scientific article; zbMATH DE number 7409362
zbMath1488.65369MaRDI QIDQ5155915
Dong Liang, Chunguang Chen, Shu-Sen Xie
Publication date: 13 October 2021
Full work available at URL: http://www.math.ualberta.ca/ijnam/Volume-17-2020/No-4-20/2020-04-05.pdf
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fourier pseudospectral methodenergy preservingtime high-ordernonlocal Benjamin-Ono equationHamiltonian boundary value method (HBVM)
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical chaos (65P20) Soliton solutions (35C08)
Uses Software
Cites Work
- Unnamed Item
- A new high-order energy-preserving scheme for the modified Korteweg-de Vries equation
- Energy conservation issues in the numerical solution of the semilinear wave equation
- Nonlocal models for nonlinear, dispersive waves
- A numerical method for the Benjamin-Ono equation
- Energy-conserving Hamiltonian boundary value methods for the numerical solution of the Korteweg-de Vries equation
- On generalized Benjamin type equations
- Comparison of three spectral methods for the Benjamin-Ono equation: Fourier pseudospectral, rational Christov functions and Gaussian radial basis functions
- Energy-conserving methods for the nonlinear Schrödinger equation
- Analysis of Hamiltonian boundary value methods (HBVMs): A class of energy-preserving Runge-Kutta methods for the numerical solution of polynomial Hamiltonian systems
- Algebraic Solitary Waves in Stratified Fluids
- Line Integral Methods for Conservative Problems
- Hamiltonian Boundary Value Methods (Energy Conserving Discrete Line Integral Methods)
- Properties of the Benjamin–Ono equation
- Internal waves of permanent form in fluids of great depth
This page was built for publication:
