Current Year

Volume 16, 2026 / Issue 1

DOI: 10.1615/Int.J.UncertaintyQuantification.v16.i1

Table of Contents:

EFFICIENT SHAPE AND TOPOLOGY OPTIMIZATION FOR RANDOM EXTERIOR BERNOULLI FREE BOUNDARY PROBLEMS BASED ON THE MULTIMODES MONTE CARLO METHOD Jiajie Li, Hui Yang, Jiayi Ye, Shengfeng Zhu

Jiajie Li
Shanghai Jiaotong University

Hui Yang
East China Normal University

Jiayi Ye
School of Mathematical Sciences, East China Normal University, Shanghai 200241, China

Shengfeng Zhu
School of Mathematical Sciences, East China Normal University, Shanghai 200241, China; Key Laboratory of Ministry of Education & Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, Shanghai 200241, China

1-28 pages
DOI: 10.1615/Int.J.UncertaintyQuantification.2025059731

A COPULA-BASED RANK HISTOGRAM ENSEMBLE FILTER Amit N. Subrahmanya, Julie Bessac, Andrey A. Popov, Adrian Sandu

Amit N. Subrahmanya
Computational Science Laboratory, Department of Computer Science, Virginia Tech

Julie Bessac
National Renewable Energy Laboratory, Golden, Colorado 80401, USA

Andrey A. Popov
Oden Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, Texas, 78712, USA; Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, Texas, 78712, USA

Adrian Sandu
Computational Science Laboratory, Department of Computer Science, Virginia Polytechnic Institute and State University, 2201 Knowledgeworks II, 2202 Kraft Drive, Blacksburg, Virginia 24060, USA

29-49 pages
DOI: 10.1615/Int.J.UncertaintyQuantification.2025060281

HYPERDIFFERENTIAL SENSITIVITY ANALYSIS WITH RESPECT TO MODEL DISCREPANCY: PRIOR DISTRIBUTIONS Joseph Hart, Bart van Bloemen Waanders, Jixian Li, Timbwaoga A. J. Ouermi, Chris R. Johnson

Joseph Hart
Sandia National Laboratories, Albuquerque, New Mexico, 87185, USA

Bart van Bloemen Waanders
Sandia National Laboratories, Albuquerque, New Mexico, 87185, USA

Jixian Li
Scientific Computing and Imaging Institute, University of Utah, Salt Lake City, Utah, 84112, USA

Timbwaoga A. J. Ouermi
Scientific Computing and Imaging Institute, University of Utah, Salt Lake City, Utah, 84112, USA

Chris R. Johnson
University of Utah, Scientific Computing and Imaging Institute, Salt Lake City, UT 84112, USA

51-77 pages
DOI: 10.1615/Int.J.UncertaintyQuantification.2025059589

ESTIMATING RARE EVENT PROBABILITIES WITH STEIN VARIATIONAL GRADIENT DESCENT Max Ehre, Iason Papaioannou, Daniel Straub

Max Ehre
Technical University of Munich

Iason Papaioannou
Technical University of Munich

Daniel Straub

79-100 pages
DOI: 10.1615/Int.J.UncertaintyQuantification.2025054946

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