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Transparent Boundary Condition and its Effectively Local Approximationfor the Schr\"{O}Dinger Equation on a Rectangular Computational Domain

https://doi.org/10.2139/ssrn.4784496
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Spectral Methods: Algorithms, Analysis and Applications
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Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential
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Implementation of transparent boundaries for numerical solution of the Schrödinger equation
inferredcites →https://doi.org/10.1016/0893-9659(96)00051-1openalex-extracted
Absorbing boundary conditions on a hypersurface for the Schrödinger equation in a half-space
inferredcites →https://doi.org/10.1016/j.cnsns.2020.105406openalex-extracted
Perfectly matched layer for computing the dynamics of nonlinear Schrödinger equations by pseudospectral methods. Application to rotating Bose-Einstein condensates
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Accurate artificial boundary conditions for the semi-discretized linear Schrödinger and heat equations on rectangular domains
inferredcites →https://doi.org/10.1016/j.jcp.2007.08.004openalex-extracted
A perfectly matched layer approach to the nonlinear Schrödinger wave equations
inferredcites →https://doi.org/10.1016/j.jcp.2011.01.024openalex-extracted
Artificial boundary conditions for certain evolution PDEs with cubic nonlinearity for non-compactly supported initial data
inferredcites →https://doi.org/10.1016/j.jcp.2014.04.050openalex-extracted
Microlocal approach towards construction of nonreflecting boundary conditions
inferredcites →https://doi.org/10.1016/s0165-2125(01)00098-1openalex-extracted
Non-reflecting boundary conditions for the two-dimensional Schrödinger equation
inferredcites →https://doi.org/10.1063/1.5030875openalex-extracted
On the nonreflecting boundary operators for the general two dimensional Schrödinger equation
inferredcites →https://doi.org/10.1080/01630569708816790openalex-extracted
Transparent and absorbing boundary conditions for the schrödinger equation in a bounded domain
inferredcites →https://doi.org/10.1103/physreve.88.053308openalex-extracted
Exact transparent boundary condition for the three-dimensional Schrödinger equation in a rectangular cuboid computational domain
inferredcites →https://doi.org/10.1109/piers59004.2023.10221299openalex-extracted
Nonreflecting Boundary Condition for the Free Schrödinger Equation in 2D
inferredcites →https://doi.org/10.1137/0517050openalex-extracted
Discretized Fractional Calculus
inferredcites →https://doi.org/10.1137/0915089openalex-extracted
Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
inferredcites →https://doi.org/10.1142/s0218202512500261openalex-extracted
ABSORBING BOUNDARY CONDITIONS FOR THE TWO-DIMENSIONAL SCHRÖDINGER EQUATION WITH AN EXTERIOR POTENTIAL PART I: CONSTRUCTION AND A PRIORI ESTIMATES
inferredcites →https://doi.org/10.1364/josaa.28.000373openalex-extracted
Exact transparent boundary condition for the parabolic equation in a rectangular computational domain
inferredcites →https://doi.org/10.4310/cms.2004.v2.n1.a5openalex-extracted
Exact artificial boundary conditions for the Schrödinger equation in $R ^2$
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