Nth-Order Operator Splitting Schemes and Nonreversible Systems
D Goldman, TJ Kaper - SIAM journal on numerical analysis, 1996 - SIAM
This paper is concerned with partitioned N th-order accurate split-operator schemes built
using M distinct solution operators for semidiscrete equations of the form …
using M distinct solution operators for semidiscrete equations of the form …
[HTML][HTML] Recent advances in the numerical solution of the Nonlinear Schrödinger Equation
In this review we collect some recent achievements in the accurate and efficient solution of
the Nonlinear Schrödinger Equation (NLSE), with the preservation of its Hamiltonian …
the Nonlinear Schrödinger Equation (NLSE), with the preservation of its Hamiltonian …
Geometric integrators for the nonlinear Schrödinger equation
AL Islas, DA Karpeev, CM Schober - Journal of computational physics, 2001 - Elsevier
Recently an interesting new class of PDE integrators, multisymplectic schemes, has been
introduced for solving systems possessing a certain multisymplectic structure. Some of the …
introduced for solving systems possessing a certain multisymplectic structure. Some of the …
Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients
Based on the multi-symplecticity of the Schrödinger equations with variable coefficients, we
give a multi-symplectic numerical scheme, and investigate some conservative properties …
give a multi-symplectic numerical scheme, and investigate some conservative properties …
Symplectic wavelet collocation method for Hamiltonian wave equations
This paper introduces a novel symplectic wavelet collocation method for solving nonlinear
Hamiltonian wave equations. Based on the autocorrelation functions of Daubechies …
Hamiltonian wave equations. Based on the autocorrelation functions of Daubechies …
Multi-symplectic wavelet collocation method for the nonlinear Schrödinger equation and the Camassa–Holm equation
H Zhu, S Song, Y Tang - Computer Physics Communications, 2011 - Elsevier
In this paper, we develop a novel multi-symplectic wavelet collocation method for solving
multi-symplectic Hamiltonian system with periodic boundary conditions. Based on the …
multi-symplectic Hamiltonian system with periodic boundary conditions. Based on the …
Symplectic and multi-symplectic methods for coupled nonlinear Schrödinger equations with periodic solutions
A Aydın, B Karasözen - Computer Physics Communications, 2007 - Elsevier
We consider for the integration of coupled nonlinear Schrödinger equations with periodic
plane wave solutions a splitting method from the class of symplectic integrators and the multi …
plane wave solutions a splitting method from the class of symplectic integrators and the multi …
Numerical methods for the simulation of trapped nonlinear Schrödinger systems
VM Pérez-Garcı́a, X Liu - Applied Mathematics and Computation, 2003 - Elsevier
We propose, analyze and compare the efficiency and accuracy of different numerical
schemes for the solution of the nonlinear Schrödinger equation with a trapping potential. In …
schemes for the solution of the nonlinear Schrödinger equation with a trapping potential. In …
Finite-difference approximations and cosymmetry conservation in filtration convection problem
B Karasözen, VG Tsybulin - Physics Letters A, 1999 - Elsevier
We consider finite-difference approximations of the planar Darcy convection problem and
study the effect of different discretizations with respect to preservation of cosymmetry. The …
study the effect of different discretizations with respect to preservation of cosymmetry. The …
Integrable nonlinear Schrödinger system on a triangular-lattice ribbon
OO Vakhnenko - Journal of the Physical Society of Japan, 2015 - journals.jps.jp
An integrable nonlinear Schrödinger system on a triangular-lattice ribbon, whose geometric
configuration is similar to that of armchair boron nanotube, is studied in detail. The system …
configuration is similar to that of armchair boron nanotube, is studied in detail. The system …