Improved uniform error bounds on a Lawson-type exponential integrator for the long-time dynamics of sine-Gordon equation
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Publication:6586803
DOI10.1007/S00211-024-01423-WMaRDI QIDQ6586803
Publication date: 13 August 2024
Published in: Numerische Mathematik (Search for Journal in Brave)
Cites Work
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- Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime
- Two energy conserving numerical schemes for the sine-Gordon equation
- Two classes of finite-difference methods for generalized sine-Gordon equations
- Long-time existence for semi-linear Klein-Gordon equations on tori
- High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods
- Numerical simulation of quasi-periodic solutions of the sine-Gordon equation
- Numerical solution of the sine-Gordon equation
- Finite element approximation to two-dimensional sine-Gordon solitons
- A study of extrapolation methods based on multistep schemes without parasitic solutions
- Fourier collocation method for solving nonlinear Klein-Gordon equation
- A numerical solution of the sine-Gordon equation using the modified decomposition method
- Numerical simulation of two-dimensional sine-Gordon solitons via a split cosine scheme
- A decomposition method for solving the nonlinear Klein-Gordon equation
- Modeling light bullets with the two-dimensional sine-Gordon equation
- A Deuflhard-type exponential integrator Fourier pseudo-spectral method for the ``good Boussinesq equation
- Asymptotic preserving schemes for the Klein-Gordon equation in the non-relativistic limit regime
- Nonlinear variants of the improved Boussinesq equation with compact and noncompact struc\-tures
- Spectral Methods
- Product Approximation for Nonlinear Klein-Gordon Equations
- Breather and soliton wave families for the sine–Gordon equation
- Sympletic Finite Difference Approximations of the Nonlinear Klein--Gordon Equation
- Uniformly accurate exponential-type integrators for Klein-Gordon equations with asymptotic convergence to the classical NLS splitting
- Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
- Uniform Error Bounds of an Exponential Wave Integrator for the Long-Time Dynamics of the Nonlinear Klein--Gordon Equation
- Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity
- Improved Uniform Error Bounds on Time-Splitting Methods for the Long-Time Dynamics of the Dirac Equation with Small Potentials
- Improved Uniform Error Bounds on Time-Splitting Methods for Long-Time Dynamics of the Nonlinear Klein--Gordon Equation with Weak Nonlinearity
- Long Time Error Analysis of Finite Difference Time Domain Methods for the Nonlinear Klein-Gordon Equation with Weak Nonlinearity
- A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Klein--Gordon Equation in the Nonrelativistic Limit Regime
- Exact solutions to the sine-Gordon equation
- On Time-Splitting Pseudospectral Discretization for Nonlinear Klein-Gordon Equation in Nonrelativistic Limit Regime
- A numerical method for one‐dimensional nonlinear Sine‐Gordon equation using collocation and radial basis functions
- Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants
- A Lawson-type exponential integrator for the Korteweg–de Vries equation
- Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation
Related Items (2)
Improved uniform error bounds for long-time dynamics of the high-dimensional nonlinear space fractional sine-Gordon equation with weak nonlinearity ⋮ Improved uniform error bounds on a Lawson-type exponential integrator method for long-time dynamics of the nonlinear double sine-Gordon equation
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