Stability and convergence of trigonometric integrator pseudospectral discretization for \textit{N}-coupled nonlinear Klein-Gordon equations
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Publication:1646172
DOI10.1016/j.amc.2014.01.144zbMath1410.65392OpenAlexW1964702406MaRDI QIDQ1646172
Publication date: 22 June 2018
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.01.144
KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
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Cites Work
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- Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime
- A study of extrapolation methods based on multistep schemes without parasitic solutions
- Invariant-conserving finite difference algorithms for the nonlinear Klein-Gordon equation
- Fourier collocation method for solving nonlinear Klein-Gordon equation
- On error bounds for the Gautschi-type exponential integrator applied to oscillatory second-order differential equations
- A Gautschi-type method for oscillatory second-order differential equations
- Soliton solutions of coupled nonlinear Klein--Gordon equations
- A decomposition method for solving the nonlinear Klein-Gordon equation
- A trigonometric integrator pseudospectral discretization for the \(N\)-coupled nonlinear Klein-Gordon equations
- Painlevé analysis and complete integrability of coupled Klein-Gordon equations
- Numerical integration of ordinary differential equations based on trigonometric polynomials
- A note on the Gautschi-type method for oscillatory second-order differential equations
- Spectral Methods
- Spectral Methods for Time-Dependent Problems
- Hierarchies of Coupled Soliton Equations. I
- Sympletic Finite Difference Approximations of the Nonlinear Klein--Gordon Equation
- Painlevé Analysis ofN-Coupled Nonlinear Klein–Gordon Equations
- Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
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