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DTSTAMP:20260911T231934Z
SUMMARY:Imperial-UCL Numerics Seminar – Early Career Seminar: Hugo Chu
DESCRIPTION:Solutions of differential equations in Freud-weighted Sobolev s
 paces\nWe lay some mathematically rigorous foundations for the resolution 
 of differential equations with respect to semi-classical bases and topolog
 ies\, namely Freud-Sobolev polynomials and spaces. In this quest\, we unco
 ver an elegant theory melding various topics in Numerical and Functional A
 nalysis: Poincaré inequalities\, Sobolev orthogonal polynomials\, Painlev
 é equations and more. Brought together\, these ingredients allow us to qu
 antify the compactness of Sobolev embeddings on Freud-weighted spaces and 
 finally resolve some differential equations in this topology. As an applic
 ation\, we rigorously and tightly enclose solutions of the Gross-Pitaevski
 i equation with sextic potential.\nThis is joint work with Maxime Breden (
 Ecole Polytechnique\, France)
URL:https://www.imperial.ac.uk/events/185193/imperial-ucl-numerics-seminar-
 early-career-seminar-hugo-chu/
DTSTART;TZID=Europe/London:20250129T141500
DTEND;TZID=Europe/London:20250129T150000
LOCATION:140\, Huxley Building\, South Kensington Campus\, Imperial College
  London\, London\, SW7 2AZ\, United Kingdom
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