Stability analysis of the numerical method of characteristics applied to a class of energy-preserving hyperbolic systems. I: Periodic boundary conditions
DOI10.1016/j.cam.2019.01.027zbMath1462.65132arXiv1610.09079OpenAlexW4231355465MaRDI QIDQ2423669
Publication date: 20 June 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.09079
Stability in context of PDEs (35B35) 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) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
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Cites Work
- Unnamed Item
- Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime
- A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in \((1+1)\)D
- Instability of optical solitons in the boundary value problem for a medium of finite extension
- An integrating factor for nonlinear Dirac equations
- Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime
- A soluble relativistic field theory
- High-order, low dispersive and low dissipative explicit schemes for multiple-scale and boundary problems
- Low-dissipation and low-dispersion fourth-order Runge-Kutta algorithm
- The first-order perturbed SBS equations
- Numerical study of solitary wave stability in cubic nonlinear Dirac equations in 1D
- Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics
- Time exponential splitting technique for the Klein-Gordon equation with Hagstrom-Warburton high-order absorbing boundary conditions
- High-order local non-reflecting boundary conditions: a review
- Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
- Long-time simulations of nonlinear Schrödinger-type equations using step size exceeding threshold of numerical instability
- Stability analysis of the numerical method of characteristics applied to a class of energy-preserving hyperbolic systems. II: Nonreflecting boundary conditions
- Numerical solution of the nonlinear Klein-Gordon equation
- Dispersion, group velocity, and multisymplectic discretizations
- Time-Dependent Problems and Difference Methods
- On Spectral Stability of Solitary Waves of Nonlinear Dirac Equation in 1D
- Numerical Methods Based on Additive Splittings for Hyperbolic Partial Differential Equations
- The Eigenvalues of Second-Order Spectral Differentiation Matrices
- Simple Harmonic Generation: an Exact Method of Solution
- Numerically Nonreflecting Boundary and Interface Conditions for Compressible Flow and Aeroacoustic Computations
- Numerical schemes for general Klein–Gordon equations with Dirichlet and nonlocal boundary conditions
- Block-Diagonalization of the Symmetric First-Order Coupled-Mode System
- Stability of some numerical schemes of the three-dimensional method of characteristics
- Numerical Methods for Ordinary Differential Equations
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