High order scheme for Schrödinger equation with discontinuous potential I: immersed interfaced method
نویسنده
چکیده
The immersed interface method is modified to compute the Schrödinger equation with discontinuous potential. By building the jump condition of the solution into the finite difference approximation near the interface, this method could give at least second order convergence rate for the numerical solution on the uniform cartesian grid. The accuracy of this algorithm is tested via several numerical examples.
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تاریخ انتشار 2010