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Ghaboussi J., Wu X.S. Numerical methods in computational mechanics

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Ghaboussi J., Wu X.S. Numerical methods in computational mechanics
CRC Press, 2017. — 313 p. — ISBN 9781498746755; ISBN 9781315368689.
This book explores the numerical algorithms underpinning modern finite element based computational mechanics software. It covers all the major numerical methods that are used in computational mechanics. It reviews the basic concepts in linear algebra and advanced matrix theory, before covering solution of systems of equations, symmetric eigenvalue solution methods, and direct integration of discrete dynamic equations of motion, illustrated with numerical examples. This book suits a graduate course in mechanics based disciplines, and will help software developers in computational mechanics. Increased understanding of the underlying numerical methods will also help practicing engineers to use the computational mechanics software more effectively.
Review of Matrix Analysis
Review of Methods of Analysis In Structural Mechanics
Solution of System of Linear Equations
Iterative Solution Methods for System of Linear Equations
Conjugate Gradient Methods
Solution Methods for System of Nonlinear Equations
Eigenvalue Solution Methods
Direct Integration of Dynamic Equation of Motion
The Generalized Difference Method
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