Numerical Solution of Partial Differential Equations

Substantially revised this authoritative study covers the standard finite difference methods of parabolic hyperbolic and elliptic equations and includes the concomitant theoretical work on consistency stability and convergence. The new edition includes revised and greatly expanded sections on stability based on the Lax-Richtmeyer definition the application of Pade approximants to systems of ordinary differential equations for parabolic and hyperbolic equations and a considerably improved presentation of iterative methods. A fast-paced introduction to numerical methods this will be a useful volume for students of mathematics and engineering and for postgraduates and professionals who need a clear concise grounding in this discipline.