Eliminating grid-orientation errors in alternating-direction implicit schemes

DOI10.1016/0168-9274(91)90094-GzbMath0739.65080OpenAlexW1974440418MaRDI QIDQ1181516

S. E. Cohn, Dan Marchesin, Jeffrey M. Augenbaum

Publication date: 27 June 1992

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(91)90094-g

zbMATH Keywords

shallow water equationsCrank-Nicolson schemealternating-direction implicit schemesfactorization errorgrid-orientation error elimination

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (1)

ADI schemes for higher-order nonlinear diffusion equations.

Cites Work

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• An implicit finite-difference algorithm for hyperbolic systems in conservation-law form
• A factored implicit scheme for numerical weather prediction
• 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
• Numerical Methods Based on Additive Splittings for Hyperbolic Partial Differential Equations
• On the Construction and Comparison of Difference Schemes

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