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

Presented by: 
Sergio Blanes Universidad Politécnica de Valencia
Date: 
Monday 11th November 2019 - 16:00 to 17:00
Venue: 
INI Seminar Room 2
Abstract: 
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.


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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons