Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707772 | Applied Mathematics Letters | 2015 | 5 Pages |
Abstract
Mayfield's numerical implementation of transparent boundary condition for the Schrödinger-type parabolic equations is revisited. An inaccuracy in the original proof of the conditional stability for the resulting scheme is pointed out. The highly unusual and impressive original result is reestablished and a new proof is presented. Some further remarks and estimates on the instability which occurs when the Mayfield condition is violated are given.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
P.S. Petrov, M. Ehrhardt,