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Publications by Mike Yan

A Data-Driven Stochastic Method for Elliptic PDEs With Random Coefficients

SIAM-ASA Journal on Uncertainty Quantification

Applied Mathematics

Discrete Mathematics

English

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A Model Reduction Method for Multiscale Elliptic Pdes With Random Coefficients Using an Optimization Approach

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A Stochastic Collocation Method for Elliptic Partial Differential Equations With Random Input Data

Computational Mathematics

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Theoretical Computer Science

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a Fully Adaptive Interpolated Stochastic Sampling Method for Linear Random Pdes

International Journal for Uncertainty Quantification

Discrete Mathematics

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Elliptic PDEs With Distributional Drift and Backward SDEs Driven by a Càdlàg Martingale With Random Terminal Time

Stochastics and Dynamics

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Multilevel Quasi-Monte Carlo Integration With Product Weights for Elliptic PDEs With Lognormal Coefficients

ESAIM: Mathematical Modelling and Numerical Analysis

Numerical Analysis

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Second-Order Elliptic PDEs With Discontinuous Boundary Data

IMA Journal of Numerical Analysis

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Stochastic Differential Equations With Random Coefficients

English

Sparse Polynomial Approximation of Parametric Elliptic PDEs. Part I: Affine Coefficients

ESAIM: Mathematical Modelling and Numerical Analysis

Numerical Analysis

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Mixed Fractional Sobolev Spaces and Elliptic PDEs With Singular Integral Boundary Data

Mathematical Methods in the Applied Sciences

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