Found 50 Documents (Results 1–50)
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)
A high-order linearly implicit energy-preserving partitioned Runge-Kutta scheme for a class of nonlinear dispersive equations. (English) Zbl 1531.65094
MSC:
65L06
Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation based on the quadratic auxiliary variable approach. (English) Zbl 1524.65650
Local structure-preserving algorithms for the Klein-Gordon-Zakharov equation. (English) Zbl 1515.65313
Linearly implicit invariant-preserving decoupled difference scheme for the rotation-two-component Camassa-Holm system. (English) Zbl 1492.65248
Linearly implicit local energy-preserving algorithm for a class of multi-symplectic Hamiltonian PDEs. (English) Zbl 1499.37123
The exponential invariant energy quadratization approach for general multi-symplectic Hamiltonian PDEs. (English) Zbl 1480.65365
A numerical study of variational discretizations of the Camassa-Holm equation. (English) Zbl 1477.35212
A fast solver of Legendre-Laguerre spectral element method for the Camassa-Holm equation. (English) Zbl 1484.65278
On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: energy conservation and multi-symplecticity. (English) Zbl 07507226
Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs. (English) Zbl 1453.65437
Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation. (English) Zbl 1439.37079
Local structure-preserving algorithms for general multi-symplectic Hamiltonian PDEs. (English) Zbl 07682901
Multi-symplectic quasi-interpolation method for Hamiltonian partial differential equations. (English) Zbl 1452.65397
Linear and Hamiltonian-conserving Fourier pseudo-spectral schemes for the Camassa-Holm equation. (English) Zbl 1429.65241
Exponential integrators preserving local conservation laws of PDEs with time-dependent damping/driving forces. (English) Zbl 1410.65298
The design of conservative finite element discretisations for the vectorial modified KdV equation. (English) Zbl 1412.65143
New variational and multisymplectic formulations of the Euler-Poincaré equation on the Virasoro-Bott group using the inverse map. (English) Zbl 1402.35247
Discrete variational derivative method – a structure-preserving numerical method for partial differential equations. (English. Japanese original) Zbl 1407.65248
Sugaku Expo. 31, No. 2, 231-255 (2018); translation from Sūgaku 66, No. 2, 135-156 (2014).
Reviewer: Srinivasan Natesan (Assam)
Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs. (English) Zbl 1390.65104
Geometric numerical integrators for Hunter-Saxton-like equations. (English) Zbl 1379.37140
Reviewer: Vasile Marinca (Timişoara)
Numerical study of long-time Camassa-Holm solution behavior for soliton transport. (English) Zbl 1540.35361
Development of a numerical phase optimized upwinding combined compact difference scheme for solving the Camassa-Holm equation with different initial solitary waves. (English) Zbl 1331.65132
A multi-symplectic numerical integrator for the two-component Camassa-Holm Equation. (English) Zbl 1420.35289
High order central discontinuous Galerkin-finite element methods for the Camassa-Holm equation. (English) Zbl 1364.65199
Multi-symplectic method for peakon-antipeakon collision of quasi-Degasperis-Procesi equation. (English) Zbl 1352.65648
Energy-preserving \(H^1\)-Galerkin schemes for shallow water wave equations with peakon solutions. (English) Zbl 1266.65168
Convergent numerical schemes for the compressible hyperelastic rod wave equation. (English) Zbl 1323.65093
Numerical integration of the Ostrovsky equation based on its geometric structures. (English) Zbl 1426.76479
Geometric integration of the paraxial equation. (English) Zbl 1247.65155
Reviewer: Manuel Calvo (Zaragoza)
The multi-symplectic Fourier pseudospectral method for solving two-dimensional Hamiltonian PDEs. (English) Zbl 1231.65173
Invariants-preserving integration of the modified Camassa-Holm equation. (English) Zbl 1231.65144
Reviewer: Rémi Vaillancourt (Ottawa)
On the development of a high-order compact scheme for exhibiting the switching and dissipative solution natures in the Camassa-Holm equation. (English) Zbl 1419.76484
Multi-symplectic wavelet collocation method for the nonlinear Schrödinger equation and the Camassa-Holm equation. (English) Zbl 1217.65235
Geometric finite difference schemes for the generalized hyperelastic-rod wave equation. (English) Zbl 1350.74026
Differential transform method for solving solitary wave with discontinuity. (English) Zbl 1238.35124
A Hamiltonian-conserving Galerkin scheme for the Camassa-Holm equation. (English) Zbl 1203.65185
Reviewer: Pavel Burda (Praha)
A dispersion-relation-preserving algorithm for a nonlinear shallow-water wave equation. (English) Zbl 1391.76532
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