A. Barth, B. Harrach, N. Hyvönen, and L. Mustonen, “Detecting Stochastic Inclusions in Electrical Impedance Tomography,” Inverse Problems, vol. 33, no. 11, p. 115012, 2017.
A. Barth and A. Stein, “Approximation and simulation of infinite-dimensional Lévy processes,” Stochastics and Partial Differential Equations: Analysis and Computations, vol. 6, no. 2, pp. 286–334, 2016.
A. Barth, R. Bürger, I. Kröker, and C. Rohde, “Computational Uncertainty Quantification for a Clarifier-thickener Model with Several Random Perturbations: A Hybrid Stochastic Galerkin Approach,” Computers & Chemical Engineering, vol. 89, pp. 11–26, 2016.
A. Barth and F. G. Fuchs, “Uncertainty Quantification for Hyperbolic Conservation Laws with Flux Coefficients Given by Spatiotemporal Random Fields,” SIAM Journal on Scientific Computing, vol. 38, no. 4, pp. A2209–A2231, 2016.
A. Barth and F. E. Benth, “The Forward Dynamics in Energy Markets - Infinite-dimensional Modelling and Simulation,” Stochastics, vol. 86, no. 6, pp. 932–966, 2014.
A. Barth, C. Schwab, and J. Sukys, “Multilevel Monte Carlo Simulation of Statistical Solutions to the Navier-Stokes Equations,” in Monte Carlo and Quasi-Monte Carlo Methods. Springer Proceedings in Mathematics & Statistics, 2014, vol. 163, pp. 209–227.
A. Abdulle, A. Barth, and C. Schwab, “Multilevel Monte Carlo Methods for Stochastic Elliptic Multiscale PDEs,” Multiscale Modeling & Simulation, vol. 11, no. 4, pp. 1033–1070, 2013.
A. Barth and A. Lang, “Milstein Approximation for Advection-diffusion Equations Driven by Multiplicative Noncontinuous Martingale Noises,” Applied Mathematics & Optimization, vol. 66, no. 3, pp. 387–413, 2012.
A. Barth and A. Lang, “Multilevel Monte Carlo Method with Applications to Stochastic Partial Differential Equations,” International Journal of Computer Mathematics, vol. 89, no. 18, pp. 2479–2498, 2012.
A. Barth, C. Schwab, and N. Zollinger, “Multi-level Monte Carlo Finite Element Method for Elliptic PDEs with Stochastic Coefficients.,” Numerische Mathematik, vol. 119, pp. 123–161, 2011.