Finite difference schemes for long-time integration
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Publication:1339551
DOI10.1006/jcph.1994.1165zbMath0808.65083OpenAlexW2042778427MaRDI QIDQ1339551
Publication date: 6 December 1994
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcph.1994.1165
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for second-order parabolic equations (35K15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
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Cites Work
- Compact finite difference schemes with spectral-like resolution
- Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
- Highly accurate compact implicit methods and boundary conditions
- Difference schemes with best possible truncation error
- Numerical solution of ordinary differential equations
- The Relative Efficiency of Finite Difference and Finite Element Methods. I: Hyperbolic Problems and Splines
- An Order Five Runge-Kutta Process with Extended Region of Stability
- Unnamed Item
- Unnamed Item
- Unnamed Item