A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations
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Publication:5163215
DOI10.4208/cicp.OA-2020-0119zbMath1473.65154arXiv2006.14802MaRDI QIDQ5163215
Dimitrios Mitsotakis, Hendrik Ranocha, David I. Ketcheson
Publication date: 3 November 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.14802
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
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Summation-by-Parts Operators for General Function Spaces ⋮ Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes ⋮ Resolving entropy growth from iterative methods ⋮ High order conservative schemes for the generalized Benjamin-Ono equation on the unbounded domain ⋮ Multiple-relaxation Runge Kutta methods for conservative dynamical systems ⋮ Conservative Three-Level Linearized Finite Difference Schemes for the Fisher Equation and Its Maximum Error Estimates ⋮ On the rate of error growth in time for numerical solutions of nonlinear dispersive wave equations ⋮ A Conservative Fully Discrete Numerical Method for the Regularized Shallow Water Wave Equations
Uses Software
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