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2017

Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2017) On the quasi-Monte Carlo quadrature with Halton points for elliptic PDEs with log-normal diffusion. Mathematics of Computation, 86. pp. 771-797.

2016

Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2016) Multilevel accelerated quadrature for PDEs with log-normally distributed random coefficient. SIAM/ASA Journal on Uncertainty Quantification, 4 (1). pp. 520-551.

Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2016) Analysis of the domain mapping method for elliptic diffusion problems on random domains. Numerische Mathematik, 134 (4). pp. 823-856.

2015

Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2015) Efficient approximation of random fields for numerical applications. Numerical linear algebra with applications, Vol. 22, H. 4. pp. 596-617.

Siebenmorgen, Markus. Quadrature methods for elliptic PDEs with random diffusion. 2015, Doctoral Thesis, University of Basel, Faculty of Science.

2013

Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2013) On multilevel quadrature for elliptic stochastic partial differential equations. In: Sparse grids and applications. Berlin-Heidelberg, pp. 161-179.

Harbrecht, Helmut and Peters, Michael and Siebenmorgen, Markus. (2013) Combination technique based k-th moment analysis of elliptic problems with random diffusion. Journal of computational physics, Vol. 252 , S. 128–141.