Professor Bertram Düring Professor Office: C1.19 Phone: +44 (0)24 76XX XXXX Email: Bertram.During@warwick.ac.uk

 

Teaching Responsibilities 2021/22:

Term 1: MA3G1 Theory of PDEs

Research Interests: applied and computational partial differential equations: modelling, analysis, numerical analysis and optimal control, with a particular interest in applications from finance and socio-economics

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Most relevant recent publications:

• J.A. Carrillo, B. Düring, L.M. Kreusser and C.-B. Schönlieb.
  Equilibria of an anisotropic nonlocal interaction equation: analysis and numerics.
  Discrete Contin. Dyn. Syst. Ser. A, 2021.
• J.A. Carrillo, B. Düring, D. Matthes and D.S. McCormick.
  A Lagrangian scheme for the solution of nonlinear diffusion equations using moving simplex meshes.
  J. Sci. Comput. 75(3) (2018), 1463-1499.
• B. Düring, M. Torregrossa and M.-T. Wolfram.
  Boltzmann and Fokker-Planck equations modelling the Elo rating system with learning effects.
  J. Nonlinear Sci. 29(3) (2019), 1095-1128.
• B. Düring, L. Pareschi and G. Toscani.
  Kinetic models for optimal control of wealth inequalities.
  Eur. Phys. J. B 91(10) (2018), 265.
• M. Burger, B. Düring, L.M. Kreusser, P.A. Markowich and C.-B. Schönlieb.
  Pattern formation of a nonlocal, anisotropic interaction model.
  Math. Models Methods Appl. Sci. 28(3) (2018), 409-451.
• B. Düring and A. Pitkin.
  High-order compact finite difference scheme for option pricing in stochastic volatility jump models.
  J. Comput. Appl. Math. 355 (2019), 201-217.
• B. Düring and J. Miles.
  High-order ADI scheme for option pricing in stochastic volatility models.
  J. Comput. Appl. Math. 316 (2017), 109-121.

Workshops/conferences/seminars:

• Minisymposium Higher-order evolution equations, 8th European Congress of Mathematics (8ECM), 20–26 June 2021.
• Co-organiser (with M.-T. Wolfram) of minisymposium Inverse problems and optimal control for mean-field models in socio-economics, IFIP TC7 Conference on System Modelling and Optimization, 30 August–3 September 2021, Quito, Ecuador
• Invited participant in Frontiers in kinetic theory: connecting microscopic to macroscopic scales – KineCon 2022 programme, 4 January–24 June 2022, Isaac Newton Institute, Cambridge
• Workshop Contemporary trends in kinetic theory and nonlinear PDEs, 11–12 July 2022, Pavia, Italy

Recent research grants:

• Travel grant LMS-8ECM, financed by London Mathematical Society, 03/2021
  
• Novel discretisations for higher-order nonlinear PDE, Research Project Grant by The Leverhulme Trust (principal investigator), 09/2015–08/2019

Personal Homepage: homepages.warwick.ac.uk/staff/Bertram.During