Several Numerical Simulation Methods for the Time-Dependent Schrödinger Equation

Cites Work

Unnamed Item
A finite-difference method for solving the cubic Schrödinger equation
A variable step method for the numerical integration of the one- dimensional Schrödinger equation
A new variable step method for the numerical integration of the one- dimensional Schrödinger equation
High strain Lagrangian hydrodynamics. A three-dimensional SPH code for dynamic material response
Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres.
An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems
On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
Space-time localized radial basis function collocation method for solving parabolic and hyperbolic equations
Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
Polynomial particular solutions for solving elliptic partial differential equations
Hybrid method of space-time and Houbolt methods for solving linear time-dependent problems
Numerical soliton solutions of fractional Newell-Whitehead-Segel equation in binary fluid mixtures
Galerkin finite element method for damped nonlinear Schrödinger equation
The parameter \(R^ 2\) in multiquadric interpolation
Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems
A numerical method for two-dimensional Schrödinger equation using collocation and radial basis functions
On some properties of the generalized gradient method
A Computational Architecture for Coupling Heterogeneous Numerical Models and Computing Coupled Derivatives
On the finite-differences schemes for the numerical solution of two dimensional Schrödinger equation
Numerical Solution to the Space-Time Fractional Diffusion Equation and Inversion for the Space-Dependent Diffusion Coefficient
Coupling of Gaussian Beam and Finite Difference Solvers for Semiclassical Schrödinger Equations
Numerical solution of fractional <scp>Dullin–Gottwald–Holm</scp> equation for solitary shallow water waves
A localized meshfree technique for solving fractional Benjamin-Ono equation describing long internal waves in deep stratified fluids

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