Numerical Modelling of Nonlinear Stochastic Systems

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Numerical Modelling of Nonlinear Stochastic Systems

 07 - 11 Apr 2025

ICMS, Bayes Centre, Edinburgh

 Enquiries

This is an invite only event. Invited participants will have received an invitation from ICMS.

Scientific Organisers:

  • Lubomir Banas, Bielefeld University
  • Istvan Gyongy, University of Edinburgh
  • Erika Hausenblas, University of Leoben
  • Andreas Prohl, Univeristy of Tuebingen

About:

This workshop brings together leading experts in the field of nonlinear stochastic partial differential equations  (SPDEs) working on the interface between stochastic analysis, analysis of PDEs and stochastic and deterministic numerics. We aim to contribute towards the solution of open problems in the field of numerical approximation of SPDEs and to identify emerging new problems and applications in this area.

Programme:

MONDAY 7 APRIL 2025
09.30 - 10.00 Registrations and Refreshments
10.00 - 10.10 Welcome and Housekeeping
10.10 - 10.50 Annie Millet, Université Paris 1 Panthéon Sorbonne On the focusing stochastic NLS equation: critical and inter-critical nonlinearities
10.50 - 11.30 Evelyn Bukwar, Johannes Kepler University Linz TBC
11.30 - 12.10 Joern Wichmann, Monash University Reaching the equilibrium: Long-term stable numerical schemes for SPDEs
12.10 - 14.00 Lunch
14.00 - 14.40 Avi Mayorcas, University of Bath Forward-Backward SDEs and Neural Networks in Heterogeneous Household Wealth Models
14.40 - 15.20 Martin Ondreját, Czech Academy of Sciences TBC
15.20 - 15.50 Refreshments
15.50 - 16.30 Huyen Pham, Ecole Polytechnique Actor-Critic learning for mean-field control in continuous time
16.30 - 18.00 Welcome Drinks Reception
TUESDAY 8 APRIL 2025
09.15 - 09.55 Nicolai Krylov, University of Minnesota Once again on de Moivre--Laplace CLT
09.55 - 10.25 Refreshments
10.25 - 11.05 Mariya Ptashnyk, Heriot-Watt University TBC
11.05 - 11.45 Günther Grün, Friedrich-Alexander-Universität Erlangen-Nürnberg On semi-discrete finite-element schemes for energy-dissipating solutions to stochastic thin-film equations
11.45 - 12.25 Aleksandra Zimmermann, TU Clausthal Convergence analysis of a finite volume scheme for a stochastic Allen-Cahn problem
12.25 - 14.00 Lunch
14.00 - 14.40 David Cohen, Chalmers University of Technology & University of Gothenburg Analysis of a positivity-preserving splitting scheme for some semi-linear stochastic heat equations
14.40 - 15.20 Sizhou Wu, Shanghai University of Finance and Economics Modern numerical methods for semi-linear partial integro-differential equations using Monte Carlo and neural networks
15.20 - 15.50 Refreshments
15.50 - 16.30 Aristide Ngana, University of York TBC
16:30-17:10 Sonja Cox, University of Amsterdam Weak convergence rates for Galerkin approximations of the stochastic Burger's equation
WEDNESDAY 9 APRIL 2025
09.15 - 09.55 Stefan Metzger, University of Erlangen–Nuremberg An augmented SAV scheme for the stochastic Allen-Cahn equation
09.55 - 10.25 Refreshments
10.25 - 11.05 Sotirios Sabanis, University of Edinburgh TBC
11.05 - 11.45 Luca Scarpa, Politecnico di Milano Analysis and simulations of a stochastic phase-field model for tumour growth
11.45 - 12.25 Nathan Kutz, University of Washington SHRED: SHallow REcurrent Decoder for Model Discovery
12.25 Lunch and Free Afternoon
THURSDAY 10 APRIL 2025
09.15 - 09.55 Michael Tretyakov, University of Nottingham Well-posedness and approximation of reflected McKean-Vlasov SDEs
09.55 - 10.25 Refreshments
10.25 - 11.05 Abhishek Chaudhary, University of Tübingen An Efficient Discretization to Simulate the Solution of a Linear-Quadratic Stochastic Boundary Control Problem
11.05 - 11.45 Annika Lang, Chalmers University of Technology & University of Gothenburg Simulation of random fields and stochastic partial differential equations on hypersurfaces
11.45 - 12.25 Chengcheng Ling, University of Augsburg Regularization by noise and numerical approximation of stochastic Cahn-Hilliard type nonlinear equations
12.25 - 14.00 Lunch
14.00 - 14.40 Hannelore Lisei, Babes-Bolyai University, Cluj-Napoca Stochastic Nonlinear Schrödinger Equations: Methods for Approximation and Optimal Control Results
14.40 - 15.20 Zdzislaw Brzezniak, University of York TBC
15.20 - 15.50 Refreshments
15.50 - 16.30 Hakima Bessaih, Florida International University An overview of numerical schemes for stochastic hydrodynamics
16.30 - 17.30 Terry Lyons, University of Oxford The Mathematics of Complex Streamed Data
19.00 Workshop Dinner, The Scholar Pollock Estate, 18 Holyrood Park Rd, Edinburgh EH16 5AY
FRIDAY 11 APRIL 2025
09.15 - 09.55 Yueh-Sheng Hsu, TU Wien TBC
09.55 - 10.25 Refreshments
10.25 - 11.05 Stefanie Sonner, Radboud University Stabilization by boundary noise
11.05 - 11.45 Eric Hall, University of Dundee TBC
11.45 - 12.25 David Siska, University of Edinburgh Entropy annealing for policy mirror descent in continuous time and space
12.25 Lunch and End of Workshop

Sponsors and Funders:

  • German