G.D.SMITH NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS PDF

Gordon D. Smith , Gordon D.. Smith , Smith, Gordon Dennis Smith. 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.

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Gordon D. Smith , Gordon D.. Smith , Smith, Gordon Dennis Smith. 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.

The local truncation errors associated with the Pade approxim. A comparison of results for methods i ii and iii for. Comments on the solution of difference equations covering. A worked example covering each method. Eigenvalues of the Jacobi and SOR iteration matrices and. Theoretical determination of the optimum relaxation parame. Introduction to 2cyclic matrices and consistent ordering. The ordering vector for a block tridiagonal matrix. Stones strongly implicit iterative method.

A recent direct method. A sufficient condition for convergence. Electromagnetic Fields Jean G. Smith is at Brunel University.

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