Numerical Methods for Engineers and Scientists, Third Edition

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.

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.