Constructive and Computational Methods for Differential and Integral Equations: Symposium, Indiana University February 17โ20, 1974
โ Scribed by P. M. Anselone, A. G. Gibbs (auth.), Prof. Dr. David Lem Colton, Prof. Dr. Robert Pertsch Gilbert (eds.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 1974
- Tongue
- English
- Leaves
- 483
- Series
- Lecture Notes in Mathematics 430
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
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
โฆ Subjects
Mathematics, general
๐ SIMILAR VOLUMES
This book provides a comprehensive treatment of symmetry methods and dimensional analysis. The authors discuss aspects of Lie groups of point transformations, contact symmetries, and higher order symmetries that are essential for solving differential equations. Emphasis is given to an algorithmic, c
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