Constructive and Computational Methods for Differential and Integral Equations

Symposium, Indiana University, February 17-20, 1974
Herausgegeben:Colton, D. L.; Gilbert, R. P.

• Broschiertes Buch

Produktbeschreibung

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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Produktdetails

• Lecture Notes in Mathematics 430
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-07021-4
• 1974
• Seitenzahl: 492
• Erscheinungstermin: 18. Dezember 1974
• Englisch
• Abmessung: 235mm x 155mm x 27mm
• Gewicht: 772g
• ISBN-13: 9783540070214
• ISBN-10: 3540070214
• Artikelnr.: 23560835

Inhaltsangabe

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.