| Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients KA Cliffe, MB Giles, R Scheichl, AL Teckentrup Computing and Visualization in Science 14, 3-15, 2011 | 679 | 2011 |
| Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients AL Teckentrup, R Scheichl, MB Giles, E Ullmann Numerische Mathematik 125, 569-600, 2013 | 268 | 2013 |
| Finite element error analysis of elliptic PDEs with random coefficients and its application to multilevel Monte Carlo methods J Charrier, R Scheichl, AL Teckentrup SIAM Journal on Numerical Analysis 51 (1), 322-352, 2013 | 267 | 2013 |
| Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps N Spillane, V Dolean, P Hauret, F Nataf, C Pechstein, R Scheichl Numerische Mathematik 126, 741-770, 2014 | 258 | 2014 |
| Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications IG Graham, FY Kuo, D Nuyens, R Scheichl, IH Sloan Journal of Computational Physics 230 (10), 3668-3694, 2011 | 220 | 2011 |
| Domain decomposition for multiscale PDEs IG Graham, PO Lechner, R Scheichl Numerische Mathematik 106, 589-626, 2007 | 209 | 2007 |
| A hierarchical multilevel Markov chain Monte Carlo algorithm with applications to uncertainty quantification in subsurface flow TJ Dodwell, C Ketelsen, R Scheichl, AL Teckentrup SIAM/ASA Journal on Uncertainty Quantification 3 (1), 1075-1108, 2015 | 192* | 2015 |
| Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients IG Graham, FY Kuo, JA Nichols, R Scheichl, C Schwab, IH Sloan Numerische Mathematik 131, 329-368, 2015 | 185 | 2015 |
| Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet-to-Neumann maps V Dolean, F Nataf, R Scheichl, N Spillane Computational Methods in Applied Mathematics 12 (4), 391-414, 2012 | 147 | 2012 |
| A Stein variational Newton method G Detommaso, T Cui, Y Marzouk, A Spantini, R Scheichl Advances in Neural Information Processing Systems 31, 2018 | 142 | 2018 |
| Multilevel quasi-Monte Carlo methods for lognormal diffusion problems F Kuo, R Scheichl, C Schwab, I Sloan, E Ullmann Mathematics of Computation 86 (308), 2827-2860, 2017 | 108 | 2017 |
| Analysis of FETI methods for multiscale PDEs C Pechstein, R Scheichl Numerische Mathematik 111 (2), 293-333, 2008 | 106 | 2008 |
| Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems P Bastian, M Blatt, R Scheichl Numerical Linear Algebra with Applications 19 (2), 367-388, 2012 | 97 | 2012 |
| Massively parallel solvers for elliptic partial differential equations in numerical weather and climate prediction EH Müller, R Scheichl Quarterly Journal of the Royal Meteorological Society 140 (685), 2608-2624, 2014 | 92 | 2014 |
| Decoupling and block preconditioning for sedimentary basin simulations R Scheichl, R Masson, J Wendebourg Computational Geosciences 7, 295-318, 2003 | 92 | 2003 |
| Approximation and sampling of multivariate probability distributions in the tensor train decomposition S Dolgov, K Anaya-Izquierdo, C Fox, R Scheichl Statistics and Computing 30, 603-625, 2020 | 83 | 2020 |
| Weighted poincaré inequalities C Pechstein, R Scheichl IMA Journal of Numerical Analysis 33 (2), 652-686, 2013 | 80 | 2013 |
| Additive Schwarz with aggregation-based coarsening for elliptic problems with highly variable coefficients R Scheichl, E Vainikko Computing 80, 319-343, 2007 | 78* | 2007 |
| Analysis of FETI methods for multiscale PDEs. Part II: interface variation C Pechstein, R Scheichl Numerische Mathematik 118, 485-529, 2011 | 76 | 2011 |
| Quasi-Monte Carlo and multilevel Monte Carlo methods for computing posterior expectations in elliptic inverse problems R Scheichl, AM Stuart, AL Teckentrup SIAM/ASA Journal on Uncertainty Quantification 5 (1), 493-518, 2017 | 75 | 2017 |
I.G. Graham Professor of Numerical Analysis Verified email at bath.ac.uk
