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Peng Chen
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Simulation‐based uncertainty quantification of human arterial network hemodynamics
P Chen, A Quarteroni, G Rozza
International journal for numerical methods in biomedical engineering 29 (6 …, 2013
912013
A weighted reduced basis method for elliptic partial differential equations with random input data
P Chen, A Quarteroni, G Rozza
SIAM Journal on Numerical Analysis 51 (6), 3163-3185, 2013
912013
Comparison between reduced basis and stochastic collocation methods for elliptic problems
P Chen, A Quarteroni, G Rozza
Journal of Scientific Computing 59 (1), 187-216, 2014
842014
Weighted reduced basis method for stochastic optimal control problems with elliptic PDE constraints
P Chen, A Quarteroni
SIAM/ASA J. Uncertainty Quantification 2 (1), 364–396, 2014
742014
Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations
P Chen, A Quarteroni, G Rozza
Numerische Mathematik 133 (1), 67-102, 2015
582015
Stochastic optimal Robin boundary control problems of advection-dominated elliptic equations
P Chen, A Quarteroni, G Rozza
SIAM Journal on Numerical Analysis 51 (5), 2700-2722, 2013
582013
Reduced basis methods for uncertainty quantification
P Chen, A Quarteroni, G Rozza
SIAM/ASA Journal on Uncertainty Quantification 5 (1), 813-869, 2017
562017
A new algorithm for high-dimensional uncertainty quantification based on dimension-adaptive sparse grid approximation and reduced basis methods
P Chen, A Quarteroni
Journal of Computational Physics 298, 176-193, 2015
512015
Projected Stein variational Newton: A fast and scalable Bayesian inference method in high dimensions
P Chen, K Wu, J Chen, T O'Leary-Roseberry, O Ghattas
Advances in Neural Information Processing Systems, 2019
472019
Sparse-grid, reduced-basis Bayesian inversion
P Chen, C Schwab
Computer Methods in Applied Mechanics and Engineering 297, 84-115, 2015
472015
Accurate and efficient evaluation of failure probability for partial different equations with random input data
P Chen, A Quarteroni
Computer Methods in Applied Mechanics and Engineering 267, 233-260, 2013
452013
Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty
P Chen, U Villa, O Ghattas
Journal of Computational Physics 385, 163-186, 2019
432019
Sparse-grid, reduced-basis Bayesian inversion: Nonaffine-parametric nonlinear equations
P Chen, C Schwab
Journal of Computational Physics 316, 470–503, 2016
412016
Hessian-based adaptive sparse quadrature for infinite-dimensional Bayesian inverse problems
P Chen, U Villa, O Ghattas
Computer Methods in Applied Mechanics and Engineering 327, 147–172, 2017
402017
A weighted empirical interpolation method: a priori convergence analysis and applications
P Chen, A Quarteroni, G Rozza
ESAIM: Mathematical Modelling and Numerical Analysis 48 (4), 943-953, 2014
372014
The lattice Boltzmann method for fluid dynamics: Theory and applications
C Peng
M. Math, Department of Mathematics, Ecole Polytechnique Federale de Lausanne …, 2011
342011
Projected Stein Variational Gradient Descent
P Chen, O Ghattas
Advances in Neural Information Processing Systems, 2020
302020
Derivative-informed projected neural networks for high-dimensional parametric maps governed by PDEs
T O’Leary-Roseberry, U Villa, P Chen, O Ghattas
Computer Methods in Applied Mechanics and Engineering 388, 114199, 2022
292022
Model order reduction methods in computational uncertainty quantification
P Chen, C Schwab
Handbook of Uncertainty Quantification, Springer, 2016
272016
Optimal design of acoustic metamaterial cloaks under uncertainty
P Chen, MR Haberman, O Ghattas
Journal of Computational Physics 431, 110114, 2021
262021
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