Constructive and Computational Methods for Differential and Integral Equations [electronic resource] : Symposium, Indiana University February 17–20, 1974 / edited by David Lem Colton, Robert Pertsch Gilbert.

Contributor(s): Colton, David Lem [editor.] | Gilbert, Robert Pertsch [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 430Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1974Description: VIII, 480 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540373025Subject(s): Mathematics | Mathematics | Mathematics, generalAdditional physical formats: Printed edition:: No titleDDC classification: 510 LOC classification: QA1-939Online resources: Click here to access online
Contents:
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.
In: Springer eBooks
Item type: E-BOOKS
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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.

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