Efficient and accurate SAV schemes for the generalized Zakharov systems

DOI10.3934/dcdsb.2020262zbMath1465.35362OpenAlexW3082723250MaRDI QIDQ2026627

Yanyan Li

Publication date: 20 May 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020262

zbMATH Keywords

stabilityHamiltonian systemexistence of solutiongeneralized Zakharov systemsemi-implicit schemescalar auxiliary variable

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

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Arbitrary high-order structure-preserving methods for the quantum Zakharov system ⋮ Energy stable schemes for the Klein-Gordon-Zakharov equations ⋮ Efficient structure preserving schemes for the Klein-Gordon-Schrödinger equations

Cites Work

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• Numerical solution of the Zakharov equations
• A conservative difference scheme for the Zakharov equations
• The scalar auxiliary variable (SAV) approach for gradient flows
• Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions
• Spectral Methods
• Wave interactions in the singular Zakharov system
• Convergence of an Energy-Preserving Scheme for the Zakharov Equations in one Space Dimension
• Wavelet–Galerkin solutions for one‐dimensional partial differential equations
• A Uniformly and Optimally Accurate Method for the Zakharov System in the Subsonic Limit Regime
• A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
• Efficient and Stable Numerical Methods for the Generalized and Vector Zakharov System