Iterative Methods for Solving the Schrödinger Equation on a Rectangular Scattering Region

Bachelor thesis (2014)

Authors

Contributors

N.V. Budko (mentor)
A.R. Akhmerov (mentor)
M.T. Wimmer (mentor)
Programme
Bachelor Technische Wiskunde (EEMCS) (TU Delft)
Copyright: © 2014 Markensteijn, A.
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Published Date

16-05-2014

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Programme

Bachelor Technische Wiskunde

Abstract

Four iterative methods were used to solve the schrödinger equation on a rectangular scattering region with a uniform potential, namely GMRES, restarted GMRES, BiCGStab and IDR(s). A preconditioner like a shifted-Laplacian is tried to improve the convergence behaviour of GMRES. Finally, a disorded potential is introduced in the form of a random diagonal matrix to see the effects of disorder on the convergence behaviour of the iterative methods.