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Full Description
Emphasizing the finite difference approach for solving differential equations, this revised and updated edition presents a methodology for systematically constructing individual computer programs. The text provides accessible, accurate solutions to complex scientific and engineering problems. Each chapter includes objectives, a discussion of a representative application, and an outline of special features. Chapters conclude with a list of tasks students should be able to complete after reading the chapter—perfect for use as a study guide or for review. In addition, all computer code has been updated to reflect Fortran 95/2003.
Contents
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.