Modern computational methods

Description

This book is an introduction to computational mechanics, proceeding from basic computational tools to advanced computational procedures and applications. Emphasis is placed on the numerical techniques and how they form the bases for algorithms. Numerous worked examples in structural mechanics, heat transfer, fluid flow, and biomechanics are given with the numerical codes to illustrate how the methods are applied. A concluding section addresses advanced applications in such areas as finite volume methods and biomechanics.  Read more... Abstract: This book is an introduction to computational mechanics, proceeding from basic computational tools to advanced computational procedures and applications. Emphasis is placed on the numerical techniques and how they form the bases for algorithms. Numerous worked examples in structural mechanics, heat transfer, fluid flow, and biomechanics are given with the numerical codes to illustrate how the methods are applied. A concluding section addresses advanced applications in such areas as finite volume methods and biomechanics Content: Preface Part I.Basic Computational Tools 1. Linear Systems and Matrices 2.Non-Linear Systems 3.Approximation, Interpolation, and Curve Fitting 4.Numerical Integration Part II:Computational Tools for Applications 5.Finite Differences Techniques 6.Initial Value Probelms 7.Ordinary Differential Equations 8.Partial Differential Equations 9.Energy Methods and Minimization 10.Finite Element Methods 11.Dynamic Methods in Applied Mechanics Part III.Advanced Computational Tools 12.Method of Characteristics 13.Finite Volume Methods 14.Biomechanical Applications