Kristian Debrabant

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Person:512851

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zbMath Open debrabant.kristianMaRDI QIDQ512851

List of research outcomes

PublicationDate of PublicationType
B-series for SDEs with application to exponential integrators for non-autonomous semi-linear problems2023-10-13Paper
Exponential Euler method for stiff stochastic differential equations with additive fractional Brownian noise2023-08-25Paper
Lawson schemes for highly oscillatory stochastic differential equations and conservation of invariants2022-11-22Paper
Backward differentiation formula finite difference schemes for diffusion equations with an obstacle term2022-05-17Paper
Runge-Kutta Lawson schemes for stochastic differential equations2021-05-19Paper
Study of micro-macro acceleration schemes for linear slow-fast stochastic differential equations with additive noise2020-12-16Paper
Stochastic B-series and order conditions for exponential integrators2019-11-26Paper
Parametric model reduction via interpolating orthonormal bases2019-11-26Paper
Analysis of multilevel Monte Carlo path simulation using the Milstein discretisation2019-08-28Paper
On asymptotic global error estimation and control of finite difference solutions for semilinear parabolic equations2019-03-26Paper
Weak antithetic MLMC estimation of SDEs with the milstein scheme for low-dimensional Wiener processes2019-02-20Paper
Weak Antithetic MLMC Estimation of SDEs with the Milstein scheme for Low-Dimensional Wiener Processes2018-11-22Paper
General order conditions for stochastic partitioned Runge-Kutta methods2018-06-26Paper
A Micro-Macro Acceleration Method for the Monte Carlo Simulation of Stochastic Differential Equations2017-11-27Paper
Cheap arbitrary high order methods for single integrand SDEs2017-03-02Paper
On the Acceleration of the Multi-Level Monte Carlo Method2015-10-02Paper
On the global error of special Runge-Kutta methods applied to linear differential algebraic equations2015-05-06Paper
Semi-Lagrangian schemes for linear and fully non-linear Hamilton-Jacobi-Bellman equations2014-03-05Paper
Semi-Lagrangian schemes for parabolic equations2013-09-24Paper
Derivative-free weak approximation methods for stochastic differential equations in finance2013-09-24Paper
Semi-Lagrangian schemes for linear and fully non-linear diffusion equations2013-07-23Paper
B-series analysis of iterated Taylor methods2011-10-11Paper
Composition of stochastic B-series with applications to implicit Taylor methods2011-02-14Paper
Runge-Kutta methods for third order weak approximation of SDEs with multidimensional additive noise2010-10-13Paper
A micro/macro algorithm to accelerate Monte Carlo simulation of stochastic differential equations2010-09-20Paper
B–Series Analysis of Stochastic Runge–Kutta Methods That Use an Iterative Scheme to Compute Their Internal Stage Values2010-03-24Paper
Stochastic Taylor Expansions: Weight Functions of B-Series Expressed as Multiple Integrals2010-03-19Paper
Families of efficient second order Runge-Kutta methods for the weak approximation of Itô stochastic differential equations2009-03-20Paper
Diagonally drift-implicit Runge-Kutta methods of weak order one and two for Itô SDEs and stability analysis2009-03-20Paper
Continuous Runge-Kutta Methods for Stratonovich Stochastic Differential Equations2008-06-11Paper
Classification of stochastic Runge-Kutta methods for the weak approximation of stochastic differential equations2008-04-28Paper
Continuous weak approximation for stochastic differential equations2008-03-26Paper
Convergence of Runge-Kutta methods applied to linear partial differential-algebraic equations2005-04-21Paper

Research outcomes over time


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