A new absorbing layer approach for solving the nonlinear Schrödinger equation (Q6106956)

scientific article; zbMATH DE number 7705792

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English	A new absorbing layer approach for solving the nonlinear Schrödinger equation	scientific article; zbMATH DE number 7705792

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instance of

scholarly article

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title

A new absorbing layer approach for solving the nonlinear Schrödinger equation (English)

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Applied Numerical Mathematics

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publication date

3 July 2023

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zbMATH Keywords

nonlinear Schrödinger equation

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interface

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finite difference scheme

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stability

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convergence

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.apnum.2023.04.003

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cites work

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Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation.

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Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation

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Gradient preserved method for solving heat conduction equation with variable coefficients in double layers

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A Modulus-Squared Dirichlet Boundary Condition for Time-Dependent Complex Partial Differential Equations and Its Application to the Nonlinear Schrödinger Equation

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A new absorbing layer for simulation of wave propagation based on a KdV model on unbounded domain

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Efficient semi-implicit compact finite difference scheme for nonlinear Schrödinger equations on unbounded domain

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Convergence analysis of the immersed interface method

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The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources

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Maximum Principle Preserving Schemes for Interface Problems with Discontinuous Coefficients

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Convergence of the ghost fluid method for elliptic equations with interfaces

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A boundary condition capturing method for Poisson's equation on irregular domains

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Numerical analysis of blood flow in the heart

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Q5697068

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Open boundaries for the nonlinear Schrödinger equation

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Strong coupling of Schrödinger equations: conservative scheme approach

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The nonlinear Schrödinger equation. Self-focusing and wave collapse

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A second-order finite difference scheme for solving the dual-phase-lagging equation in a double-layered nanoscale thin film

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The stability and convergence of a difference scheme for the Schrödinger equation on an infinite domain by using artificial boundary conditions

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Absorbing boundary conditions for nonlinear scalar partial differential equations

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Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation

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Fourth-order compact and energy conservative difference schemes for the nonlinear Schrödinger equation in two dimensions

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On the fictitious-domain and interpolation formulations of the matched interface and boundary (MIB) method

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The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions

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Generalized finite-difference time-domain method with absorbing boundary conditions for solving the nonlinear Schrödinger equation on a GPU

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A New Artificial Neural Network Method for Solving Schrödinger Equations on Unbounded Domains

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Adaptive absorbing boundary conditions for Schrödinger-type equations: Application to nonlinear and multi-dimensional problems

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Accurate gradient preserved method for solving heat conduction equations in double layers

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Analysis of High-Order Absorbing Boundary Conditions for the Schrödinger Equation

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High-order FDTD methods via derivative matching for Maxwell's equations with material interfaces

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Exact nonreflecting boundary conditions for one-dimensional cubic nonlinear Schrödinger equations

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A perfectly matched layer approach to the nonlinear Schrödinger wave equations

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High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources

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Identifiers

DOI

10.1016/j.apnum.2023.04.003

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6106956