A Deuflhard-type exponential integrator Fourier pseudo-spectral method for the ``good Boussinesq equation
DOI10.1007/s10915-020-01192-2zbMath1448.35456arXiv1910.03267OpenAlexW3012117607WikidataQ115603782 ScholiaQ115603782MaRDI QIDQ2307424
Publication date: 27 March 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.03267
KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for discrete and fast Fourier transforms (65T50) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items (6)
Cites Work
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- New energy-preserving schemes using Hamiltonian boundary value and Fourier pseudospectral methods for the numerical solution of the ``good Boussinesq equation
- Improved local well-posedness for the periodic ``good Boussinesq equation
- A meshless based numerical technique for traveling solitary wave solution of Boussinesq equation
- Local well-posedness for quadratic nonlinear Schrödinger equations and the ``good Boussinesq equation.
- A Hamiltonian, explicit algorithm with spectral accuracy for the `good' Boussinesq system
- Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
- A study of extrapolation methods based on multistep schemes without parasitic solutions
- On the operator splitting and integral equation preconditioned deferred correction methods for the ``good Boussinesq equation
- A fourth order finite difference method for the good Boussinesq equation
- Nonlinear stability and convergence of finite-difference methods for the good Boussinesq equation
- Numerical investigation for the solitary waves interaction of the good Boussinesq equation.
- Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation
- Sharp local well-posedness for the ``good Boussinesq equation
- Efficient numerical algorithms for the solution of ``good Boussinesq equation in water wave propagation
- Two exponential-type integrators for the ``good Boussinesq equation
- A second order operator splitting numerical scheme for the ``good Boussinesq equation
- A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method
- Local structure-preserving algorithms for the ``good Boussinesq equation
- A second order numerical scheme for the solution of the one-dimensional Boussinesq equation
- An exponential integrator sine pseudospectral method for the generalized improved Boussinesq equation
- On error estimates of an exponential wave integrator sine pseudospectral method for the Klein-Gordon-Zakharov system
- Long Time Stability of a Classical Efficient Scheme for Two-dimensional Navier–Stokes Equations
- Exponential integrators
- Numerical Solutions of the Good Boussinesq Equation
- On the periodic “good” Boussinesq equation
- Local Solutions in Sobolev Spaces with Negative Indices for the “Good” Boussinesq Equation
- Soliton and antisoliton interactions in the ‘‘good’’ Boussinesq equation
- Pseudospectral Method for the "Good" Boussinesq Equation
- A model for the two-way propagation of water waves in a channel
- Efficient structure‐preserving schemes for good Boussinesq equation
- Existance and Uniqueness for Boussinesq type equations on a circle
- A <scp>Fourier</scp> pseudospectral method for the “good” <scp>Boussinesq</scp> equation with second‐order temporal accuracy
- Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations
- Eigenfunction expansion method and the long-time asymptotics for the damped Boussinesq equation
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