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• Uncertainty Quantification of Phase Transition Problems with an Injection Boundary

  Zhenyi Zhang, Shengbo Ma, Zhennan Zhou

  2026-02-15

  4027 122 Pages:578-614

• Uncertainty Quantification for Charge Transport in GNRs Through Particle Galerkin Methods for the Semiclassical Boltzmann Equation

  Andrea Medaglia, Giovanni Nastasi, Vittorio Romano, Mattia Zanella

  2025-04-27

  9277 564 Pages:1055-1084

• Adaptive Locally Weighted Projection Regression Method for Uncertainty Quantification

  Peng Chen, Nicholas Zabaras

  2013-10-05

  39327 4167 Pages:851-878

• A Compressed Sensing Approach for Partial Differential Equations with Random Input Data

  L. Mathelin, K. A. Gallivan

  2012-12-01

  40701 4140 Pages:919-954

• Uncertainty Quantification of Density Reconstruction Using MCMC Method in High-Energy X-ray Radiography

  Xinge Li, Haibo Xu, Na Zheng, Qinggang Jia, Tongxiang Gu, Suhua Wei

  2020-05-06

  49453 3567 Pages:1485-1504

• A Neural Network Approach to Sampling Based Learning Control for Quantum System with Uncertainty

  Jingshi Li, Song Chen, Yanzhao Cao, Zhao Sun

  2021-10-26

  47322 3405 Pages:1453-1473

• A TVD Uncertainty Quantification Method with Bounded Error Applied to Transonic Airfoil Flutter

  Jeroen A. S. Witteveen, Hester Bijl

  2018-03-24

  37345 4040 Pages:406-432

• Distributional Sensitivity for Uncertainty Quantification

  Akil Narayan, Dongbin Xiu

  2011-10-01

  39019 4407 Pages:140-160

• Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs

  Lei Ma, Rongxin Li, Fanhai Zeng, Ling Guo, George Em Karniadakis

  2023-11-08

  32039 2870 Pages:1133-1176

• DAFI: An Open-Source Framework for Ensemble-Based Data Assimilation and Field Inversion

  Carlos A. Michelén Ströfer, Xin-Lei Zhang, Heng Xiao

  2021-03-24

  47088 3257 Pages:1583-1622

• On the Choice of Design Points for Least Square Polynomial Approximations with Application to Uncertainty Quantification

  Zhen Gao, Tao Zhou

  2014-08-03

  42519 4177 Pages:365-381

• Conditional Simulation of Flow in Heterogeneous Porous Media with the Probabilistic Collocation Method

  Heng Li

  2014-10-08

  41395 4126 Pages:1010-1030

• Efficient Collocational Approach for Parametric Uncertainty Analysis

  D. Xiu

  2018-03-24

  41696 4485 Pages:293-309

• Particle Based gPC Methods for Mean-Field Models of Swarming with Uncertainty

  Jose Antonio Carrillo, Lorenzo Pareschi, Mattia Zanella

  2018-10-11

  50561 5053 Pages:508-531 Open-access

• Parameter Identification in Uncertain Scalar Conservation Laws Discretized with the Discontinuous Stochastic Galerkin Scheme

  Louisa Schlachter, Claudia Totzeck

  2020-08-27

  48409 3042 Pages:1585-1608

• Numerical Solution of Partial Differential Equations in Random Domains: An Application to Wind Engineering

  Claudio Canuto, Davide Fransos

  2018-04-11

  41841 3786 Pages:515-531

• An $hp$-Adaptive Minimum Action Method Based on a Posteriori Error Estimate

  Xiaoliang Wan, Bin Zheng, Guang Lin

  2018-08-21

  47023 3166 Pages:408-439

• A Gradient-Enhanced $ℓ_1$ Approach for the Recovery of Sparse Trigonometric Polynomials

  Zhiqiang Xu, Tao Zhou

  2018-09-17

  49395 5349 Pages:286-308

• Physics-Constrained, Data-Driven Discovery of Coarse-Grained Dynamics

  Lukas Felsberger, Phaedon-Stelios Koutsourelakis

  2019-01-10

  48762 5411 Pages:1259-1301

• Analysis and Application of Single Level, Multi-Level Monte Carlo and Quasi-Monte Carlo Finite Element Methods for Time-Dependent Maxwell's Equations with Random Inputs

  Xiang Wang, Jichun Li, Zhiwei Fang

  2020-11-26

  46322 4277 Pages:211-236

• Cholesky-Based Experimental Design for Gaussian Process and Kernel-Based Emulation and Calibration

  Helumt Harbrecht, John D. Jakeman, Peter Zaspel

  2021-02-25

  46066 3220 Pages:1152-1185

• Stochastic Collocation on Unstructured Multivariate Meshes

  Akil Narayan, Tao Zhou

  2018-04-03

  42997 5339 Pages:1-36

• Multilevel Markov Chain Monte Carlo Method for High-Contrast Single-Phase Flow Problems

  Yalchin Efendiev, Bangti Jin, Michael Presho, Xiaosi Tan

  2018-04-02

  42895 4759 Pages:259-286

• A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

  Kailiang Wu, Dongbin Xiu, Xinghui Zhong

  2021-05-25

  49108 3204 Pages:423-447

• VAE-KRnet and Its Applications to Variational Bayes

  Xiaoliang Wan, Shuangqing Wei

  2022-03-30

  52391 3287 Pages:1049-1082

• Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations

  Stephan Gerster, Michael Herty

  2020-07-30

  48361 5794 Pages:639-671 Open-access