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.
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.
Joe D. Hoffman, Ph.D., is professor emeritus at the School of Mechanical Engineering at Purdue University, West Lafayette, Indiana, USA. He taught graduate courses in computational fluid dynamics, gas dynamics, and numerical methods and directed graduate research in computational fluid dynamics and propulsion. Steven Frankel, Ph.D., is a professor at the School of Mechanical Engineering at Purdue University, West Lafayette, Indiana, USA. His research interests include modeling and simulation of turbulent flows with an emphasis on the development and application of LES to turbulent reacting flows, aeroacoustics, and multiphase and biological flows.
