Spectral Methods for Uncertainty Quantification

• Challenges in Stochastic Galerkin Methods for Nonlinear Hyperbolic Systems with Uncertainty

  2025 Springer eBooks conference-paper Decision Sciences Probabilistic and Robust Engineering Design

  0

  citations
• New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties

  2024 Communications on Applied Mathematics and Computation article Engineering Computational Fluid Dynamics and Aerodynamics Open access

  2

  citations
• Higher-Dimensional Deterministic Approach for Conservation Laws with Random Initial Data

  2024 SEMA SIMAI Springer series conference-paper Decision Sciences Probabilistic and Robust Engineering Design

  0

  citations
• Robust Feedback Stabilization of Interacting Multi-agent Systems Under Uncertainty

  2023 Applied Mathematics & Optimization article Engineering Stability and Control of Uncertain Systems Open access

  1

  citations
• Description of random level sets by polynomial chaos expansions

  2023 Communications in Mathematical Sciences article Decision Sciences Probabilistic and Robust Engineering Design Open access

  1

  citations
• QUANTIFYING UNCERTAIN SYSTEM OUTPUTS VIA THE MULTI-LEVEL MONTE CARLO METHOD-DISTRIBUTION AND ROBUSTNESS MEASURES

  2023 International Journal for Uncertainty Quantification article Decision Sciences Probabilistic and Robust Engineering Design Open access

  9

  citations
• Turnpike properties of optimal boundary control problems with random linear hyperbolic systems

  2023 ESAIM Control Optimisation and Calculus of Variations article Engineering Stability and Controllability of Differential Equations Open access

  3

  citations
• Overview on Uncertainty Quantification in Traffic Models via Intrusive Method

  2023 SEMA SIMAI Springer series conference-paper Engineering Traffic control and management

  2

  citations
• Uncertainty quantification in hierarchical vehicular flow models

  2022 Kinetic and Related Models article Engineering Traffic control and management Open access

  5

  citations
• Propagation of Uncertainties in Density-Driven Flow

  2021 Lecture notes in computational science and engineering book-chapter Environmental Science Groundwater flow and contamination studies Open access

  7

  citations
• Stability analysis of a hyperbolic stochastic Galerkin formulation for the Aw-Rascle-Zhang model with relaxation

  2021 Mathematical Biosciences & Engineering article Engineering Traffic control and management Open access

  13

  citations
• Feedback control for random, linear hyperbolic balance laws

  2020 arXiv (Cornell University) preprint Engineering Stability and Controllability of Differential Equations Open access

  0

  citations
• Multilevel weighted least squares polynomial approximation

  2020 ESAIM Mathematical Modelling and Numerical Analysis article Mathematics Mathematical Approximation and Integration Open access

  11

  citations
• Spectral methods to study the robustness of residual neural networks with infinite layers

  2020 Foundations of Data Science article Physics and Astronomy Model Reduction and Neural Networks Open access

  4

  citations

14 results