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MATHICSE Technical Report : Discrete least squares polynomial approximation with random evaluations – application to parametric and stochastic elliptic PDES

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Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Fabio Nobile, Giovanni Migliorati, Erik Gustaf Bogislaw Von Schwerin

In this work we consider the random discrete

L^2

projection on polynomial spaces (hereafter RDP) for the approximation of scalar quantities of interest (QOIs) related to the solution of a partial differential equation model with random input parameters. ...

Siam Publications2013

MATHICSE Technical Report : Discrete least squares polynomial approximation with random evaluations – application to parametric and stochastic elliptic PDES

Graph Chatbot

Chattez avec Graph Search

MATHICSE Technical Report : Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets

Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Noncontacting benchtop measurements of the elastic properties of shales

Randomized Extended Kaczmarz For Solving Least Squares

Algorithmic aspects of sums of Hermitian squares of noncommutative polynomials

Video-rate fluorescence lifetime imaging camera with CMOS single-photon avalanche diode arrays and high-speed imaging algorithm

MATHICSE Technical Report : Analysis of the discrete $L^2$ projection on polynomial spaces with random evaluations

Least-Squares Minimization Under Constraints

Framework for explicit drift correction in multivariate calibration models

MATHICSE Technical Report : Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets

Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Randomized Extended Kaczmarz For Solving Least Squares

Video-rate fluorescence lifetime imaging camera with CMOS single-photon avalanche diode arrays and high-speed imaging algorithm

Noncontacting benchtop measurements of the elastic properties of shales

Algorithmic aspects of sums of Hermitian squares of noncommutative polynomials

Framework for explicit drift correction in multivariate calibration models

Least-Squares Minimization Under Constraints

MATHICSE Technical Report : Analysis of the discrete $L^2$ projection on polynomial spaces with random evaluations