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Journal articles20 documents

  • David Sampedro-Puente, Fabien Raphel, Jesus Fernandez-Bes, Pablo Laguna, Damiano Lombardi, et al.. Characterization of Spatio-Temporal Cardiac Action Potential Variability at Baseline and under $β$-Adrenergic Stimulation by Combined Unscented Kalman Filter and Double Greedy Dimension Reduction. IEEE Journal of Biomedical and Health Informatics, Institute of Electrical and Electronics Engineers, In press. ⟨hal-02532554⟩
  • Julien Ratelade, Nicholas Klug, Damiano Lombardi, Monara Kaelle Servulo Cruz Angelim, Fabrice Dabertrand, et al.. Reducing Hypermuscularization of the Transitional Segment between Arterioles and Capillaries Protects Against Spontaneous Intracerebral Hemorrhage. Circulation, American Heart Association, 2020, 141 (25), pp.2078-2094. ⟨10.1161/CIRCULATIONAHA.119.040963⟩. ⟨inserm-02511921⟩
  • Jean-Frédéric Gerbeau, Damiano Lombardi, Eliott Tixier. A moment-matching method to study the variability of phenomena described by partial differential equations. SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2018, 40 (3). ⟨hal-01391254⟩
  • Eliott Tixier, Fabien Raphel, Damiano Lombardi, Jean-Frédéric Gerbeau. Composite biomarkers derived from Micro-Electrode Array measurements and computer simulations improve the classification of drug-induced channel block. Frontiers in Physiology, Frontiers, 2018, 8 (1096), pp.1-30. ⟨10.3389/fphys.2017.01096⟩. ⟨hal-01570819v3⟩
  • Matteo Aletti, Damiano Lombardi. A Reduced Order representation of the Poincaré-Steklov operator: an application to coupled multi-physics problems. International Journal for Numerical Methods in Engineering, Wiley, 2017. ⟨hal-01396286⟩
  • Virginie Ehrlacher, Damiano Lombardi. A dynamical adaptive tensor method for the Vlasov-Poisson system. Journal of Computational Physics, Elsevier, 2017, 319, pp.285-306. ⟨10.1016/⟩. ⟨hal-01335507⟩
  • Eliott Tixier, Damiano Lombardi, Blanca Rodriguez, Jean-Frédéric Gerbeau. Modeling Variability in Cardiac Electrophysiology: A Moment Matching Approach. Journal of the Royal Society Interface, the Royal Society, 2017, 14 (133), ⟨10.1098/rsif.2017.0238⟩. ⟨hal-01570828⟩
  • Damiano Lombardi, Sanjay Pant. A non-parametric k-nearest neighbor entropy estimator. Physical Review E , American Physical Society (APS), 2016, ⟨10.1103/PhysRevE.93.013310⟩. ⟨hal-01272527⟩
  • Matteo Aletti, Jean-Frédéric Gerbeau, Damiano Lombardi. A simplified fluid-structure model for arterial flow. Application to retinal hemodynamics. Computer Methods in Applied Mechanics and Engineering, Elsevier, 2016, 306, pp.77-94. ⟨10.1016/j.cma.2016.03.044⟩. ⟨hal-01296940⟩
  • Matteo Aletti, Jean-Frédéric Gerbeau, Damiano Lombardi. Modeling autoregulation in three-dimensional simulations of retinal hemodynamics. Journal for Modeling in Ophthalmology, Kugler Publications, 2015, 1. ⟨hal-01242748⟩
  • Sanjay Pant, Damiano Lombardi. An information-theoretic approach to assess practical identifiability of parametric dynamical systems. Mathematical Biosciences, Elsevier, 2015, pp.66-79. ⟨10.1016/j.mbs.2015.08.005⟩. ⟨hal-01099901⟩
  • Damiano Lombardi, Emmanuel Maitre. Eulerian models and algorithms for unbalanced optimal transport. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2015, Special Issue - Optimal Transport, 49 (6), pp.1717-1744. ⟨10.1051/m2an/2015025⟩. ⟨hal-00976501v3⟩
  • Jean-Frédéric Gerbeau, Damiano Lombardi, Elisa Schenone. Reduced order model in cardiac electrophysiology with approximated Lax pairs. Advances in Computational Mathematics, Springer Verlag, 2015, 41 (5), pp.1103-1130. ⟨10.1007/s10444-014-9393-9⟩. ⟨hal-01093488v2⟩
  • Angelo Iollo, Damiano Lombardi. Advection modes by optimal mass transfer. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2014, 89, pp.022923. ⟨10.1103/PhysRevE.89.022923⟩. ⟨hal-00992346⟩
  • Jean-Frédéric Gerbeau, Damiano Lombardi. Approximated Lax Pairs for the Reduced Order Integration of Nonlinear Evolution Equations. Journal of Computational Physics, Elsevier, 2014, 265, pp.246-269. ⟨10.1016/⟩. ⟨hal-00933172⟩
  • Thierry Colin, Francois Cornelis, Olivier Saut, Patricio Cumsille, Damiano Lombardi, et al.. In vivo mathematical modeling of tumor growth from imaging data : soon to come in the future ?. Diagnostic and Interventional Imaging, Elsevier, 2013, pp.571-574. ⟨hal-01038054⟩
  • Damiano Lombardi. Inverse problems in 1D hemodynamics on systemic networks: a sequential approach. International Journal for Numerical Methods in Biomedical Engineering, John Wiley and Sons, 2013, ⟨10.1002/cnm.2596⟩. ⟨hal-00860080⟩
  • Thierry Colin, Angelo Iollo, Damiano Lombardi, Olivier Saut. Prediction of the Evolution of Thyroidal Lung Nodules Using a Mathematical Model. ERCIM News, ERCIM, 2012, 82, pp.37-38. ⟨hal-01038030⟩
  • Damiano Lombardi, Angelo Iollo, Thierry Colin, Olivier Saut. Inverse Problems in tumor growth modeling by means of semiempirical eigenfunctions. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2012, pp.1. ⟨hal-00664723⟩
  • Damiano Lombardi, Angelo Iollo. A Lagrangian Scheme for the Solution of the Optimal Mass Transfer Problem. Journal of Computational Physics, Elsevier, 2011, 230, pp.3430:3442. ⟨hal-00664718⟩

Book sections2 documents

  • Michel Bergmann, Thierry Colin, Angelo Iollo, Damiano Lombardi, Olivier Saut, et al.. Reduced Order Models at work. Quarteroni, Alfio. Modeling, Simulation and Applications, 9, Springer, 2013. ⟨hal-00906908⟩
  • Damiano Lombardi, Thierry Colin, Angelo Iollo, Olivier Saut, Françoise Bonichon, et al.. Some models for the prediction of tumor growth: general framework and applications to metastases in the lung. Computational Surgery, Springer, pp.1, 2012. ⟨hal-00664725⟩

Preprints, Working Papers, ...11 documents

  • Virginie Ehrlacher, Laura Grigori, Damiano Lombardi, Hao Song. Adaptive hierarchical subtensor partitioning for tensor compression. 2019. ⟨hal-02284456⟩
  • Aurélien Alfonsi, Rafaël Coyaud, Virginie Ehrlacher, Damiano Lombardi. Approximation of Optimal Transport problems with marginal moments constraints. 2019. ⟨hal-02128374⟩
  • Damiano Lombardi, Fabien Raphel. A greedy dimension reduction method for classification problems. 2019. ⟨hal-02280502⟩
  • Felipe Galarce, Jean-Frédéric Gerbeau, Damiano Lombardi, Olga Mula. State estimation with nonlinear reduced models. Application to the reconstruction of blood flows with Doppler ultrasound images. 2019. ⟨hal-02403686⟩
  • Virginie Ehrlacher, Damiano Lombardi, Olga Mula, François-Xavier Vialard. Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces. 2019. ⟨hal-02290431⟩
  • Fabien Raphel, Tessa de Korte, Damiano Lombardi, Stefan Braam, Jean-Frédéric Gerbeau. A greedy classifier optimisation strategy to assess ion channel blocking activity and pro-arrhythmia in hiPSC-cardiomyocytes. 2019. ⟨hal-02276945⟩
  • Jean-Frédéric Gerbeau, Damiano Lombardi, Eliott Tixier. How to choose biomarkers in view of parameter estimation. 2018. ⟨hal-01811158⟩
  • Eric Cancès, Virginie Ehrlacher, David Gontier, Antoine Levitt, Damiano Lombardi. Numerical quadrature in the Brillouin zone for periodic Schrödinger operators. 2018. ⟨hal-01796582⟩
  • Athmane Bakhta, Damiano Lombardi. An a posteriori error estimator based on shifts for positive hermitian eigenvalue problems. 2017. ⟨hal-01584180⟩
  • Jean-Frédéric Gerbeau, Damiano Lombardi, Elisa Schenone. Approximated lax pairs and empirical interpolation for nonlinear parabolic partial differential equations . 2016. ⟨hal-01278778⟩
  • Damiano Lombardi, Sanjay Pant. A non-parametric k-nearest neighbour entropy estimator. 2015. ⟨hal-01166056⟩

Reports2 documents

  • Angelo Iollo, Damiano Lombardi. Advection Modes by Optimal Mass Transfer. [Research Report] 2012, pp.33. ⟨hal-00669693⟩
  • Jean-Frédéric Gerbeau, Damiano Lombardi. Reduced-Order Modeling based on Approximated Lax Pairs. [Research Report] RR-8137, INRIA. 2012, pp.21. ⟨hal-00752810⟩