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.

part One|92 pages

Basic Computational Tools

chapter Chapter One|24 pages

Linear Systems and Matrices

chapter Chapter Two|20 pages

Nonlinear Systems

chapter Chapter Three|30 pages

Approximation, Interpolation, and Curve Fitting

chapter Chapter Four|16 pages

Numerical Integration

part Two|140 pages

Computational Tools for Applications

chapter Chapter Five|14 pages

Finite-Difference Techniques

chapter Chapter Six|22 pages

Initial-Value Problems

chapter Chapter Seven|14 pages

Ordinary Differential Equations

chapter Chapter Eight|20 pages

Partial Differential Equations

chapter Chapter Nine|24 pages

Energy Methods and Minimization

chapter Chapter Ten|26 pages

Finite-Element Methods

chapter Chapter Eleven|18 pages

Dynamic Methods in Applied Mechanics

part Three|60 pages

Advanced Computational Tools

chapter Chapter Twelve|20 pages

Method of Characteristics

chapter Chapter Thirteen|18 pages

Finite-Volume Methods

chapter Chapter Fourteen|20 pages

Biomechanical Applications