Implementation of transparent boundaries for numerical solution of the Schröder equation.

DOI10.1016/0165-2125(91)90053-QzbMath1159.78349OpenAlexW2036992419MaRDI QIDQ5960655

No author found.

Publication date: 15 April 2002

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(91)90053-q

Mathematics Subject Classification ID

Related Items (65)

Multidomain spectral method for Schrödinger equations ⋮ A fast second-order discretization scheme for the linearized Green-Naghdi system with absorbing boundary conditions ⋮ Wave-heat coupling in one-dimensional unbounded domains: artificial boundary conditions and an optimized Schwarz method ⋮ Transparent boundary conditions for iterative high-order parabolic equations ⋮ Almost exact boundary conditions for transient Schrödinger-Poisson system ⋮ Numerical solution to coupled nonlinear Schrödinger equations on unbounded domains ⋮ Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions ⋮ Non-reflecting boundary conditions for the two-dimensional Schrödinger equation ⋮ Discrete transparent boundary conditions for Schrödinger-type equations ⋮ Numerical simulation of a modified KdV equation on the whole real axis ⋮ Local artificial boundary conditions for Schrödinger and heat equations by using high-order azimuth derivatives on circular artificial boundary ⋮ A fast stable accurate artificial boundary condition for the linearized Green-Naghdi system ⋮ A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in \((1+1)\)D ⋮ Microlocal approach towards construction of nonreflecting boundary conditions ⋮ Exact boundary condition for semi-discretized Schrödinger equation and heat equation in a rectangular domain ⋮ Discrete non-local boundary conditions for split-step Padé approximations of the one-way Helmholtz equation ⋮ Fast evaluation of exact transparent boundary condition for one-dimensional cubic nonlinear Schrödinger equation ⋮ Domain decomposition method and high-order absorbing boundary conditions for the numerical simulation of the time dependent Schrödinger equation with ionization and recombination by intense electric field ⋮ Exact transparent boundary conditions for the parabolic wave equations with linear and quadratic potentials ⋮ An explicit spectral collocation method for the linearized Korteweg-de Vries equation on unbounded domain ⋮ A fast BDF2 Galerkin finite element method for the one-dimensional time-dependent Schrödinger equation with artificial boundary conditions ⋮ Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation. ⋮ A fast accurate artificial boundary condition for the Euler-Bernoulli beam ⋮ Computation of paraxial wave fields using transparent boundary conditions ⋮ Green Function Method for Quantum Transport Based on the Generalized Fourier Transform ⋮ Accurate artificial boundary conditions for the semi-discretized linear Schrödinger and heat equations on rectangular domains ⋮ Transparent boundaries for the parabolic wave equation ⋮ An explicit spectral collocation method using nonpolynomial basis functions for the time‐dependent Schrödinger equation ⋮ EFFICIENT SIMULATION ALGORITHM FOR THE FULL VECTORIAL WAVE PROPAGATION IN THE POLARISATION DEPENDENT STRUCTURES OF INTEGRATED OPTICS ⋮ Boundary treatments in non-equilibrium Green's function (NEGF) methods for quantum transport in nano-MOSFETs ⋮ Analytic discrete transparent boundary conditions for high-order Padé parabolic equations ⋮ Analysis of finite element method for one-dimensional time-dependent Schrödinger equation on unbounded domain ⋮ A perfectly matched layer approach to the nonlinear Schrödinger wave equations ⋮ The finite difference scheme for nonlinear Schrödinger equations on unbounded domain by artificial boundary conditions ⋮ Perfectly matched absorbing layers for the paraxial equations ⋮ Discrete artificial boundary conditions for nonlinear Schrödinger equations ⋮ Convergence of a finite element scheme for the two-dimensional time-dependent Schrödinger equation in a long strip ⋮ Accurate boundary treatment for transient Schrödinger equation under polar coordinates ⋮ Artificial boundary conditions for certain evolution PDEs with cubic nonlinearity for non-compactly supported initial data ⋮ A comparison of transparent boundary conditions for the Fresnel equation ⋮ Fast evaluation of nonreflecting boundary conditions for the Schrödinger equation in one dimension ⋮ The stability and convergence of a difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions ⋮ Multiscale simulation of transport in an open quantum system: Resonances and WKB interpolation ⋮ Fast and stable evaluation of the exact absorbing boundary condition for the semi-discrete linear Schrödinger equation in unbounded domains ⋮ Exact nonreflecting boundary conditions for one-dimensional cubic nonlinear Schrödinger equations ⋮ MATHEMATICAL CONCEPTS OF OPEN QUANTUM BOUNDARY CONDITIONS ⋮ Non-local boundary conditions for high-order parabolic equation algorithms. ⋮ Absorbing boundary conditions on a hypersurface for the Schrödinger equation in a half-space ⋮ Discrete absorbing boundary conditions for Schrödinger-type equations. Practical implementation ⋮ Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain ⋮ Discrete transparent boundary conditions for the two-dimensional leap-frog scheme: approximation and fast implementation ⋮ Stability of a symmetric finite-difference scheme with approximate transparent boundary conditions for the time-dependent Schrödinger equation ⋮ ON AN OPEN TRANSIENT SCHRÖDINGER–POISSON SYSTEM ⋮ Transparent boundary conditions for quantum-waveguide simulations ⋮ Discrete transparent boundary conditions for the numerical solution of Fresnel's equation ⋮ Fast Evaluation of Artificial Boundary Conditions for Advection Diffusion Equations ⋮ Discrete transparent boundary conditions for wide angle parabolic equations in underwater acoustics ⋮ Numerical simulations of parity-time symmetric nonlinear Schrödinger equations in critical case ⋮ Krylov subspace spectral methods for the time-dependent Schrödinger equation with non-smooth potentials ⋮ Optimal Error Estimates in Numerical Solution of Time Fractional Schrödinger Equations on Unbounded Domains ⋮ Numerical Algorithms for Schrödinger Equation with Artificial Boundary Conditions ⋮ ON THE ACCURACY OF SOME ABSORBING BOUNDARY CONDITIONS FOR THE SCHRODINGER EQUATION ⋮ On Mayfield's stability proof for the discretized transparent boundary condition for the parabolic equation ⋮ Construction, structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation. ⋮ A finite-difference method for the one-dimensional time-dependent Schrödinger equation on unbounded domain

Cites Work

• Unnamed Item
• Unnamed Item

This page was built for publication: Implementation of transparent boundaries for numerical solution of the Schröder equation.