Constructive and Computational Methods for Differential and Integral Equations

Constructive and Computational Methods for Differential and Integral Equations Symposium, Indiana University February 17–20, 1974 / [electronic resource] : edited by David Lem Colton, Robert Pertsch Gilbert. - VIII, 480 p. online resource. - Lecture Notes in Mathematics, 430 0075-8434 ; . - Lecture Notes in Mathematics, 430 .

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.

9783540373025

10.1007/BFb0066262 doi


Integral equations.
Functional equations.
Integral Equations.
Difference and Functional Equations.

QA431

515.45
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