Alexander D. Gilbert

According to our database1, Alexander D. Gilbert authored at least 15 papers between 2017 and 2024.

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

Timeline

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Bibliography

2024
Multilevel Monte Carlo Methods for Stochastic Convection-Diffusion Eigenvalue Problems.
J. Sci. Comput., June, 2024

Density estimation for elliptic PDE with random input by preintegration and quasi-Monte Carlo methods.
CoRR, 2024

2023
Analysis of Preintegration Followed by Quasi-Monte Carlo Integration for Distribution Functions and Densities.
SIAM J. Numer. Anal., February, 2023

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

2022
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on ℝ<sup>d</sup>.
Math. Comput., 2022

Theory and construction of Quasi-Monte Carlo rules for option pricing and density estimation.
CoRR, 2022

2021
Preintegration is not smoothing when monotonicity fails.
CoRR, 2021

Approximating distribution functions and densities using quasi-Monte Carlo methods after smoothing by preintegration.
CoRR, 2021

Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on $\mathbb{R}^d$.
CoRR, 2021

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

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

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

2018
Efficient Implementations of the Multivariate Decomposition Method for Approximating Infinite-Variate Integrals.
SIAM J. Sci. Comput., 2018

Hiding the weights - CBC black box algorithms with a guaranteed error bound.
Math. Comput. Simul., 2018

2017
Small superposition dimension and active set construction for multivariate integration under modest error demand.
J. Complex., 2017


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