Splitting methods in partial differential equations

DOI10.1007/BF02995907zbMath0225.35006MaRDI QIDQ2548710

A. R. Mitchell

Publication date: 1971

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Mathematics Subject Classification ID

Theoretical approximation in context of PDEs (35A35)

Related Items (1)

A direction splitting algorithm for incompressible flow in complex geometries

Cites Work

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• A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
• Improved forms of the alternating direction methods of Douglas, Peaceman, and Rachford for solving parabolic and elliptic equations
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• Application of the splitting method to the numerical solution of dynamic problems in elasticity theory
• Some application of splitting-up methods to the solution of mathematical physics problems
• The Equivalence of Certain Alternating Direction and Locally One-Dimensional Difference Methods
• Alternating direction methods for parabolic equations in two space dimensions with a mixed derivative
• L. A. Ljusternik — W. I. Sobolew, Elemente der Funktionalanalysis. (Mathematische Lehrbücher und Monographien, Band VIII) XI + 256 S. m. 4 Abb. Berlin 1965. Akademie‐Verlag. Preis geb. MDN 25,—
• Intermediate boundary corrections for split operator methods in three dimensions
• A New Computational Procedure for A.D.I. Methods

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