A5089357934- Advanced Numerical Methods in Computational Mathematics
- Model Reduction and Neural Networks
- Electromagnetic Simulation and Numerical Methods
- Numerical methods for differential equations
- Numerical methods in engineering
- Advanced Mathematical Modeling in Engineering
- Computational Fluid Dynamics and Aerodynamics
- Matrix Theory and Algorithms
- Probabilistic and Robust Engineering Design
- Numerical methods in inverse problems
- Differential Equations and Numerical Methods
- SARS-CoV-2 detection and testing
- Electromagnetic Scattering and Analysis
- SARS-CoV-2 and COVID-19 Research
- Differential Equations and Boundary Problems
- Fluid Dynamics and Turbulent Flows
- Advanced Chemical Physics Studies
- Quantum Computing Algorithms and Architecture
- COVID-19 epidemiological studies
- Advanced Numerical Analysis Techniques
- Meteorological Phenomena and Simulations
- Landslides and related hazards
- Fluid Dynamics and Vibration Analysis
- Protein Structure and Dynamics
- Biosensors and Analytical Detection
Sorbonne Université
2016-2025
Laboratoire Jacques-Louis Lions
2016-2025
Institut Universitaire de France
2016-2025
Centre National de la Recherche Scientifique
2015-2024
Université Paris Cité
2004-2024
Scuola Internazionale Superiore di Studi Avanzati
2023
Deleted Institution
2022-2023
Centre de Recherche Saint-Antoine
2021
Inserm
2021
Massachusetts Institute of Technology
1990-2020
In this paper, we extend the reduced-basis approximations developed earlier for linear elliptic and parabolic partial differential equations with affine parameter dependence to problems involving (a) nonaffine on parameter, (b) nonlinear field variable. The method replaces terms a coefficient function approximation which then permits an efficient offline-online computational decomposition. We first review procedure: essential ingredients are (i) good collateral space, (ii) stable inexpensive...
IntroductionSevere acute respiratory syndrome coronavirus 2 (SARS-CoV-2) is the etiological agent of disease (COVID-19). People infected with SARS-CoV-2 may exhibit no or mild non-specific symptoms; thus, they contribute to silent circulation virus among humans. Since RNA can be detected in stool samples, monitoring waste water (WW) has been proposed as a complementary tool investigate human populations.AimTo test if quantification genomes WW correlates number symptomatic non-symptomatic...
Summary SARS-CoV-2 is the etiological agent of COVID-19. Most carriers are assumed to exhibit no or mild non-specific symptoms. Thus, they may contribute rapid and mostly silent circulation virus among humans. Since can be detected in stool samples it has recently been proposed monitor wastewaters (WW) as a complementary tool investigate human populations. In present work we that quantification genomes should correlate with number symptomatic non-symptomatic carriers. To test this...
The convergence and efficiency of the reduced basis method used for approximation solutions to a class problems written as parametrized PDE depends heavily on choice elements that constitute “reduced basis”. purpose this paper is analyze priori one approaches selection these elements, greedy algorithm. Under natural hypothesis set all problem obtained when parameter varies, we prove three algorithms converge; last algorithm, based use an posteriori estimator, approach actually employed in...
Tinker-HP is massively parallel software dedicated to polarizable molecular dynamics.
The NonCovalent Interaction index (NCI) enables identification of attractive and repulsive noncovalent interactions from promolecular densities in a fast manner. However, the approach remained up to now qualitative, only providing visual information. We present new version NCIPLOT, NCIPLOT4, which allows quantifying properties NCI regions (volume, charge) small big systems Examples are provided how this twist characterization retrieval local information supramolecular chemistry biosystems at...
Lagrangian interpolation is a classical way to approximate generalfunctions by finite sums of well chosen, pre-defined, linearlyindependent interpolating functions; it much simpler implement thandetermining the best fits with respect some Banach (or even Hilbert)norms. In addition, only partial knowledge required (here values on someset points). The problem defining sample points isnevertheless rather complex and in general open. this paper wepropose derive such sets points. We do not claim...
Summary We present a parameterized‐background data‐weak (PBDW) formulation of the variational data assimilation (state estimation) problem for systems modeled by partial differential equations. The main contributions are constrained optimization weak framework informed notion experimentally observable spaces; priori and posteriori error estimates field associated linear‐functional outputs; greedy construction prior (background) spaces with an underlying potentially high‐dimensional...
Abstract Noncovalent interactions are of utmost importance. However, their accurate treatment is still difficult. This partially induced by the coexistence many types and physical phenomena, which hampers generality in simple treatments. The NCI index has been successfully used for nearly over 10 years order to identify, analyze, understand noncovalent a wide variety systems, ranging from proteins molecular crystals. In this work, development implications method will be reviewed, modern...
We present a reduced basis technique for long-time integration of parametrized incompressible turbulent flows. The new contributions are threefold. First, we propose constrained Galerkin formulation that corrects the standard statement by incorporating prior information about attractor. For explicit and semi-implicit time discretizations, our reads as quadratic programming problem where objective function is Euclidean norm error in (algebraic) formulation, while constraints correspond to...
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In this paper, the Legendre spectral viscosity (SV) method for approximate solution of initial boundary value problems associated with nonlinear conservation laws is studied. The authors prove that by adding a small amount SV, bounded solutions SV converge to exact scalar entropy solution. convergence proof based on compensated compactness arguments, and therefore applies certain $2 \times 2$ systems. Finally, numerical experiments as well one-dimensional system gas dynamics equations are...
A mixed problem and its approximation in an abstract framework are considered. They proved to be well posed if only several inf-sup conditions satisfied. These results applied the Stokes equations a square, formulated Chebyshev weighted Sobolev spaces their approximations. Two kinds of spectral discretizations analyzed: Galerkin method collocation at nodes.