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High Order Scheme for Schrödinger Equation with Discontinuous Potential I: Immersed Interface Method
Published online by Cambridge University Press: 28 May 2015
Abstract
The immersed interface method is modified to compute Schrödinger equation with discontinuous potential. By building the jump conditions of the solution into the finite difference approximation near the interface, this method can give at least second order convergence rate for the numerical solution on uniform cartesian grids. The accuracy of this algorithm is tested via several numerical examples.
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- Research Article
- Information
- Numerical Mathematics: Theory, Methods and Applications , Volume 4 , Issue 4 , November 2011 , pp. 576 - 597
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- Copyright © Global Science Press Limited 2011