Constructive and computational methods for differential and integral equations : symposium, Indiana University, February 17-20, 1974

Author(s)

    • Symposium on Constructive and Computational Methods for Differential and Integral Equations
    • Indiana University, Bloomington. Research Center for Applied Science

Bibliographic Information

Constructive and computational methods for differential and integral equations : symposium, Indiana University, February 17-20, 1974

edited by D.L. Colton and R.P. Gilbert

(Lecture notes in mathematics, 430)

Springer-Verlag, 1974

  • : Germany
  • : U.S.

Other Title

Constructive and computational methods

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Note

"Organized through the Research Center for Applied Science at Indiana University under the sponsorship of the Air Force Office of Scientific Research grant no. 74-2674." -- Pref

Includes bibliographies

Description and Table of Contents

Table of 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.

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