136 citations · 451 across the 26 of their papers we have counts for
4 papers · 1 filter
Self-exciting price impact via negative resilience in stochastic order books
Julia Ackermann, Thomas Kruse, Mikhail Urusov
Most of the existing literature on optimal trade execution in limit order book models assumes that resilience is positive. But negative resilience also has a natural interpretation…
Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations
Martin Hutzenthaler, Arnulf Jentzen, Thomas Kruse +1
Backward stochastic differential equations (BSDEs) belong nowadays to the most frequently studied equations in stochastic analysis and computational stochastics. BSDEs in applicati…
On the speed of convergence of Picard iterations of backward stochastic differential equations
Martin Hutzenthaler, Thomas Kruse, Tuan Anh Nguyen
It is a well-established fact in the scientific literature that Picard iterations of backward stochastic differential equations with globally Lipschitz continuous nonlinearity conv…
Multilevel Picard approximations for McKean-Vlasov stochastic differential equations
Martin Hutzenthaler, Thomas Kruse, Tuan Anh Nguyen
In the literatur there exist approximation methods for McKean-Vlasov stochastic differential equations which have a computational effort of order . In this article we introduce…