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Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients

Numerische Mathematik, 2011-09, Vol.119 (1), p.123-161

2011

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Multi-index Monte Carlo: when sparsity meets sampling

Numerische Mathematik, 2016-04, Vol.132 (4), p.767-806

2016

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A continuation multilevel Monte Carlo algorithm

BIT, 2015-06, Vol.55 (2), p.399-432

2015

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Application of Quasi-Monte Carlo Methods to Elliptic PDEs with Random Diffusion Coefficients: A Survey of Analysis and Implementation

Foundations of computational mathematics, 2016-12, Vol.16 (6), p.1631-1696

2016

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An MLMCE-HDG method for the convection diffusion equation with random diffusivity

Computers & mathematics with applications (1987), 2022-12, Vol.127, p.127-143

2022

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Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients

Numerische Mathematik, 2013-11, Vol.125 (3), p.569-600

2013

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Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients

Foundations of computational mathematics, 2015-04, Vol.15 (2), p.411-449

2015

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Optimization of mesh hierarchies in multilevel Monte Carlo samplers

Stochastic partial differential equations : analysis and computations, 2016-03, Vol.4 (1), p.76-112

2016

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Multilevel Monte Carlo Methods for Stochastic Convection–Diffusion Eigenvalue Problems

Journal of scientific computing, 2024, Vol.99 (3), p.77-77

2024

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Multilevel approximate Bayesian approaches for flows in highly heterogeneous porous media and their applications

Journal of computational and applied mathematics, 2017-06, Vol.317, p.700-717

2017

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Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data

Mathematics of computation, 2012-10, Vol.81 (280), p.1979-2018

2012

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Convergence analysis of multifidelity Monte Carlo estimation

Numerische Mathematik, 2018-07, Vol.139 (3), p.683-707

2018

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MULTILEVEL MONTE CARLO FINITE ELEMENT METHODS FOR STOCHASTIC ELLIPTIC VARIATIONAL INEQUALITIES

SIAM journal on numerical analysis, 2014-01, Vol.52 (3), p.1243-1268

2014

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Multilevel Monte Carlo Finite Volume Methods for Shallow Water Equations with Uncertain Topography in Multi-dimensions

SIAM journal on scientific computing, 2012-01, Vol.34 (6), p.B761-B784

2012

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Multi-index Stochastic Collocation Convergence Rates for Random PDEs with Parametric Regularity

Foundations of computational mathematics, 2016-12, Vol.16 (6), p.1555-1605

2016

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A posteriori error estimation for elliptic partial differential equations with small uncertainties

Numerical methods for partial differential equations, 2016-01, Vol.32 (1), p.175-212

2016

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Numerical analysis of lognormal diffusions on the sphere

Stochastic partial differential equations : analysis and computations, 2018, Vol.6 (1), p.1-44

2018

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Multilevel tensor approximation of PDEs with random data

Stochastic partial differential equations : analysis and computations, 2017-09, Vol.5 (3), p.400-427

2017

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Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients

Multi-index Monte Carlo: when sparsity meets sampling

A continuation multilevel Monte Carlo algorithm

Application of Quasi-Monte Carlo Methods to Elliptic PDEs with Random Diffusion Coefficients: A Survey of Analysis and Implementation

An MLMCE-HDG method for the convection diffusion equation with random diffusivity

Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients

Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random Coefficients

Optimization of mesh hierarchies in multilevel Monte Carlo samplers

Multilevel Monte Carlo Methods for Stochastic Convection–Diffusion Eigenvalue Problems

Multilevel approximate Bayesian approaches for flows in highly heterogeneous porous media and their applications

Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data

Convergence analysis of multifidelity Monte Carlo estimation

MULTILEVEL MONTE CARLO FINITE ELEMENT METHODS FOR STOCHASTIC ELLIPTIC VARIATIONAL INEQUALITIES

Multilevel Monte Carlo Finite Volume Methods for Shallow Water Equations with Uncertain Topography in Multi-dimensions

Multi-index Stochastic Collocation Convergence Rates for Random PDEs with Parametric Regularity

A posteriori error estimation for elliptic partial differential equations with small uncertainties

Numerical analysis of lognormal diffusions on the sphere

Multilevel tensor approximation of PDEs with random data

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