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Numerical Solution of Partial Differential Equations: Finite Difference Methods (Oxford Applied Mathematics and Computing Science Series)

Substantially revised, this authoritative observe covers the usual finite difference methods of parabolic, hyperbolic, and elliptic equations, and includes the concomitant theoretical work on consistency, stability, and convergence. The brand new edition includes revised and greatly expanded sections on stability in accordance with the Lax-Richtmeyer definition, the applying of Pade approximants to systems of unusual differential equations for parabolic and hyperbolic equations, and a considerably improved presentation of iterative methods. A fast-paced introduction to numerical methods, this will probably be a useful volume for college students of mathematics and engineering, and for postgraduates and professionals who want a clear, concise grounding on this discipline.

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