan. - Cham :Springer International Publishing :2023. - 1 online resource (xxiii, 820 p.) :ill., digital ;24 cm.

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 value problems 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.

ISBN: 9783031082269$q(electronic bk.)

Standard No.: 10.1007/978-3-031-08226-9doiSubjects--Topical Terms:

182072
Engineering mathematics.

LC Class. No.: TA330

Dewey Class. No.: 620.00151

Computational methods in engineering
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520 $a 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 value problems 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.
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