Monte Carlo Gradient in Optimization Constrained by Radiative Transport Equation-Reference-Cited by-同舟云学术

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Monte Carlo Gradient in Optimization Constrained by Radiative Transport Equation

Published:2023-11-17 Issue:6 Volume:61 Page:2744-2774
ISSN:0036-1429
Container-title:SIAM Journal on Numerical Analysis
language:en
Short-container-title:SIAM J. Numer. Anal.

Author:

Li Qin¹^ORCID,Wang Li²^ORCID,Yang Yunan³^ORCID

Affiliation:

1. Department of Mathematics, University of Wisconsin-Madison, Madison, WI 53705 USA.

2. Department of Mathematics, University of Minnesota Twin Cities, Minneapolis, MN 55455 USA.

3. Department of Mathematics, Cornell University, Ithaca, NY 14853 USA.

Funder

ETH Zürich Foundation

National Science Foundation

Simons Foundation

Wisconsin Alumni Research Foundation

Walter Haefner Stiftung

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Numerical Analysis,Applied Mathematics,Computational Mathematics

Reference38 articles.

1. High-Order Entropy-Based Closures for Linear Transport in Slab Geometry II: A Computational Study of the Optimization Problem

2. A Convergence Proof for Nanbu’s Simulation Method for the Full Boltzmann Equation

3. Variance reduction for Monte Carlo solutions of the Boltzmann equation

4. Radiative transfer equations with varying refractive index: a mathematical perspective

5. Inverse transport theory and applications

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