A parallel-in-time approach for wave-type PDEs
DOI10.1007/s00211-021-01197-5zbMath1477.65150arXiv1907.11771OpenAlexW2966279954WikidataQ114231029 ScholiaQ114231029MaRDI QIDQ2038416
Bengt Fornberg, Abe C. Ellison
Publication date: 6 July 2021
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.11771
Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
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- One step integration methods with maximum stability regions
- One step integration methods of third-fourth order accuracy with large hyperbolic stability limits
- Stability and accuracy of time-extrapolated ADI-FDTD methods for solving wave equations
- High order embedded Runge-Kutta formulae
- Stability of explicit time discretizations for solving initial value problems
- Wave propagation characteristics of Parareal
- Optimal stability polynomials for numerical integration of initial value problems
- A comparison of high-order explicit Runge-Kutta, extrapolation, and deferred correction methods in serial and parallel
- The sine-Gordon model and its applications. From pendula and Josephson junctions to gravity and high-energy physics
- Numerical treatment of ordinary differential equations by extrapolation methods
- 50 Years of Time Parallel Time Integration
- Parallel High-Order Integrators
- A Primer on Radial Basis Functions with Applications to the Geosciences
- A Direct Time Parallel Solver by Diagonalization for the Wave Equation
- Solving Ordinary Differential Equations II
- On Extrapolation Algorithms for Ordinary Initial Value Problems
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