Numerical Solution of Partial Differential Equations: Finite Difference Methods - G. D. Smith

Sustantially 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.Smith, Gordon D. is the author of 'Numerical Solution of Partial Differential Equations: Finite Difference Methods - G. D. Smith' with ISBN 9780198596417 and ISBN 0198596413.