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

By Anton Arnold, Matthias Ehrhardt, I. Sofronov. 2003

188 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/3b340e27123078fc31cb1515fe60d409aaeaa6ff

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Matthias Ehrhardt
2. Ronald E. Mickens
3. Anton Arnold

In Electrical and Electronic Engineering

1. Matthias Ehrhardt
2. Ronald E. Mickens
3. Anton Arnold

In Numerical Analysis

1. Ronald E. Mickens
2. Matthias Ehrhardt
3. Qamar Din

Citations in the corpus

• A Review of Transparent and Artificial Boundary Conditions Techniques for Linear and Nonlinear Schr�dinger Equations (2008, background): “2 the authors in [18] consider the analogous situation for a regular Crank-Nicolson, 5-point finite difference scheme in the exterior domain.”
• A FAST, STABLE AND ACCURATE NUMERICAL METHOD FOR THE BLACK–SCHOLES EQUATION OF AMERICAN OPTIONS (2008, methodology): “As a remedy we construct an approximate discrete TBC with a kernel having the form of a finite sum-ofexponentials [5], which can be evaluated by a very efficient recursion formula.”