| 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 (1), 3, 2011 | 425 | 2011 |
| 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 | 188 | 2013 |
| Domain decomposition for multiscale PDEs IG Graham, PO Lechner, R Scheichl Numerische Mathematik 106 (4), 589-626, 2007 | 182 | 2007 |
| Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients AL Teckentrup, R Scheichl, MB Giles, E Ullmann Numerische Mathematik 125 (3), 569-600, 2013 | 171 | 2013 |
| 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 | 154 | 2011 |
| 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 (4), 741-770, 2014 | 140 | 2014 |
| 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 (2), 329-368, 2015 | 101 | 2015 |
| Analysis of FETI methods for multiscale PDEs C Pechstein, R Scheichl Numerische Mathematik 111 (2), 293-333, 2008 | 96 | 2008 |
| 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 | 91 | 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 Comput. Methods Appl. Math. 12 …, 2012 | 86 | 2012 |
| Additive Schwarz with aggregation-based coarsening for elliptic problems with highly variable coefficients R Scheichl, E Vainikko Computing 80 (4), 319-343, 2007 | 72 | 2007 |
| Decoupling and block preconditioning for sedimentary basin simulations R Scheichl, R Masson, J Wendebourg Computational Geosciences 7 (4), 295-318, 2003 | 72 | 2003 |
| Analysis of FETI methods for multiscale PDEs. Part II: interface variation C Pechstein, R Scheichl Numerische Mathematik 118 (3), 485-529, 2011 | 69 | 2011 |
| Robust domain decomposition algorithms for multiscale PDEs IG Graham, R Scheichl Numerical Methods for Partial Differential Equations: An International …, 2007 | 66 | 2007 |
| Weighted poincaré inequalities C Pechstein, R Scheichl IMA Journal of Numerical Analysis 33 (2), 652-686, 2013 | 63 | 2013 |
| Parallel computation of flow in heterogeneous media modelled by mixed finite elements KA Cliffe, IG Graham, R Scheichl, L Stals Journal of Computational Physics 164 (2), 258-282, 2000 | 62 | 2000 |
| 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 | 60 | 2012 |
| 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 | 55 | 2017 |
| 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 | 48 | 2014 |
| A robust two-level domain decomposition preconditioner for systems of PDEs N Spillane, V Dolean, P Hauret, F Nataf, C Pechstein, R Scheichl Comptes Rendus Mathematique 349 (23-24), 1255-1259, 2011 | 46 | 2011 |
I.G. Graham Professor of Numerical Analysis Verified email at bath.ac.uk
