Topics in numerical analysis : proceedings of the Royal Irish Academy Conference on Numerical Analysis, 1972 / edited by John J. H. Miller.

Por: Royal Irish Academy Conference on Numerical AnalysisColaborador(es): Miller, John J. H [edt] | Royal Irish Academy | Royal Irish Academy. National Committee for MathematicsEditor: London ; New York : Published for the Royal Irish Academy by Academic Press, c1973Descripción: xviii, 348 p. : il. ; 26 cmISBN: 012496950X (v. 1)Otra clasificación: 65-06
Contenidos:
Computing through the ages / a discourse by C. Lanczos -- Some results on the stability and instability of the backward differentiation methods with non-uniform time steps / R. K. Brayton and C. C. Conley -- Order conditions for a general class of numerical methods for ordinary differential equations / J. C. Butcher -- Hermitean methods for initial value problems in partial differential equations / L. Collatz -- On the stability of difference schemes for some non-stationary problems / E. G. D'jakonov -- Some superconvergence results for Galerkin methods for the approximate solution of two-point boundary problems / J. Douglas, Jr. and T. Dupont -- The double eigenvalue problem / L. Fox, L. Hayes and D. F. Mayers -- Error estimates for Gauss-Jacobi quadrature formulae / G. Freud -- Approximations externes, par éléments finis de Lagrange d'ordre un et deux, du problème de Dirichlet pour l'opérateur biharmonique. Méthode itérative de résolution des problèmes approchés / R. Glowinski -- Some uses of the Lanczos algorithm in numerical linear algebra / G. H. Golub -- Difference approximations for singular perturbations of systems of ordinary differential equations / H.-O. Kreiss -- Legendre versus Chebyshev polynomials / C. Lanczos -- Remarks on "cheap control" / J. L. Lions -- Error analysis of collocation methods for solving Fredholm integral equations / B. Noble -- The use of numerical integration in finite element methods for solving parabolic equations / P. A. Raviart -- Error estimates and convergence in the numerical solution of non-linear parabolic equations / E. Schechter -- Discretizations of differential equations on infinite intervals and applications to function minimization / H. J. Stetter -- Discrete convergence of mappings / F. Stummel -- Approximate solution of Dirichlet's problem using approximating polygonal domains / V. Thomée -- Extensions of the successive overrelaxation theory with applications to finite element approximations / R. S. Varga.
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"Held under the auspices of the National Committee for Mathematics of the Royal Irish Academy at University College, Dublin."

Computing through the ages / a discourse by C. Lanczos -- Some results on the stability and instability of the backward differentiation methods with non-uniform time steps / R. K. Brayton and C. C. Conley -- Order conditions for a general class of numerical methods for ordinary differential equations / J. C. Butcher -- Hermitean methods for initial value problems in partial differential equations / L. Collatz -- On the stability of difference schemes for some non-stationary problems / E. G. D'jakonov -- Some superconvergence results for Galerkin methods for the approximate solution of two-point boundary problems / J. Douglas, Jr. and T. Dupont -- The double eigenvalue problem / L. Fox, L. Hayes and D. F. Mayers -- Error estimates for Gauss-Jacobi quadrature formulae / G. Freud -- Approximations externes, par éléments finis de Lagrange d'ordre un et deux, du problème de Dirichlet pour l'opérateur biharmonique. Méthode itérative de résolution des problèmes approchés / R. Glowinski -- Some uses of the Lanczos algorithm in numerical linear algebra / G. H. Golub -- Difference approximations for singular perturbations of systems of ordinary differential equations / H.-O. Kreiss -- Legendre versus Chebyshev polynomials / C. Lanczos -- Remarks on "cheap control" / J. L. Lions -- Error analysis of collocation methods for solving Fredholm integral equations / B. Noble -- The use of numerical integration in finite element methods for solving parabolic equations / P. A. Raviart -- Error estimates and convergence in the numerical solution of non-linear parabolic equations / E. Schechter -- Discretizations of differential equations on infinite intervals and applications to function minimization / H. J. Stetter -- Discrete convergence of mappings / F. Stummel -- Approximate solution of Dirichlet's problem using approximating polygonal domains / V. Thomée -- Extensions of the successive overrelaxation theory with applications to finite element approximations / R. S. Varga.

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MR, 48 #10035

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