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2024. 15th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, Linz, Austria, 2022-07-17 – 2022-07-21. p. 259 – 275. DOI : 10.1007/978-3-031-59762-6_12.Multilevel quadrature formulae for the optimal control of random PDEs
2024
Petrov-Galerkin Dynamical Low Rank Approximation: SUPG stabilisation of advection-dominated problems
2024.A Combination Technique for Optimal Control Problems Constrained by Random PDEs
SIAM/ASA Journal on Uncertainty Quantification. 2024. Vol. 12, num. 2, p. 693 – 721. DOI : 10.1137/22M1532263.Error estimates for SUPG-stabilised Dynamical Low Rank Approximations
2024.Gradient-based optimisation of the conditional-value-at-risk using the multi-level Monte Carlo method
Journal of Computational Physics. 2023. Vol. 495, num. 112523. DOI : 10.1016/j.jcp.2023.112523.A new method to interpolate POD reduced bases-Application to the parametric model order reduction of a gas bearings supported rotor
International Journal For Numerical Methods In Engineering. 2023. DOI : 10.1002/nme.7305.Analysis of a Class of Multilevel Markov Chain Monte Carlo Algorithms Based on Independent Metropolis–Hastings
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Lausanne, EPFL, 2022.Dynamical low rank approximation for uncertainty quantification of time-dependent problems
Lausanne, EPFL, 2022.HIERARCHICAL MARKOV CHAIN MONTE CARLO METHODS FOR BAYESIAN INVERSE PROBLEMS
Lausanne, EPFL, 2022.Uncertainty Quantification by Multilevel Monte Carlo and Local Time-Stepping for Wave Propagation
SIAM/ASA Journal on Uncertainty Quantification. 2022. Vol. 10, num. 4, p. 1601 – 1628. DOI : 10.1137/21M1429047.Some first results on the consistency of spatial regression with partial differential equation regularization
Statistica Sinica. 2022. Vol. 32, num. 1, p. 209 – 238. DOI : 10.5705/ss.202019.0346.Filtered data and eigenfunction estimators for statistical inference of multiscale and interacting diffusion processes
Lausanne, EPFL, 2022.Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification
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2021
Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates
ESAIM: Mathematical Modelling and Numerical Analysis. 2021. Vol. 55, num. 5, p. 1895 – 1920. DOI : 10.1051/m2an/2021040.Generalized parallel tempering on Bayesian inverse problems
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Lausanne, EPFL, 2021.A Posteriori Error Estimation for the Stochastic Collocation Finite Element Approximation of the Heat Equation with Random Coefficients
2021. Sparse Grids and Applications, Munich, 2018. DOI : 10.1007/978-3-030-81362-8_6.Frequency-Domain Non-intrusive Greedy Model Order Reduction Based on Minimal Rational Approximation
2021. 13th International Conference on Scientific Computing in Electrical Engineering (SCEE), Eindhoven, NETHERLANDS, Feb 16-20, 2020. p. 159 – 167. DOI : 10.1007/978-3-030-84238-3_16.PDE-Constrained Optimal Control Problems with Uncertain Parameters using SAGA
SIAM/ASA Journal on Uncertainty Quantification. 2021. Vol. 9, num. 3, p. 979 – 1012. DOI : 10.1137/18M1224076.Integration of activation maps of epicardial veins in computational cardiac electrophysiology
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2020
Frequency-domain non-intrusive greedy Model Order Reduction based on minimal rational approximation
13th International Conference on Scientific Computing in Electrical Engineering, Eindhoven, Netherlands, February 16-20, 2020.MATHICSE Technical Report : A Multilevel Stochastic Gradient method for PDE-constrained Optimal Control Problems with uncertain parameters
2020
Multilevel weighted least squares polynomial approximation
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Lausanne, EPFL, 2019.Sparse approximation of multilinear problems with applications to kernel-based methods in UQ
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SIAM/ASA Journal on Uncertainty Quantification. 2018. Vol. 6, num. 3, p. 1256 – 1293. DOI : 10.1137/17M1135566.A theoretical study of COmpRessed SolvING for advection-diffusion-reaction problems
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SIAM Journal on Numerical Analysis. 2018. Vol. 56, num. 5, p. 3121 – 3143. DOI : 10.1137/17M1155454.Uncertainty Quantification of geochemical and mechanical compaction in layered sedimentary basins
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2017
A posteriori error estimation for the steady Navier-Stokes equations in random domains
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2017. 18th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Denver, Colorado, USA, 5-9 June 2017. DOI : 10.2514/6.2017-3329.Dynamical Low Rank approximation of PDEs with random parameters
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Sparse Grids and Applications – Stuttgart 2014; Berlin: Springer, 2016. p. 191 – 220.Multi-index Monte Carlo: when sparsity meets sampling
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Lausanne, EPFL, 2016.Efficient approximation of the contact area between rough surfaces
Engineering Mechanics Institute International Conference, Metz, France, October 25-27, 2016.Optimization of mesh hierarchies in multilevel Monte Carlo samplers
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2016. AIAA Aviation – 46th AIAA Fluid Dynamics Conference, Washington, D.C, 13-17 June 2016. DOI : 10.2514/6.2016-4398.Numerical Approximation of Flows in Random Porous Media
Lausanne, EPFL, 2016.Numerical methods for random and stochastic partial differential equations
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2015. ENUMATH 2013, Lausanne, August 26-30, 2013. p. 547 – 554. DOI : 10.1007/978-3-319-10705-9_54.Numerical Mathematics and Advanced Applications – ENUMATH 2013
2015.A continuation multilevel Monte Carlo algorithm
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Encyclopedia of Applied and Computational Mathematics; 2015. p. 51 – 58.Comparison of Clenshaw-Curtis and Leja Quasi-Optimal Sparse Grids for the Approximation of Random PDEs
2015. International Conference on Spectral and High-Order Methods 2014 (ICOSAHOM’14), Salt Lake City, June 23-27, 2014. p. 475 – 482. DOI : 10.1007/978-3-319-19800-2_44.Analysis and computation of the elastic wave equation with random coefficients
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SIAM/ASA Journal of Uncertainty Quantification. 2015. Vol. 3, num. 1, p. 393 – 416. DOI : 10.1137/140968938.Error Analysis of the Dynamically Orthogonal Approximation of Time Dependent Random PDEs
Siam Journal on Scientific Computing. 2015. Vol. 37, num. 2, p. A776 – A810. DOI : 10.1137/140967787.Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets
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Applied Mathematics. 2014. Vol. 5, p. 2476 – 2484. DOI : 10.4236/am.2014.516239.Computational generation of the Purkinje network driven by clinical measurements: The case of pathological propagations
International Journal for Numerical Methods in Biomedical Engineering. 2014. Vol. 30, num. 12, p. 1558 – 1577. DOI : 10.1002/cnm.2689.A quasi-optimal sparse grids procedure for groundwater flows
2014. International Conference on Spectral and High-Order Methods 2012 (ICOSAHOM’12), Gammarth, Tunisia, June 25-29, 2012. p. 1 – 16. DOI : 10.1007/978-3-319-01601-6_1.Perturbation analysis for the Darcy problem with log-normal permeability
SIAM/ASA Journal on Uncertainty Quantification. 2014. Vol. 2, num. 1, p. 223 – 244. DOI : 10.1137/130949415.Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients
Computers and Mathematics with Applications. 2014. Vol. 67, num. 4, p. 732 – 751. DOI : 10.1016/j.camwa.2013.03.004.Mixed Finite Elements for spatial regression with PDE penalization
SIAM/ASA Journal on Uncertainty Quantification. 2014. Vol. 2, num. 1, p. 305 – . DOI : 10.1137/130925426.Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations
Foundations of Computational Mathematics. 2014. Vol. 14, num. 3, p. 419 – 456. DOI : 10.1007/s10208-013-9186-4.Patient-specific generation of the Purkinje network driven by clinical measurements of a normal propagation
Medical & Biological Engineering & Computing. 2014. Vol. 52, num. 10, p. 813 – 826. DOI : 10.1007/s11517-014-1183-5.Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics
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IMA Journal of Numerical Analysis. 2014. Vol. 34, num. 4, p. 1328 – 1360. DOI : 10.1093/imanum/drt041.Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces
SIAM Journal on Scientific Computing. 2013. Vol. 35, num. 3, p. A1440 – A1460. DOI : 10.1137/120897109.Time accurate partitioned algorithms for the solution of fluid-structure interaction problems in haemodynamics
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Milan Journal Of Mathematics. 2012. Vol. 80, num. 2, p. 443 – 467. DOI : 10.1007/s00032-012-0194-7.An active strain electromechanical model for cardiac tissue
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2012