Variational discretizations for the generalized Rosenau-type equations
From MaRDI portal
Publication:1732251
DOI10.1016/j.amc.2015.09.060zbMath1410.65302OpenAlexW2177429649MaRDI QIDQ1732251
Wenjun Cai, Yu Shun Wang, Ya-Juan Sun
Publication date: 22 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.09.060
Lagrangian densityvariational integratormultisymplectic formulationlocal conservation lawsolitons collision
KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
Related Items (12)
The two-grid interpolating element free Galerkin (TG-IEFG) method for solving Rosenau-regularized long wave (RRLW) equation with error analysis ⋮ A novel linearized and momentum‐preserving Fourier pseudo‐spectral scheme for the <scp>Rosenau‐Korteweg</scp> de Vries equation ⋮ A two-grid spectral method to study of dynamics of dense discrete systems governed by Rosenau-Burgers' equation ⋮ Arbitrary High-Order Structure-Preserving Schemes for Generalized Rosenau-Type Equations ⋮ A new algorithm for analysis and simulation of (2+1) Korteweg-de Vries-Rosenau-regularized long-wave model ⋮ Analysis and simulation of Korteweg-de Vries-Rosenau-regularised long-wave model via Galerkin finite element method ⋮ A new conservative finite difference scheme for the generalized Rosenau-KdV-RLW equation ⋮ Efficient high-order structure-preserving methods for the generalized Rosenau-type equation with power law nonlinearity ⋮ A new implicit energy conservative difference scheme with fourth-order accuracy for the generalized Rosenau-Kawahara-RLW equation ⋮ Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs ⋮ Numerical analysis of a new conservative scheme for the 2D generalized Rosenau-RLW equation ⋮ The interpolating element-free Galerkin method for solving Korteweg-de Vries-Rosenau-regularized long-wave equation with error analysis
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new conservative difference scheme for the general Rosenau-RLW equation
- On the convergence of a conservative numerical scheme for the usual Rosenau-RLW equation
- A discontinuous Galerkin method for the Rosenau equation
- Geometric discretization of nonholonomic systems with symmetries
- Multisymplectic geometry, variational integrators, and nonlinear PDEs
- An average linear difference scheme for the generalized Rosenau-KdV equation
- Conservative linear difference scheme for Rosenau-KdV equation
- Numerical simulation for general rosenau-RLW equation: an average linearized conservative scheme
- Discrete mechanics and optimal control: An analysis
- Nonintrusive and Structure Preserving Multiscale Integration of Stiff ODEs, SDEs, and Hamiltonian Systems with Hidden Slow Dynamics via Flow Averaging
- A multisymplectic variational integrator for the nonlinear Schrödinger equation
- Discrete mechanics and variational integrators
- Invariant variation problems
- Multisymplectic geometry and multisymplectic Preissmann scheme for the KdV equation
- Variational integrators for constrained dynamical systems
- Long waves on a beach
- Model equations for long waves in nonlinear dispersive systems
- A variational approach to second-order multisymplectic field theory
- Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
This page was built for publication: Variational discretizations for the generalized Rosenau-type equations
