A two-level compact ADI method for solving second-order wave equations
DOI10.1080/00207160.2012.754016zbMath1279.65099OpenAlexW2105511643MaRDI QIDQ2855768
Publication date: 22 October 2013
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2012.754016
stabilityconvergencewave equationnumerical experimentsRichardson extrapolationdiscrete energy methodcompact alternating direction implicit (ADI) method
Wave equation (35L05) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Cites Work
- Maximum norm error estimates of efficient difference schemes for second-order wave equations
- Stability and accuracy of time-extrapolated ADI-FDTD methods for solving wave equations
- Compact finite difference schemes with spectral-like resolution
- A new fourth-order compact finite difference scheme for the two-dimensional second-order hyperbolic equation
- A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
- An unconditionally stable alternating direction implicit scheme for the two space dimensional linear hyperbolic equation
- A new unconditionally stable ADI compact scheme for the two-space-dimensional linear hyperbolic equation
- Unconditionally stable ADI scheme of higher-order for linear hyperbolic equations
- Error Estimate of Fourth-Order Compact Scheme for Linear Schrödinger Equations
- Convergence of compact ADI method for solving linear Schrödinger equations
- Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
- The combination of collocation, finite difference, and multigrid methods for solution of the two-dimensional wave equation
- An Unconditionally Stable ADI Method for the Linear Hyperbolic Equation in Three Space Dimensions
- The numerical solution of the telegraph equation by the alternating group explicit (AGE) method
- Comparison of High-Accuracy Finite-Difference Methods for Linear Wave Propagation
- Time Compact High Order Difference Methods for Wave Propagation
- Difference Approximations for the Second Order Wave Equation
- Application of Richardson extrapolation to the numerical solution of partial differential equations
- Convergence of Fourth Order Compact Difference Schemes for Three‐Dimensional Convection‐Diffusion Equations
- High order implicit collocation method for the solution of two‐dimensional linear hyperbolic equation
- New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations