Deterministic and stochastic differential equations
Computations with uncertainty
Error control and adaptivity
Systematic coarse graining
Hybrid modelling
Multiscale methods.
Selected Publications
Nathan Collier, Abdul-Lateef Haji-Ali, Fabio Nobile, Erik von Schwerin, and Raúl Tempone, A Continuation Multilevel Monte Carlo algorithm, BIT Numerical Mathematics, June 2015, Volume 55, Issue 2, pp 399-432
H. Hoel, E. von Schwerin, A. Szepessy, and R. Tempone, Adaptive Multi Level Monte Carlo Simulation, In Numerical Analysis of Multiscale Computations, volume 82 of Lect. Notes Comput. Sci. Eng., Springer--Verlag, Berlin, 2011.
K.-S. Moon, E. von Schwerin, A. Szepessy, and R. Tempone, Convergence Rates for an Adaptive Dual Weighted Residual Finite Element Algorithm, BIT Numerical Mathematics 46, 367—407, 2006.
A. Dzougoutov, K.-S. Moon, E. von Schwerin, A. Szepessy, and R. Tempone, Adaptive Monte Carlo Algorithms for Stopped Diffusion, In Multiscale Methods in Science and Engineering, volume 44 of Lect. Notes Comput. Sci. Eng., Springer--Verlag, Berlin, 2005.
K.-S. Moon, E. von Schwerin, A. Szepessy, and R. Tempone, An Adaptive Algorithm for Ordinary, Stochastic and Partial Differential Equations, In Recent Advances in Adaptive Computation, volume 383 of Contemporary Mathematics, American Mathematical Society, Providence, 2005.
Education
Ph.D. Numerical Analysis, Royal Institute of Technology (KTH), Stockholm, Sweden, 2007
M.S. Engineering Physics, Royal Institute of Technology (KTH), Stockholm, Sweden, 2001