Two classes of efficient and robust schemes are proposed for the general multi-symplectic
Hamiltonian systems using the invariant energy quadratization (IEQ) approach. The …

Two conservative differences schemes for the nonlinear dispersive Benjamin–Bona–
Mahony–KdV (BBM-KdV) equation are proposed. The first scheme is two-level and …

Continental magmatic arcs are characterized by the accretion of voluminous mantle-derived
magmatic rocks and the growth of juvenile crust. However, significant volumes of meta …

We develop two classes of general-purpose second-order integrators for the general multi-
symplectic Hamiltonian system by incorporating a scalar auxiliary variable. Unlike the …

In this paper, a new finite difference method for initial-boundary value problem of
Regularized Long Wave (RLW) equation is considered. Two energy conservative finite …

Many PDEs can be recast into the general multi-symplectic formulation possessing three
local conservation laws. We devote the present paper to some systematic methods, which …

We consider an initial boundary‐value problem for the generalized Benjamin–Bona–
Mahony equation. A three‐level conservative difference schemes are studied. The obtained …

We consider an initial boundary-value problem for the regularized long-wave equation. A
three level one-parameter family of conservative difference schemes is studied. Two level …

Two implicit and two explicit schemes preserving the local momentum conservation laws
exactly on any time–space region are proposed for the regularized long-wave equation …

In this paper, two novel linear‐implicit and momentum‐preserving Fourier pseudo‐spectral
schemes are proposed and analyzed for the regularized long‐wave equation. The …