Ebook: Constructive and Computational Methods for Differential and Integral Equations: Symposium, Indiana University February 17–20, 1974

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Content:
Front Matter....Pages -
Convergence of the discrete ordinates method for the transport equation....Pages 1-27
The numerical solution of the equations for rotating stars....Pages 28-60
Automatic solution of differential equations....Pages 61-94
Integral operators for parabolic equations and their application....Pages 95-111
Galerkin methods for modeling gas pipelines....Pages 112-130
The application of sparse matrix methods to the numerical solution of nonlinear elliptic partial differential equations....Pages 131-153
Collocation solutions of integro-differential equations....Pages 154-183
On Dirichlet's problem for quasi-linear elliptic equations....Pages 184-236
The numerical solution of some elliptic boundary value problems by integral operator methods....Pages 237-252
Iterative schemes for elliptic systems....Pages 253-260
Extrapolation in the finite element method with penalty....Pages 261-270
Transonic design in two dimensions....Pages 271-288
Approximate regularized solutions to improperly posed linear integral and operator equations....Pages 289-332
A majorization technique for hyperbolic equations....Pages 333-362
Boundary layer methods for ordinary differential equations with small coefficients multiplying the highest derivatives....Pages 363-389
Fixed point iterations using infinite matrices, II....Pages 390-394
The line method for parabolic differential equations problems in boundary layer theory and existence of periodic solutions....Pages 395-413
An integral equation method for generalized analytic functions....Pages 414-452
Solving partial differential equations using ILLIAC IV....Pages 453-476

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Content:
Front Matter....Pages -
Convergence of the discrete ordinates method for the transport equation....Pages 1-27
The numerical solution of the equations for rotating stars....Pages 28-60
Automatic solution of differential equations....Pages 61-94
Integral operators for parabolic equations and their application....Pages 95-111
Galerkin methods for modeling gas pipelines....Pages 112-130
The application of sparse matrix methods to the numerical solution of nonlinear elliptic partial differential equations....Pages 131-153
Collocation solutions of integro-differential equations....Pages 154-183
On Dirichlet's problem for quasi-linear elliptic equations....Pages 184-236
The numerical solution of some elliptic boundary value problems by integral operator methods....Pages 237-252
Iterative schemes for elliptic systems....Pages 253-260
Extrapolation in the finite element method with penalty....Pages 261-270
Transonic design in two dimensions....Pages 271-288
Approximate regularized solutions to improperly posed linear integral and operator equations....Pages 289-332
A majorization technique for hyperbolic equations....Pages 333-362
Boundary layer methods for ordinary differential equations with small coefficients multiplying the highest derivatives....Pages 363-389
Fixed point iterations using infinite matrices, II....Pages 390-394
The line method for parabolic differential equations problems in boundary layer theory and existence of periodic solutions....Pages 395-413
An integral equation method for generalized analytic functions....Pages 414-452
Solving partial differential equations using ILLIAC IV....Pages 453-476
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