On convergence of alternating direction procedures

DOI10.1007/BF01386310zbMath0112.34802OpenAlexW2030234544MaRDI QIDQ2625095

Carl Pearcy

Publication date: 1962

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131528

zbMATH Keywords

numerical analysis

Related Items

Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems, Modified alternating direction-implicit iteration method for linear systems from the incompressible Navier–Stokes equations, Preconditioning Sparse Matrices with Alternating and Multiplicative Operator Splittings, The generalized HSS method with a flexible shift-parameter for non-Hermitian positive definite linear systems, On convergence of alternating direction procedures in the presence of singular operators, Monotone and Oscillation Matrices Applied to Finite Difference Approximations, On the Rate of Convergence of an Alternating Direction Implicit Method in a Noncommutative Case, Computational methods of linear algebra, On the Effects of Scaling of the Peaceman-Rachford Method, ADI Methods for Cubic Spline Collocation Discretizations of Elliptic PDE, Zur Konvergenz des Peaceman-Rachford-Verfahrens, An alternating-direction iteration method for Helmholtz problems

Cites Work

• Alternating direction methods for three space variables
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit Methods
• Implicit Alternating Direction Methods
• An Alternating-Direction-Implicit Iteration Technique