Analysis of the Schwarz Waveform Relaxation Domain Decomposition Method for the Linear Schrödinger Equation

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  • The goal of this thesis is to analyze the convergence and the rate of the convergence of the Classical and Optimal Schwarz Waveform Relaxation domain decomposition methods for the Schr\"odinger equation. The analysis is derived from the asymptotic symbolic expansions of inhomogeneous symbols of pseudo-differential operators associated to the linear Schr\"odinger equations

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  • Copyright © 2016 the author(s). Theses may be used for non-commercial research, educational, or related academic purposes only. Such uses include personal study, research, scholarship, and teaching. Theses may only be shared by linking to Carleton University Institutional Repository and no part may be used without proper attribution to the author. No part may be used for commercial purposes directly or indirectly via a for-profit platform; no adaptation or derivative works are permitted without consent from the copyright owner.

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  • 2016

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