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Impact of physical model error on state estimation for neutronics applications

Yonah Conjungo Taumhas , David Labeurthre , François Madiot , Olga Mula , Tommaso Taddei
ESAIM: Proceedings and Surveys, In press
Article dans une revue cea-03884166v1

Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces

Virginie Ehrlacher , Damiano Lombardi , Olga Mula , François-Xavier Vialard
ESAIM: Mathematical Modelling and Numerical Analysis, 2020, 54 (6), pp.2159-2197. ⟨10.1051/m2an/2020013⟩
Article dans une revue hal-02290431v1
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Greedy algorithms for optimal measurements selection in state estimation using reduced models

Peter Binev , Albert Cohen , Olga Mula , James Nichols
SIAM/ASA Journal on Uncertainty Quantification, 2018, ⟨10.1137/17M1157635⟩
Article dans une revue hal-01638177v2

An optimal recovery formulation of data assimilation in haemodynamics

Damiano Lombardi , Olga Mula , Felipe Galarce Marin
Data Assimilation, LJLL, Sorbonne Université, Nov 2023, Paris, France
Communication dans un congrès hal-04392385v1
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Nonlinear reduced models for state and parameter estimation

Albert Cohen , Wolfgang Dahmen , Olga Mula , James Nichols
SIAM/ASA Journal on Uncertainty Quantification, 2022, 10, pp.227-267
Article dans une revue hal-03059879v1

Reconstructing Haemodynamics Quantities of Interest from Doppler Ultrasound Imaging

Felipe Galarce , Damiano Lombardi , Olga Mula
International Journal for Numerical Methods in Biomedical Engineering, 2020, ⟨10.1002/cnm.3416⟩
Article dans une revue hal-03037328v1
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A generalized empirical interpolation method : application of reduced basis techniques to data assimilation

Yvon Maday , Olga Mula
Springer. Analysis and Numerics of Partial Differential Equations, Springer, pp.221-235, 2013, Springer INdAM Series, ⟨10.1007/978-88-470-2592-9_13⟩
Chapitre d'ouvrage hal-00812913v1

Optimal reduced model algorithms for data-based state estimation

Albert Cohen , Wolfgang Dahmen , Ron Devore , Jalal Fadili , Olga Mula , et al.
SIAM Journal on Numerical Analysis, 2020, ⟨10.1137/19M1255185⟩
Article dans une revue hal-02404309v1

Nonlinear reduced models for state and parameter estimation

Albert Cohen , Wolfgang Dahmen , Olga Mula , James Nichols
2020
Pré-publication, Document de travail hal-02932983v1
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An Adaptive Parareal Algorithm

Yvon Maday , Olga Mula
Journal of Computational and Applied Mathematics, 2020, ⟨10.1016/j.cam.2020.112915⟩
Article dans une revue hal-01781257v2

PBDW method for state estimation: error analysis for noisy data and nonlinear formulation

Helin Gong , Yvon Maday , Olga Mula , Tommaso Taddei
2019
Pré-publication, Document de travail hal-02404316v1
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Stabilization of (G)EIM in presence of measurement noise: application to nuclear reactor physics

J. P. P Argaud , B. Bouriquet , H. Gong , Yvon Maday , Olga Mula
International Conference on Spectral and High Order Methods for Partial Differential Equations, Jun 2017, Rio de Janeiro, Brazil. pp.133--145, ⟨10.1007/978-3-319-65870-4_8⟩
Communication dans un congrès hal-01393704v1
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An optimal control framework for adaptive neural ODEs

Joubine Aghili , Olga Mula
2023
Pré-publication, Document de travail hal-02897466v2
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State estimation of urban air pollution with statistical, physical, and super-learning graph models

Matthieu Dolbeault , Olga Mula , Agustín Somacal
2024
Pré-publication, Document de travail hal-04455853v1
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Epidemiological Forecasting with Model Reduction of Compartmental Models. Application to the COVID-19 Pandemic

Athmane Bakhta , Thomas Boiveau , Yvon Maday , Olga Mula
Biology, 2020, 10 (1), pp.22. ⟨10.3390/biology10010022⟩
Article dans une revue hal-03117258v1
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Fast reconstruction of 3D blood flows from Doppler ultrasound images and reduced models

Felipe Galarce , Jean-Frédéric Gerbeau , Damiano Lombardi , Olga Mula
Computer Methods in Applied Mechanics and Engineering, 2021, ⟨10.1016/j.cma.2020.113559⟩
Article dans une revue hal-02403686v1
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Linear and Nonlinear Schemes for Forward and Inverse Problems

Olga Mula
General Mathematics [math.GM]. Université Paris Dauphine - PSL, 2021
HDR tel-03517584v1
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Nonlinear approximation spaces for inverse problems

Albert Cohen , Matthieu Dolbeault , Olga Mula , Agustin Somacal
2022
Pré-publication, Document de travail hal-03780952v2
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A priori convergence of the Generalized Empirical Interpolation Method.

Yvon Maday , Olga Mula , Gabriel Turinici
10th international conference on Sampling Theory and Applications (SampTA 2013), Jul 2013, Bremen, Germany, Germany. pp.168-171
Communication dans un congrès hal-00797271v3
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The generalized Empirical Interpolation Method: stability theory on Hilbert spaces with an application to the Stokes equation

Yvon Maday , Olga Mula , Anthony T. Patera , Masayuki Yano
Computer Methods in Applied Mechanics and Engineering, 2015, 287, pp.310 - 334. ⟨10.1016/j.cma.2015.01.018⟩
Article dans une revue hal-01032168v2
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MINARET or the quest towards the use of time-dependent neutron transport solvers for nuclear core calculations on a regular basis

Jean-Jacques Lautard , Yvon Maday , Olga Mula
SNA+ MC 2013-Joint International Conference on Supercomputing in Nuclear Applications+ Monte Carlo, Oct 2013, Paris, France. ⟨10.1051/snamc/201404103⟩
Communication dans un congrès hal-00992998v2
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The parareal in time algorithm applied to the kinetic neutron diffusion equation

Anne-Marie Baudron , Jean-Jacques Lautard , Yvon Maday , Olga Mula
21st International Conference on Domain Decomposition Methods, Jun 2012, Rennes, France
Communication dans un congrès hal-00908457v1
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Towards a fully scalable balanced parareal method: application to neutronics

Yvon Maday , Olga Mula , Mohamed-Kamel Riahi
2015
Pré-publication, Document de travail hal-01184303v1
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Sensor placement in nuclear reactors based on the generalized empirical interpolation method

J.-P. Argaud , B. P Bouriquet , F. de Caso , Helin Gong , Yvon Maday , et al.
Journal of Computational Physics, 2018, 363, pp.354-370. ⟨10.1016/j.jcp.2018.02.050⟩
Article dans une revue hal-01522987v2
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Deep learning-based schemes for singularly perturbed convection-diffusion problems

Adrien Beguinet , Virginie Ehrlacher , Roberta Flenghi , Maria Fuente-Ruiz , Olga Mula , et al.
2022
Pré-publication, Document de travail hal-03664049v1

An Adaptive Nested Source Term Iteration for Radiative Transfer Equations

Wolfgang Dahmen , Felix Gruber , Olga Mula
Mathematics of Computation, 2020, ⟨10.1090/mcom/3505⟩
Article dans une revue hal-01899058v1
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Initiative face au virus Observations sur la mobilité pendant l'épidémie de Covid-19

Jamal Atif , Olivier Cappé , Akin Kazakçi , Yannick Léo , Laurent Massoulié , et al.
[0] Université PSL. 2020
Rapport hal-02921194v1
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Convergence analysis of the Generalized Empirical Interpolation Method

Yvon Maday , Olga Mula , Gabriel Turinici
SIAM Journal on Numerical Analysis, 2016, 54 (3), pp.1713-1731. ⟨10.1137/140978843⟩
Article dans une revue hal-01032458v2

Homogenization in the energy variable for a neutron transport model

Harsha Hutridurga , Olga Mula , Francesco Salvarani
Asymptotic Analysis, 2019, pp.1-25. ⟨10.3233/ASY-191544⟩
Article dans une revue hal-02403678v1
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Initiative face au virus. Regards croisés sur l'épidemie de Covid-19 apportés par les données sanitaires et de géolocalisation (mars à octobre 2020)

Jamal Atif , Bertrand Cabot , Olivier Cappé , Olga Mula , Rafael Pinot
[Rapport de recherche] Université PSL; Inria; CNRS. 2020
Rapport hal-03084832v1