Prof. Christoph Reisinger

Status

Academic Faculty

Professor of Applied Mathematics

http://people.maths.ox.ac.uk/reisinge/

Research groups

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Highlighted publications

A neural network based policy iteration algorithm with global H²-superlinear convergence for stochastic games on domains

REISINGER, C Zhang, Y Ito, K Foundations of Computational Mathematics volume N/A N/A-N/A (18 May 2020)

Convergence of an Euler scheme for a hybrid stochastic-local volatility model with stochastic rates in foreign exchange markets

Cozma, A Mariapragassam, M Reisinger, C SIAM Journal on Financial Mathematics volume 9 issue 1 127-170 (24 Jan 2018)

Piecewise constant policy approximations to Hamilton-Jacobi-Bellman equations

Reisinger, C Forsyth, P APPLIED NUMERICAL MATHEMATICS volume 103 27-47 (May 2016) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000371361600002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e

The Effect of Non-Smooth Payoffs on the Penalty Approximation of American Options

Reisinger, C Howison, S Witte, J SIAM Journal on Financial Mathematics (2013)

Penalty Methods for the Solution of Discrete HJB Equations -- Continuous Control and Obstacle Problems

Reisinger, C Witte, J SIAM Journal on Numerical Analysis volume 2 issue 50 595-625 (2012)

Preferred address

S1.41, Mathematical Institute, Woodstock Rd, Oxford, OX2 6GG, UK

Further details

I am Professor of Applied Mathematics at Oxford's Mathematical Institute and Tutorial Fellow in Mathematics at St Catherine's College. I am Editor-in-Chief of The Journal of Computational Finance, and serve on the editorial board of Applied Mathematical Finance and the International Journal of Computer Mathematics.

Research interests

Numerical analysis:

high-dimensional PDEs
deep neural networks
McKean-Vlasov equations
non-linear PDEs (in particular, of HJB-type)
(quasi-)variational inequalities, impulse control
multilevel and multi-index Monte Carlo
SPDEs (in particular, of Zakai-type)
SDEs (especially non-Lipschitz)

Mathematical and computational finance:

derivative valuation and counterparty credit risk (in particular, large pool contagion models)
quantification of hedging errors
model calibration (FX, equity, credit)
investment and incomplete markets

Recent publications

Implicit and fully discrete approximation of the supercooled Stefan
problem in the presence of blow-ups

Cuchiero, C Reisinger, C Rigger, S (29 Jun 2022) http://arxiv.org/abs/2206.14641v1

Well-posedness and numerical schemes for one-dimensional McKean-Vlasov equations and interacting particle systems with discontinuous drift

Reisinger, C Stockinger, W BIT Numerical Mathematics (18 May 2022)

Regularity and stability of feedback relaxed controls

Reisinger, C Zhang, Y SIAM Journal on Control and Optimization volume 59 issue 5 3118-3151 (13 Sep 2021)

An adaptive Euler–Maruyama scheme for McKean–Vlasov SDEs with super-linear growth and application to the mean-field FitzHugh–Nagumo model

Reisinger, C Stockinger, W Journal of Computational and Applied Mathematics volume 400 (13 Jul 2021)

Stability and convergence of second order backward differentiation schemes for parabolic Hamilton–Jacobi–Bellman equations

Bokanowski, O Picarelli, A Reisinger, C Numerische Mathematik volume 148 issue 1 187-222 (20 May 2021)

Major / recent publications

For an up-to-date list of publications and preprints see here.

Teaching

I teach various Masters level courses in the areas of computational finance, numerical analysis and partial differential equations. I have examined on several Masters programmes and numerous PhD committees at and outside Oxford, and was Course Director of the professional MSc in Mathematical Finance at Oxford for over six years. I am a tutor for Applied Mathematics at St Catherine's College, Oxford, and have occasionally served as Director of Studies.