On the low-rank approximation by the pivoted Cholesky decomposition H Harbrecht, M Peters, R Schneider Applied numerical mathematics 62 (4), 428-440, 2012 | 265 | 2012 |
Analysis of the domain mapping method for elliptic diffusion problems on random domains H Harbrecht, M Peters, M Siebenmorgen Numerische Mathematik, 1-34, 2016 | 92* | 2016 |
Efficient approximation of random fields for numerical applications H Harbrecht, M Peters, M Siebenmorgen | 67 | 2013 |
Multilevel accelerated quadrature for PDEs with log-normally distributed diffusion coefficient H Harbrecht, M Peters, M Siebenmorgen SIAM/ASA Journal on Uncertainty Quantification 4 (1), 520-551, 2016 | 51* | 2016 |
On multilevel quadrature for elliptic stochastic partial differential equations H Harbrecht, M Peters, M Siebenmorgen Sparse grids and applications, 161-179, 2012 | 45 | 2012 |
Comparison of fast boundary element methods on parametric surfaces H Harbrecht, M Peters Computer Methods in Applied Mechanics and Engineering 261, 39-55, 2013 | 43 | 2013 |
Combination technique based k-th moment analysis of elliptic problems with random diffusion H Harbrecht, M Peters, M Siebenmorgen Journal of computational physics 252, 128-141, 2013 | 39 | 2013 |
Novel results for the anisotropic sparse grid quadrature AL Haji-Ali, H Harbrecht, MD Peters, M Siebenmorgen Journal of Complexity 47, 62-85, 2018 | 37* | 2018 |
Bembel: The fast isogeometric boundary element C++ library for Laplace, Helmholtz, and electric wave equation J Dölz, H Harbrecht, S Kurz, M Multerer, S Schöps, F Wolf SoftwareX 11, 100476, 2020 | 32 | 2020 |
Higher Order Quasi-Monte Carlo for Bayesian Shape Inversion RN Gantner, MD Peters SIAM/ASA Journal on Uncertainty Quantification, 2018 | 31 | 2018 |
On the quasi-Monte Carlo method with Halton points for elliptic PDEs with log-normal diffusion H Harbrecht, M Peters, M Siebenmorgen Mathematics of Computation 86 (304), 771-797, 2017 | 29* | 2017 |
An interpolation‐based fast multipole method for higher‐order boundary elements on parametric surfaces J Dölz, H Harbrecht, M Peters International Journal for Numerical Methods in Engineering 108 (13), 1705-1728, 2016 | 28 | 2016 |
Multilevel quadrature for elliptic parametric partial differential equations in case of polygonal approximations of curved domains M Griebel, H Harbrecht, M Multerer arXiv preprint arXiv:1509.09058, 2015 | 17* | 2015 |
Simulation of morphogen and tissue dynamics MD Multerer, LD Wittwer, A Stopka, D Barac, C Lang, D Iber Morphogen gradients: Methods and protocols, 223-250, 2018 | 13* | 2018 |
H-matrix Accelerated Second Moment Analysis for Potentials with Rough Correlation J Dölz, H Harbrecht, M Peters | 13 | 2014 |
Isogeometric multilevel quadrature for forward and inverse random acoustic scattering J Dölz, H Harbrecht, C Jerez-Hanckes, M Multerer Computer Methods in Applied Mechanics and Engineering 388, 114242, 2022 | 11 | 2022 |
A fast direct solver for nonlocal operators in wavelet coordinates H Harbrecht, M Multerer Journal of computational physics 428, 110056, 2021 | 10 | 2021 |
Multilevel tensor approximation of PDEs with random data J Ballani, D Kressner, MD Peters Stochastics and Partial Differential Equations: Analysis and Computations 5 …, 2017 | 10 | 2017 |
Uncertainty quantification for PDEs with anisotropic random diffusion H Harbrecht, MD Peters, M Schmidlin SIAM Journal on Numerical Analysis 55 (2), 1002-1023, 2017 | 10 | 2017 |
Samplets: Construction and scattered data compression H Harbrecht, M Multerer Journal of computational physics 471, 111616, 2022 | 9 | 2022 |