A Linearly Implicit Structure-Preserving Scheme for the Camassa–Holm Equation Based on Multiple Scalar Auxiliary Variables Approach

Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation

(2020) Chaolong Jiang et al.   APPLIED NUMERICAL MATHEMATICS

Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions

(2019) Wenjun Cai et al.   JOURNAL OF COMPUTATIONAL PHYSICS

The scalar auxiliary variable (SAV) approach for gradient flows

(2018) Jie Shen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities

(2018) Yuezheng Gong et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method

(2017) Xiaofeng Yang et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An Energy-Preserving Wavelet Collocation Method for General Multi-Symplectic Formulations of Hamiltonian PDEs

(2016) Yuezheng Gong et al.   Communications in Computational Physics

Multi-Symplectic Fourier Pseudospectral Method for the Kawahara Equation

(2016) Yuezheng Gong et al.   Communications in Computational Physics

Energy-preserving -Galerkin schemes for shallow water wave equations with peakon solutions

(2012) Yuto Miyatake et al.   PHYSICS LETTERS A

A General Framework for Deriving Integral Preserving Numerical Methods for PDEs

(2011) Morten Dahlby et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Multi-symplectic wavelet collocation method for the nonlinear Schrödinger equation and the Camassa–Holm equation

(2010) Huajun Zhu et al.   COMPUTER PHYSICS COMMUNICATIONS

Geometric finite difference schemes for the generalized hyperelastic-rod wave equation

(2010) David Cohen et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

An energy-conserving Galerkin scheme for a class of nonlinear dispersive equations

(2009) Takayasu Matsuo et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A Local Discontinuous Galerkin Method for the Camassa–Holm Equation

(2008) Yan Xu et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS