Approximation of high-dimensional parametric PDEs

• A Convergent Adaptive Finite Element Stochastic Galerkin Method Based on Multilevel Expansions of Random Fields

  2025 SIAM Journal on Numerical Analysis article Decision Sciences Probabilistic and Robust Engineering Design Open access

  1

  citations
• Variationally correct neural residual regression for parametric PDEs: on the viability of controlled accuracy

  2025 IMA Journal of Numerical Analysis article Physics and Astronomy Model Reduction and Neural Networks Open access

  7

  citations
• State estimation of urban air pollution with statistical, physical, and super-learning graph models

  2024 Advances in Computational Science and Engineering article Environmental Science Air Quality Monitoring and Forecasting Open access

  1

  citations
• Polynomial approximation of symmetric functions

  2023 Mathematics of Computation article Mathematics Mathematical Approximation and Integration Open access

  7

  citations
• Low-rank tensor methods for partial differential equations

  2023 Acta Numerica article Mathematics Tensor decomposition and applications Open access

  42

  citations
• An adaptive stochastic Galerkin method based on multilevel expansions of random fields: Convergence and optimality

  2022 ESAIM Mathematical Modelling and Numerical Analysis article Decision Sciences Probabilistic and Robust Engineering Design Open access

  6

  citations
• Complexity Analysis of stochastic gradient methods for PDE-constrained optimal Control Problems with uncertain parameters

  2021 ESAIM Mathematical Modelling and Numerical Analysis article Engineering Advanced Numerical Methods in Computational Mathematics Open access

  27

  citations
• A note on tools for prediction under uncertainty and identifiability of SIR-like dynamical systems for epidemiology

  2020 Mathematical Biosciences article Medicine Mathematical and Theoretical Epidemiology and Ecology Models Open access

  30

  citations

8 results