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Introduction to numerics for nonlinear Schrödinger

[Moved Online] Introductory Workshop: Mathematical problems in fluid dynamics January 25, 2021 - February 05, 2021

February 05, 2021 (10:00 AM PST - 11:00 AM PST)
Speaker(s): Katharina Schratz (Sorbonne University)
Location: SLMath: Online/Virtual
Tags/Keywords
  • nonlinear Schr\"odinger

  • splitting methods

  • error analysis

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Introduction To Numerics For Nonlinear Schrödinger

Abstract

In my talk I will give an introduction to numerics for nonlinear Schrödinger equations. I will present the idea behind splitting methods which have the advantage of preserving the L^2 norm of the solution. I will also discuss how tools from the analysis of PDE (e.g., Strichartz and Bourgain space type estimates) can be used on the discrete level to obtain convergence estimates in low regularity spaces.

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Video/Audio Files

Introduction To Numerics For Nonlinear Schrödinger

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