Approximation Techniques for Engineers : Second Edition

Approximation Techniques for Engineers provides a thorough and self-contained guide to the major techniques available for obtaining approximate solutions for problems arising in engineering. Demonstrating the techniques through numerous examples, algorithms, and applications, the book gives readers a working knowledge for selecting the most appropriate technique for their data as well as for various types of problems. The author first demonstrates techniques for approximating data and then examines the various methods for obtaining approximate solutions for linear and nonlinear equations and systems, ordinary and partial differential equations, initial- and boundary-value problems, and eigenvalue problems. Cover 1 Title 4 Copyright 5 Preface 8 Acknowledgments 10 About the author 12 Contents 14 Part I: Data approximations 20 Chapter 1: Classical interpolation methods 22 Chapter 2: Approximation with splines 42 Chapter 3: Least squares approximation 80 Chapter 4: Approximation of functions 98 Chapter 5: Numerical difierentiation 120 Chapter 6: Numerical integration 136 Part II: Approximate solutions 160 Chapter 7: Nonlinear equations in one variable 162 Chapter 8: Systems of nonlinear equations 180 Chapter 9: Iterative solution of linear systems 194 Chapter 10: Approximate solution of eigenvalue problems 220 Chapter 11: Initial value problems 240 Chapter 12: Boundary value problems 270 Closing remarks 304 List of Figures 306 List of Tables 308 Annotation 310 Index 312

Presenting numerous examples, algorithms, and industrial applications, Approximation Techniques for Engineers is your complete guide to the major techniques used in modern engineering practice. Whether you need approximations for discrete data of continuous functions, or you're looking for approximate solutions to engineering problems, everything you need is nestled between the covers of this book. Now you can benefit from Louis Komzsik's years of industrial experience to gain a working knowledge of a vast array of approximation techniques through this complete and self-contained resource.

Offers a collection of methods that provide an approximate result for engineering computations. Divided into two parts, this book begins with the classical iteration methods, followed by spline interpolations and least-square approximations. It also discusses various approximations of functions with their numerical differentiation and integration Beginning with the classical iteration methods, followed by spline interpolations and least-square approximations, this text discusses various approximations of functions as well as their numerical differentiation and integration