Spectral element multigrid. II. Theoretical justification. - Yvon Maday; Rafael Muñoz (J. Sci. Comput., 1988)

Numerical simulation of incompressible fluid flows. - George Anagnostou; Yvon Maday; Anthony T. Patera; Paul F. Fischer; Einar M. Rønquist (Concurr. Pract. Exp., 1991)

Analysis of Iterative Methods for the Steady and Unsteady Stokes Problem: Application to Spectral Element Discretizations. - Yvon Maday; Daniel I. Meiron; Anthony T. Patera; Einar M. Rønquist (SIAM J. Sci. Comput., 1993)

Inf-sup conditions for the mortar spectral element discretization of the Stokes problem. - Faker Ben Belgacem; Christine Bernardi; Nejmeddine Chorfi; Yvon Maday (Numerische Mathematik, 2000)

The Mortar Finite Element Method for 3D Maxwell Equations: First Results. - Faker Ben Belgacem; Annalisa Buffa; Yvon Maday (SIAM J. Numer. Anal., 2001)

A parallel in time approach for quantum control: the parareal algorithm. - Yvon Maday; Gabriel Turinici (CDC, 2002)

Towards efficient numerical approaches for quantum control. - Claude Le Bris; Yvon Maday; Gabriel Turinici (CRM Workshop, 2002)

Towards Reduced Basis Approaches in ab initio Electronic Structure Computations. - Eric Cancès; Claude Le Bris; Yvon Maday; Gabriel Turinici (J. Sci. Comput., 2002)

A Priori Convergence Theory for Reduced-Basis Approximations of Single-Parameter Elliptic Partial Differential Equations. - Yvon Maday; Anthony T. Patera; Gabriel Turinici (J. Sci. Comput., 2002)

A Reduced-Basis Element Method. - Yvon Maday; Einar M. Rønquist (J. Sci. Comput., 2002)

A new cement to glue non-conforming grids with Robin interface conditions: The finite volume case. - Yves Achdou; Caroline Japhet; Yvon Maday; Frédéric Nataf (Numerische Mathematik, 2002)

Padé-Jacobi Filtering for Spectral Approximations of Discontinuous Solutions. - L. Emmel; Sidi Mahmoud Kaber; Yvon Maday (Numer. Algorithms, 2003)

Error bars and quadratically convergent methods for the numerical simulation of the Hartree-Fock equations. - Yvon Maday; Gabriel Turinici (Numerische Mathematik, 2003)

The Mortar Edge Element Method in Three Dimensions: Application to Magnetostatics. - Frédéric Bouillault; Annalisa Buffa; Yvon Maday; Francesca Rapetti (SIAM J. Sci. Comput., 2003)

The Reduced Basis Element Method: Application to a Thermal Fin Problem. - Yvon Maday; Einar M. Rønquist (SIAM J. Sci. Comput., 2004)

Analysis of Some Padé-Chebyshev Approximants. - Sidi Mahmoud Kaber; Yvon Maday (SIAM J. Numer. Anal., 2005)

Linfinity-Stable Approximation of a Solution to Div(Y) = f for f element of L2 in Two Dimensions. - Yvon Maday (J. Sci. Comput., 2006)

Monotonic time-discretized schemes in quantum control. - Yvon Maday; Julien Salomon; Gabriel Turinici (Numerische Mathematik, 2006)

Monotonic Parareal Control for Quantum Systems. - Yvon Maday; Julien Salomon; Gabriel Turinici (SIAM J. Numer. Anal., 2007)

Homogenization of Elastic Media with Gaseous Inclusions. - L. Baffico; Céline Grandmont; Yvon Maday; Axel Osses (Multiscale Model. Simul., 2008)

A greedy algorithm for the identification of quantum systems. - Yvon Maday; Julien Salomon (CDC, 2009)

Fast Tensor-Product Solvers: Partially Deformed Three-dimensional Domains. - Tormod Bjøntegaard; Yvon Maday; Einar M. Rønquist (J. Sci. Comput., 2009)

Numerical Analysis of Nonlinear Eigenvalue Problems. - Eric Cancès; Rachida Chakir; Yvon Maday (J. Sci. Comput., 2010)

The lifting of polynomial traces revisited. - Christine Bernardi; Monique Dauge; Yvon Maday (Math. Comput., 2010)

Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations. - Yanlai Chen; Jan S. Hesthaven; Yvon Maday; Jerónimo Rodríguez (SIAM J. Sci. Comput., 2010)

The reduced basis method for the electric field integral equation. - M. Fares; Jan S. Hesthaven; Yvon Maday; Benjamin Stamm (J. Comput. Phys., 2011)

Periodic Schrödinger Operators with Local Defects and Spectral Pollution. - Eric Cancès; Virginie Ehrlacher; Yvon Maday (SIAM J. Numer. Anal., 2012)

Parareal in Time Intermediate Targets Methods for Optimal Control Problems. - Yvon Maday; Mohamed Kamel Riahi; Julien Salomon (Control and Optimization with PDE Constraints, 2013)

Stable Parareal in Time Method for First- and Second-Order Hyperbolic Systems. - Xiaoying Dai; Yvon Maday (SIAM J. Sci. Comput., 2013)

Locally Adaptive Greedy Approximations for Anisotropic Parameter Reduced Basis Spaces. - Yvon Maday; Benjamin Stamm (SIAM J. Sci. Comput., 2013)

Parareal in time 3D numerical solver for the LWR Benchmark neutron diffusion transient model. - Anne-Marie Baudron; Jean-Jacques Lautard; Yvon Maday; Mohamed Kamel Riahi; Julien Salomon (J. Comput. Phys., 2014)

Non-consistent approximations of self-adjoint eigenproblems: application to the supercell method. - Eric Cancès; Virginie Ehrlacher; Yvon Maday (Numerische Mathematik, 2014)

Robin Schwarz Algorithm for the NICEM Method: The $ mathbf{P}_q$ Finite Element Case. - Caroline Japhet; Yvon Maday; Frédéric Nataf (SIAM J. Numer. Anal., 2014)

Homogenization of a Model for the Propagation of Sound in the Lungs. - Paul Cazeaux; Céline Grandmont; Yvon Maday (Multiscale Model. Simul., 2015)

A perturbation-method-based post-processing for the planewave discretization of Kohn-Sham models. - Eric Cancès; Geneviève Dusson; Yvon Maday; Benjamin Stamm; Martin Vohralík (J. Comput. Phys., 2016)

Convergence analysis of the Generalized Empirical Interpolation Method. - Yvon Maday; Olga Mula; Gabriel Turinici (SIAM J. Numer. Anal., 2016)

A new method for reconstruction of cross-sections using Tucker decomposition. - Thi Hieu Luu; Yvon Maday; Matthieu Guillo; Pierre Guérin (J. Comput. Phys., 2017)

Guaranteed and Robust a Posteriori Bounds for Laplace Eigenvalues and Eigenvectors: Conforming Approximations. - Eric Cancès; Geneviève Dusson; Yvon Maday; Benjamin Stamm; Martin Vohralík (SIAM J. Numer. Anal., 2017)

Sensor placement in nuclear reactors based on the generalized empirical interpolation method. - Jean-Philippe Argaud; Bertrand Bouriquet; F. de Caso; Helin Gong; Yvon Maday; Olga Mula (J. Comput. Phys., 2018)

A stabilized POD model for turbulent flows over a range of Reynolds numbers: Optimal parameter sampling and constrained projection. - Lambert Fick; Yvon Maday; Anthony T. Patera; Tommaso Taddei (J. Comput. Phys., 2018)

An integral equation approach to calculate electrostatic interactions in many-body dielectric systems. - Eric B. Lindgren; Anthony J. Stace; Étienne Polack; Yvon Maday; Benjamin Stamm; Elena Besley (J. Comput. Phys., 2018)

Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework. - Eric Cancès; Geneviève Dusson; Yvon Maday; Benjamin Stamm; Martin Vohralík (Numerische Mathematik, 2018)

PBDW method for state estimation: error analysis for noisy data and nonlinear formulation. - Helin Gong; Yvon Maday; Olga Mula; Tommaso Taddei (CoRR, 2019)

L1-ROC and R2-ROC: L1- and R2-based Reduced Over-Collocation methods for parametrized nonlinear partial differential equations. - Yanlai Chen; Sigal Gottlieb; Lijie Ji; Yvon Maday; Zhenli Xu (CoRR, 2019)

Overcoming slowly decaying Kolmogorov n-width by transport maps: application to model order reduction of fluid dynamics and fluid-structure interaction problems. - Monica Nonino; Francesco Ballarin; Gianluigi Rozza; Yvon Maday (CoRR, 2019)

Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems. - Yvon Maday; Carlo Marcati (CoRR, 2019)

A non-intrusive reduced basis approach for parametrized heat transfer problems. - Rachida Chakir; Yvon Maday; Philippe Parnaudeau (J. Comput. Phys., 2019)

Adaptive PBDW Approach to State Estimation: Noisy Observations; User-Defined Update Spaces. - Yvon Maday; Tommaso Taddei (SIAM J. Sci. Comput., 2019)

A Domain Decomposition Method for the Poisson-Boltzmann Solvation Models. - Chaoyu Quan; Benjamin Stamm; Yvon Maday (SIAM J. Sci. Comput., 2019)

Epidemiological short-term Forecasting with Model Reduction of Parametric Compartmental Models. Application to the first pandemic wave of COVID-19 in France. - Athmane Bakhta; Thomas Boiveau; Yvon Maday; Olga Mula (CoRR, 2020)

An adaptive parareal algorithm. - Yvon Maday; Olga Mula (J. Comput. Appl. Math., 2020)

Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters. - Eric Cancès; Geneviève Dusson; Yvon Maday; Benjamin Stamm; Martin Vohralík (Math. Comput., 2020)

Error estimate of the Non Intrusive Reduced Basis method with finite volume schemes. - Elise Grosjean; Yvon Maday (CoRR, 2021)

An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation. - Yanlai Chen; Sigal Gottlieb; Lijie Ji; Yvon Maday (J. Comput. Phys., 2021)

Projection based semi-implicit partitioned Reduced Basis Method for non parametrized and parametrized Fluid-Structure Interaction problems. - Monica Nonino; Francesco Ballarin; Gianluigi Rozza; Yvon Maday (CoRR, 2022)

On an interior-exterior nonoverlapping domain decomposition method for the Poisson-Boltzmann equation. - Xuanyu Liu; Yvon Maday; Chaoyu Quan; Hui Zhang (CoRR, 2022)

Error estimate of the Non-Intrusive Reduced Basis (NIRB) two-grid method with parabolic equations. - Elise Grosjean; Yvon Maday (CoRR, 2022)

Neural-Network-Augmented Projection-Based Model Order Reduction for Mitigating the Kolmogorov Barrier to Reducibility of CFD Models. - Joshua L. Barnett; Charbel Farhat; Yvon Maday (CoRR, 2022)

A Flexible Smoother Adapted to Censored Data With Outliers and Its Application to SARS-CoV-2 Monitoring in Wastewater. - Marie Courbariaux; Nicolas Cluzel; Siyun Wang; Vincent Maréchal; Laurent Moulin; Sébastien Wurtzer; Jean-Marie Mouchel; Yvon Maday; Grégory Nuel (Frontiers Appl. Math. Stat., 2022)

Coupling Parareal with Optimized Schwarz Waveform Relaxation for Parabolic Problems. - Duc Quang Bui; Caroline Japhet; Yvon Maday; Pascal Omnes (SIAM J. Numer. Anal., 2022)

An overview of a posteriori error estimation and post-processingmethods for nonlinear eigenvalue problems. - Geneviève Dusson; Yvon Maday (CoRR, 2023)

Directed Message Passing Based on Attention for Prediction of Molecular Properties. - Chen Gong; Yvon Maday (CoRR, 2023)

Analysis of the Single Reference Coupled Cluster Method for Electronic Structure Calculations: The Discrete Coupled Cluster Equations. - Muhammad Hassan; Yvon Maday; Yipeng Wang 016 (CoRR, 2023)

A hybrid parareal Monte Carlo algorithm for parabolic problems. - Jad Dabaghi; Yvon Maday; Andrea Zoia (J. Comput. Appl. Math., 2023)

Projection Based Semi-Implicit Partitioned Reduced Basis Method for Fluid-Structure Interaction Problems. - Monica Nonino; Francesco Ballarin; Gianluigi Rozza; Yvon Maday (J. Sci. Comput., 2023)

An overview of a posteriori error estimation and post-processing methods for nonlinear eigenvalue problems. - Geneviève Dusson; Yvon Maday (J. Comput. Phys., 2023)

Analysis of the single reference coupled cluster method for electronic structure calculations: the full-coupled cluster equations. - Muhammad Hassan; Yvon Maday; Yipeng Wang 016 (Numerische Mathematik, 2023)

Neural-network-augmented projection-based model order reduction for mitigating the Kolmogorov barrier to reducibility. - Joshua Barnett 002; Charbel Farhat; Yvon Maday (J. Comput. Phys., 2023)

Nonlinear compressive reduced basis approximation for multi-parameter elliptic problem. - Christophe Prud'Homme; Yvon Maday; Hassan Ballout (CoRR, 2024)

An optimization-based discrete element model for dry granular flows: Application to granular collapse on erodible beds. - Hugo A. Martin; Anne Mangeney; Aline Lefebvre-Lepot; Bertrand Maury; Yvon Maday (J. Comput. Phys., 2024)

Convergence Analysis of a Solver for the Linear Poisson-Boltzmann Model. - Xuanyu Liu; Yvon Maday; Chaoyu Quan; Hui Zhang (SIAM J. Numer. Anal., 2025)

On the relation between Galerkin approximations and canonical best-approximations of solutions to some non-linear Schrödinger equations. - Muhammad Hassan; Yvon Maday; Yipeng Wang 016 (CoRR, 2025)