Numerical Methods for Engineers and Scientists

Emphasizing the finite difference approach for solving differential equations, the second edition of Numerical Methods for Engineers and Scientists presents a methodology for systematically constructing individual computer programs. Providing easy access to accurate solutions to complex scientific and engineering problems, each chapter includes objectives, a discussion of a representative application, an outline of special features, and a list of tasks students should be able to complete after reading the chapter. The AIAA Journal calls the book "...a good, solid instructional text on the basic tools of numerical analysis."

"a good, solid instructional text on the basic tools of numerical analysis."-AIAA Journal

Autorentext
Hoffman, Joe D.; Hoffman, Joe D.; Frankel, Steven

Klappentext

This text places emphasis on solving differential equations using the finite difference approach. Among the other features are problem-solving methods, clear identification of the pitfalls of using selected algorithms, and more on practical solutions than theoretical abstraction.

Inhalt
Introduction. BASIC TOOLS OF NUMERICAL ANALYSIS. Systems of Linear Algebraic Equations. Eigenproblems. Nonlinear Equations. Polynomial Approximation and Interpolation. Numerical Differentiation and Difference Formulas. Numerical Integration. ORDINARY DIFFERENTIAL EQUATIONS. One-Dimensional Initial-Value Ordinary Differential Equations. One-Dimensional Boundary-Value Ordinary Differential Equations. PARTIAL DIFFERENTIAL EQUATIONS. Elliptic Partial Differential Equations. Parabolic Partial Differential Equations. Hyperbolic Partial Differential Equations. The Finite Element Method. References. Answers to Selected Problems. Index.