Stability and error analysis for a second-order approximation of 1D nonlocal Schrödinger equation under DtN-type boundary conditions (Q5029471)

scientific article; zbMATH DE number 7473343

Language	Label	Description	Also known as
English	Stability and error analysis for a second-order approximation of 1D nonlocal Schrödinger equation under DtN-type boundary conditions	scientific article; zbMATH DE number 7473343

Statements

instance of

scholarly article

0 references

title

Stability and error analysis for a second-order approximation of 1D nonlocal Schrödinger equation under DtN-type boundary conditions (English)

0 references

0 references

0 references

0 references

Mathematics of Computation

0 references

publication date

14 February 2022

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1090/mcom/3685

0 references

cites work

Q5268541

0 references

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

0 references

Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability

0 references

Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators

0 references

Determining a fractional Helmholtz equation with unknown source and scattering potential

0 references

Numerical methods for nonlocal and fractional models

0 references

The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator

0 references

Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints

0 references

Numerical Solution of a Two-Dimensional Nonlocal Wave Equation on Unbounded Domains

0 references

Nonlocal Wave Propagation in Unbounded Multi-Scale Media

0 references

On uniform second order nonlocal approximations to linear two-point boundary value problems

0 references

Artificial Boundary Method

0 references

Fast evaluation of nonreflecting boundary conditions for the Schrödinger equation in one dimension

0 references

Fractional quantum mechanics and Lévy path integrals

0 references

An Efficient Second-Order Finite Difference Method for the One-Dimensional Schrödinger Equation with Absorbing Boundary Conditions

0 references

Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions

0 references

The bond-based peridynamic system with Dirichlet-type volume constraint

0 references

Exact boundary condition for semi-discretized Schrödinger equation and heat equation in a rectangular domain

0 references

Q4303980

0 references

Reformulation of elasticity theory for discontinuities and long-range forces

0 references

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

0 references

Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations

0 references

Asymptotically Compatible Schemes and Applications to Robust Discretization of Nonlocal Models

0 references

Trace Theorems for some Nonlocal Function Spaces with Heterogeneous Localization

0 references

Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal Models

0 references

Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains

0 references

Numerical computations of nonlocal Schrödinger equations on the real line

0 references

Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain

0 references

Numerical Solution of the Nonlocal Diffusion Equation on the Real Line

0 references

Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions

0 references

Identifiers

DOI

10.1090/mcom/3685

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5029471