Constructive and Computational Methods for Differential and Integral Equations -

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Résumé :
Convergence of the discrete ordinates method for the transport equation.- The numerical solution of the equations for rotating stars.- Automatic solution of differential equations.- Integral operators for parabolic equations and their application.- Galerkin methods for modeling gas pipelines.- The application of sparse matrix methods to the numerical solution of nonlinear elliptic partial differential equations.- Collocation solutions of integro-differential equations.- On Dirichlet's problem for quasi-linear elliptic equations.- The numerical solution of some elliptic boundary value problems by integral operator methods.- Iterative schemes for elliptic systems.- Extrapolation in the finite element method with penalty.- Transonic design in two dimensions.- Approximate regularized solutions to improperly posed linear integral and operator equations.- A majorization technique for hyperbolic equations.- Boundary layer methods for ordinary differential equations with small coefficients multiplying the highest derivatives.- Fixed point iterations using infinite matrices, II.- The line method for parabolic differential equations problems in boundary layer theory and existence of periodic solutions.- An integral equation method for generalized analytic functions.- Solving partial differential equations using ILLIAC IV.

Sommaire:
Convergence of the discrete ordinates method for the transport equation.- The numerical solution of the equations for rotating stars.- Automatic solution of differential equations.- Integral operators for parabolic equations and their application.- Galerkin methods for modeling gas pipelines.- The application of sparse matrix methods to the numerical solution of nonlinear elliptic partial differential equations.- Collocation solutions of integro-differential equations.- On Dirichlet's problem for quasi-linear elliptic equations.- The numerical solution of some elliptic boundary value problems by integral operator methods.- Iterative schemes for elliptic systems.- Extrapolation in the finite element method with penalty.- Transonic design in two dimensions.- Approximate regularized solutions to improperly posed linear integral and operator equations.- A majorization technique for hyperbolic equations.- Boundary layer methods for ordinary differential equations with small coefficients multiplying the highest derivatives.- Fixed point iterations using infinite matrices, II.- The line method for parabolic differential equations problems in boundary layer theory and existence of periodic solutions.- An integral equation method for generalized analytic functions.- Solving partial differential equations using ILLIAC IV.