Research Seminar in Mathematics - Hands-on high-order orthogonal-polynomial methods for an integrodifferential equation
17 September 2021 13:15 Zoom
Please contact Andrii Dmytryshyn if you have any questions regarding this seminar series.
Speaker
Hugo U.R. Strand, Örebro University.
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Meeting ID: 683 1983 3939
Passcode: 164374
Abstract
High-order orthogonal-polynomial approximation methods and their application is still an evolving field in numerical mathematics [1]. Recent advances has enabled extreme high-order approximations [2] and new algorithmic developments has opened the door for applications on integral equations [3].
In this talk we will present an application of these methods to the integrodifferential "Dyson" equation, that appears in the context of perturbation theory in many-body quantum physics [4].
[1] S. Olver, R.M. Slevisksy, A. Townsend, Acta Numerica pp. 573-699 (2020)
[2] I. Boagert, SIAM J. Sci. Comput., v36 no. 3 pp. A1008-A1026 (2014)
[3] N. Hale, A. Townsend, SIAM J. Sci. Comput., v36 no. 3 pp. A1207-A1220 (2014)
[4] X. Dong, D. Zgid, E. Gull, H.U.R. Strand, J. Chem. Phys. 152, 134107 (2020)
Welcome!