A norm estimate for the ADI method for nonsymmetric problems
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Publication:1372964
DOI10.1016/S0024-3795(96)00638-6zbMath0891.65032OpenAlexW1964737310MaRDI QIDQ1372964
Publication date: 3 July 1998
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0024-3795(96)00638-6
convergence analysisconvergencenumerical experimentsconvection-diffusion problemnorm estimateADI methodlaternating direction implicit method
Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06)
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Cites Work
- A comparative study of ADI splitting methods for parabolic equations in two space dimensions
- A stable highly accurate ADI method for hyperbolic heat conduction equation
- The solution of elliptic partial differential equations in R-theta geometry by extrapolated A.D.I. methods
- 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
- On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
- Implicit Alternating Direction Methods
- ADI as a Preconditioning for Solving the Convection-Diffusion Equation
- Alternating Direction Implicit Methods
- An Alternating-Direction-Implicit Iteration Technique
