Robert Scheichl

Orcid: 0000-0001-8493-4393

According to our database1, Robert Scheichl authored at least 78 papers between 2002 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Deep Importance Sampling Using Tensor Trains with Application to a Priori and a Posteriori Rare Events.
SIAM J. Sci. Comput., February, 2024

A Mixed Multiscale Spectral Generalized Finite Element Method.
CoRR, 2024

Democratizing Uncertainty Quantification.
CoRR, 2024

Tractable Optimal Experimental Design using Transport Maps.
CoRR, 2024

2023
A Bayesian Approach to Modeling Biological Pattern Formation with Limited Data.
SIAM J. Sci. Comput., October, 2023

Multilevel Spectral Domain Decomposition.
SIAM J. Sci. Comput., June, 2023

Wavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz Problems.
SIAM J. Numer. Anal., June, 2023

Multilevel Delayed Acceptance MCMC.
SIAM/ASA J. Uncertain. Quantification, March, 2023

A complex-projected Rayleigh quotient iteration for targeting interior eigenvalues.
CoRR, 2023

Lowering the Entry Bar to HPC-Scale Uncertainty Quantification.
CoRR, 2023

Multilevel Monte Carlo methods for stochastic convection-diffusion eigenvalue problems.
CoRR, 2023

2022
Rank Bounds for Approximating Gaussian Densities in the Tensor-Train Format.
SIAM/ASA J. Uncertain. Quantification, March, 2022

Novel Design and Analysis of Generalized Finite Element Methods Based on Locally Optimal Spectral Approximations.
SIAM J. Numer. Anal., 2022

Error estimates for discrete generalized FEMs with locally optimal spectral approximations.
Math. Comput., 2022

Scalable multiscale-spectral GFEM for composite aero-structures.
CoRR, 2022

Deep importance sampling using tensor-trains with application to a priori and a posteriori rare event estimation.
CoRR, 2022

Adaptive multilevel subset simulation with selective refinement.
CoRR, 2022

2021
Wavenumber explicit convergence of a multiscale GFEM for heterogeneous Helmholtz problems.
CoRR, 2021

Overlapping Schwarz methods with GenEO coarse spaces for indefinite and non-self-adjoint problems.
CoRR, 2021

Error estimates for fully discrete generalized FEMs with locally optimal spectral approximations.
CoRR, 2021

GenEO coarse spaces for heterogeneous indefinite elliptic problems.
CoRR, 2021

Novel design and analysis of generalized FE methods based on locally optimal spectral approximations.
CoRR, 2021

Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems II: Efficient algorithms and numerical results.
CoRR, 2021

High performance uncertainty quantification with parallelized multilevel Markov chain Monte Carlo.
Proceedings of the International Conference for High Performance Computing, 2021

HINT: Hierarchical Invertible Neural Transport for Density Estimation and Bayesian Inference.
Proceedings of the Thirty-Fifth AAAI Conference on Artificial Intelligence, 2021

2020
Unified Analysis of Periodization-Based Sampling Methods for Matérn Covariances.
SIAM J. Numer. Anal., 2020

Approximation and sampling of multivariate probability distributions in the tensor train decomposition.
Stat. Comput., 2020

A fully adaptive multilevel stochastic collocation strategy for solving elliptic PDEs with random data.
J. Comput. Phys., 2020

High-performance dune modules for solving large-scale, strongly anisotropic elliptic problems with applications to aerospace composites.
Comput. Phys. Commun., 2020

Multilevel quasi-Monte Carlo for random elliptic eigenvalue problems I: Regularity and error analysis.
CoRR, 2020

Multilevel Monte Carlo for quantum mechanics on a lattice.
CoRR, 2020

2019
Multilevel Markov Chain Monte Carlo.
SIAM Rev., 2019

Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients.
Numerische Mathematik, 2019

A Hybrid Alternating Least Squares-TT-Cross Algorithm for Parametric PDEs.
SIAM/ASA J. Uncertain. Quantification, 2019

ERRATUM: A Hierarchical Multilevel Markov Chain Monte Carlo Algorithm with Applications to Uncertainty Quantification in Subsurface Flow.
SIAM/ASA J. Uncertain. Quantification, 2019

Continuous Level Monte Carlo and Sample-Adaptive Model Hierarchies.
SIAM/ASA J. Uncertain. Quantification, 2019

Multilevel Dimension-Independent Likelihood-Informed MCMC for Large-Scale Inverse Problems.
CoRR, 2019

Multilevel Monte Carlo Simulations of Composite Structures with Uncertain Manufacturing Defects.
CoRR, 2019

HINT: Hierarchical Invertible Neural Transport for General and Sequential Bayesian inference.
CoRR, 2019

A High-Performance Implementation of a Robust Preconditioner for Heterogeneous Problems.
Proceedings of the Parallel Processing and Applied Mathematics, 2019

2018
Analysis of Circulant Embedding Methods for Sampling Stationary Random Fields.
SIAM J. Numer. Anal., 2018

Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients.
Numerische Mathematik, 2018

Multilevel Monte Carlo and improved timestepping methods in atmospheric dispersion modelling.
J. Comput. Phys., 2018

A Stein variational Newton method.
Proceedings of the Advances in Neural Information Processing Systems 31: Annual Conference on Neural Information Processing Systems 2018, 2018

2017
Scheduling Massively Parallel Multigrid for Multilevel Monte Carlo Methods.
SIAM J. Sci. Comput., 2017

Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems.
Math. Comput., 2017

Quasi-Monte Carlo and Multilevel Monte Carlo Methods for Computing Posterior Expectations in Elliptic Inverse Problems.
SIAM/ASA J. Uncertain. Quantification, 2017

2016
An Euler-Poisson scheme for Lévy driven stochastic differential equations.
J. Appl. Probab., 2016

Robust Numerical Upscaling of Elliptic Multiscale Problems at High Contrast.
Comput. Methods Appl. Math., 2016

2015
Optimized Schwarz and 2-Lagrange Multiplier Methods for Multiscale Elliptic PDEs.
SIAM J. Sci. Comput., 2015

Petascale solvers for anisotropic PDEs in atmospheric modelling on GPU clusters.
Parallel Comput., 2015

Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients.
Numerische Mathematik, 2015

A Hierarchical Multilevel Markov Chain Monte Carlo Algorithm with Applications to Uncertainty Quantification in Subsurface Flow.
SIAM/ASA J. Uncertain. Quantification, 2015

2014
Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps.
Numerische Mathematik, 2014

Petascale elliptic solvers for anisotropic PDEs on GPU clusters.
CoRR, 2014

Efficient Multigrid Preconditioners for Anisotropic Problems in Geophysical Modelling.
CoRR, 2014

2013
Robust Coarsening in Multiscale PDEs.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

New Theoretical Coefficient Robustness Results for FETI-DP.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

A Two-Level Schwarz Preconditioner for Heterogeneous Problems.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Finite Element Error Analysis of Elliptic PDEs with Random Coefficients and Its Application to Multilevel Monte Carlo Methods.
SIAM J. Numer. Anal., 2013

Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients.
Numerische Mathematik, 2013

Massively parallel solvers for elliptic PDEs in Numerical Weather- and Climate Prediction.
CoRR, 2013

Matrix-free GPU implementation of a preconditioned conjugate gradient solver for anisotropic elliptic PDEs.
Comput. Vis. Sci., 2013

2012
Multilevel Methods for Elliptic Problems with Highly Varying Coefficients on Nonaligned Coarse Grids.
SIAM J. Numer. Anal., 2012

Algebraic multigrid for discontinuous Galerkin discretizations of heterogeneous elliptic problems.
Numer. Linear Algebra Appl., 2012

Analysis of a Two-level Schwarz Method with Coarse Spaces Based on Local Dirichlet-to-Neumann Maps.
Comput. Methods Appl. Math., 2012

2011
Analysis of FETI methods for multiscale PDEs. Part II: interface variation.
Numerische Mathematik, 2011

Weak Approximation Properties of Elliptic Projections with Functional Constraints.
Multiscale Model. Simul., 2011

Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications.
J. Comput. Phys., 2011

Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients.
Comput. Vis. Sci., 2011

2010
Convergence Analysis of Planewave Expansion Methods for 2D Schrödinger Operators with Discontinuous Periodic Potentials.
SIAM J. Numer. Anal., 2010

Parallel geometric multigrid for global weather prediction.
Numer. Linear Algebra Appl., 2010

2009
Energy-minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs.
Numer. Linear Algebra Appl., 2009

2008
Analysis of FETI methods for multiscale PDEs.
Numerische Mathematik, 2008

2007
Domain decomposition for multiscale PDEs.
Numerische Mathematik, 2007

Additive Schwarz with aggregation-based coarsening for elliptic problems with highly variable coefficients.
Computing, 2007

2003
Parallel Preconditioning for Sedimentary Basin Simulations.
Proceedings of the Large-Scale Scientific Computing, 4th International Conference, 2003

2002
Decoupling Three-Dimensional Mixed Problems Using Divergence-Free Finite Elements.
SIAM J. Sci. Comput., 2002


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