An Introduction to the Classical Approximation Methods in Applied Mechanics

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An Introduction to the Classical Approximation Methods in Applied Mechanics is written by Andreas Öchsner and published by Springer. It's available with International Standard Book Number or ISBN identification 3032069661 (ISBN 10) and 9783032069665 (ISBN 13).

This book presents a unified approach to classical approximation methods in engineering by applying the weighted residual method to transform differential equations into solvable algebraic systems. It demonstrates how this procedure underlies the finite difference, finite element, finite volume, and boundary element methods. The mechanical focus is on the one-dimensional tensile bar, allowing the mathematical framework and resulting matrix equations to be fully displayed and understood without symbolic abstraction. This approach supports a clear understanding of the derivation processes and is designed to help readers implement and extend features such as constitutive models in commercial simulation tools.