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Magnus, splitting and composition techniques for solving non-linear Schrödinger equations

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GCS - Geometry, compatibility and structure preservation in computational differential equations

In this talk I will consider several non-autonomous non-linear Schrödinger equations (the Gross-Pitaevskii equation, the Kohn-Sham equation and an Quantum Optimal Control equation) and some of the numerical methods that have been used to solve them.With a proper linearization of these equations we end up with non-autonomous linear systems where many of the algebraic techniques from Magnus, splitting and composition algorithms can be used. This will be an introductory talk to stimulate some collaboration between participants of the program at the INI .

This talk is part of the Isaac Newton Institute Seminar Series series.

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