Compact ADI method for solving parabolic differential equations
DOI10.1002/num.1037zbMath1004.65086OpenAlexW2021093599MaRDI QIDQ4537632
Publication date: 1 July 2002
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.1037
stabilityalternating direction implicit methodparabolic differential equationscompact finite differenceADI methodPeaceman-Rachford ADI method
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Initial value problems for second-order parabolic equations (35K15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Alternating direction methods for three space variables
- Alternating-direction collocation for rectangular regions
- Compact finite difference schemes with spectral-like resolution
- A generalized Peaceman-Rachford ADI scheme for solving two-dimensional parabolic differential equations
- A new ADI scheme for solving three-dimensional parabolic differential equations
- The stability of numerical boundary treatments for compact high-order finite-difference schemes
- A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- Generalized alternating-direction collocation methods for parabolic equations. I. Spatially varying coefficients
- Generalized alternating-direction collocation methods for parabolic equations. II. Transport equations with application to seawater intrusion problems
- Generalized alternating-direction collocation methods for parabolic equations. III. Nonrectangular domains
- An analysis of alternating-direction methods for parabolic equations
- Analysis of alternating direction collocation methods for parabolic and hyperbolic problems in two space variables
- An Orthogonal Spline Collocation Alternating Direction Implicit Crank--Nicolson Method for Linear Parabolic Problems on Rectangles
- Stability of the Fractional Step $\Theta $-Scheme for the Nonstationary Navier–Stokes Equations
- A second-order ADI scheme for three-dimensional parabolic differential equations
- Domain Decomposition Operator Splittings for the Solution of Parabolic Equations
- Finite Volume Methods for Convection-Diffusion Problems
- On the Construction and Comparison of Difference Schemes