Found 28 Documents (Results 1–28)
An efficient fourth-order structure-preserving scheme for the nonlocal Klein-Gordon-Schrödinger system. (English) Zbl 07863386
Mass and energy conservative high-order diagonally implicit Runge-Kutta schemes for nonlinear Schrödinger equation. (English) Zbl 07858937
A decoupled, linearly implicit and high-order structure-preserving scheme for Euler-Poincaré equations. (English) Zbl 1540.65291
Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa-Holm system with small energy. (English) Zbl 1531.65133
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Explicit high accuracy energy-preserving Lie-group sine pseudo-spectral methods for the coupled nonlinear Schrödinger equation. (English) Zbl 07763845
Novel high-order mass- and energy-conservative Runge-Kutta integrators for the regularized logarithmic Schrödinger equation. (English) Zbl 07814774
A high-order linearly implicit energy-preserving partitioned Runge-Kutta scheme for a class of nonlinear dispersive equations. (English) Zbl 1531.65094
MSC:
65L06
Mass-, and energy preserving schemes with arbitrarily high order for the Klein-Gordon-Schrödinger equations. (English) Zbl 1542.65127
Conservative compact difference scheme based on the scalar auxiliary variable method for the generalized Kawahara equation. (English) Zbl 1538.65239
Arbitrary high-order structure-preserving schemes for generalized Rosenau-type equations. (English) Zbl 1538.65418
Arbitrary high-order structure-preserving methods for the quantum Zakharov system. (English) Zbl 07773314
Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation based on the quadratic auxiliary variable approach. (English) Zbl 1524.65650
Efficient high-order physical property-preserving difference methods for nonlinear fourth-order wave equation with damping. (English) Zbl 1538.65285
Arbitrarily high-order energy-preserving schemes for the Zakharov-Rubenchik equations. (English) Zbl 1512.65187
Reviewer: Qifeng Zhang (Hangzhou)
A novel class of energy-preserving Runge-Kutta methods for the Korteweg-de Vries equation. (English) Zbl 1513.65402
High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation. (English) Zbl 1502.65162
Arbitrary high-order linear structure-preserving schemes for the regularized long-wave equation. (English) Zbl 1487.65166
Reviewer: Weizhong Dai (Ruston)
Linear high-order energy-preserving schemes for the nonlinear Schrödinger equation with wave operator using the scalar auxiliary variable approach. (English) Zbl 1480.35358
A family of effective structure-preserving schemes with second-order accuracy for the undamped sine-Gordon equation. (English) Zbl 1524.65409
High-order structure-preserving algorithms for the multi-dimensional fractional nonlinear Schrödinger equation based on the SAV approach. (English) Zbl 1540.65410
On the identification of nonlinear terms in the generalized Camassa-Holm equation involving dual-power law nonlinearities. (English) Zbl 1459.65153
Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations. (English) Zbl 1456.65090
Highly efficient invariant-conserving explicit Runge-Kutta schemes for nonlinear Hamiltonian differential equations. (English) Zbl 07506164
Novel high-order energy-preserving diagonally implicit Runge-Kutta schemes for nonlinear Hamiltonian ODEs. (English) Zbl 1524.65949
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