D-Index & Metrics Best Publications
Mathematics
France
2022

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 71 Citations 17,788 276 World Ranking 117 National Ranking 10

Research.com Recognitions

Awards & Achievements

2022 - Research.com Mathematics in France Leader Award

2003 - Member of the European Academy of Sciences

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Partial differential equation

Yvon Maday mainly investigates Mathematical analysis, Partial differential equation, Discretization, Applied mathematics and Numerical analysis. His Mathematical analysis research is multidisciplinary, relying on both Finite element method and Nonlinear system. The Partial differential equation study combines topics in areas such as Runge–Kutta methods, Linear equation and Pressure-correction method.

His work carried out in the field of Discretization brings together such families of science as Iterative method, Interval, Constant, Navier–Stokes equations and Solver. Yvon Maday has included themes like Basis, Domain decomposition methods, Parareal, Mathematical optimization and Domain in his Applied mathematics study. His studies in Numerical analysis integrate themes in fields like Fourier transform, Fictitious domain method and Ground state.

His most cited work include:

  • An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations (926 citations)
  • Reliable Real-Time Solution of Parametrized Partial Differential Equations: Reduced-Basis Output Bound Methods (401 citations)
  • EFFICIENT REDUCED-BASIS TREATMENT OF NONAFFINE AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS (333 citations)

What are the main themes of his work throughout his whole career to date?

Mathematical analysis, Applied mathematics, Discretization, Partial differential equation and Domain decomposition methods are his primary areas of study. His Mathematical analysis research integrates issues from Finite element method and Galerkin method. His Finite element method study deals with Mortar intersecting with Element.

His Applied mathematics study integrates concerns from other disciplines, such as Eigenvalues and eigenvectors, Mathematical optimization, Domain and Interpolation. In his study, which falls under the umbrella issue of Partial differential equation, Basis function is strongly linked to Basis. His Domain decomposition methods study combines topics in areas such as Algorithm, Iterative method and Statistical physics.

He most often published in these fields:

  • Mathematical analysis (47.07%)
  • Applied mathematics (42.44%)
  • Discretization (28.54%)

What were the highlights of his more recent work (between 2017-2021)?

  • Basis (24.39%)
  • Applied mathematics (42.44%)
  • Eigenvalues and eigenvectors (15.12%)

In recent papers he was focusing on the following fields of study:

Yvon Maday mostly deals with Basis, Applied mathematics, Eigenvalues and eigenvectors, Mathematical analysis and Finite element method. The study incorporates disciplines such as Discretization, Algorithm and Partial differential equation in addition to Basis. His Partial differential equation research incorporates elements of Simple, Mathematical optimization, Instability and Bifurcation.

He has researched Applied mathematics in several fields, including Dual norm and Parareal. His work investigates the relationship between Eigenvalues and eigenvectors and topics such as Periodic boundary conditions that intersect with problems in Polarization. His research on Mathematical analysis often connects related areas such as Model order reduction.

Between 2017 and 2021, his most popular works were:

  • Time course quantitative detection of SARS-CoV-2 in Parisian wastewaters correlates with COVID-19 confirmed cases (188 citations)
  • Tinker-HP: a massively parallel molecular dynamics package for multiscale simulations of large complex systems with advanced point dipole polarizable force fields (74 citations)
  • Tinker-HP: a massively parallel molecular dynamics package for multiscale simulations of large complex systems with advanced point dipole polarizable force fields (74 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

His main research concerns Mathematical analysis, Eigenvalues and eigenvectors, Greedy algorithm, Galerkin method and Process. His studies in Mathematical analysis integrate themes in fields like Basis and Model order reduction. His Model order reduction study integrates concerns from other disciplines, such as Twist, Fluid–structure interaction, Partial differential equation, Linear combination and Discretization.

His Discretization research focuses on Simple and how it relates to Domain decomposition methods. The various areas that Yvon Maday examines in his Eigenvalues and eigenvectors study include Finite element method, Discontinuous Galerkin method and Sobolev space. His biological study spans a wide range of topics, including Electrostatics, Position, Dielectric, Numerical analysis and Spherical harmonics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations

Maxime Barrault;Yvon Maday;Ngoc Cuong Nguyen;Anthony T. Patera.
Comptes Rendus Mathematique (2004)

1425 Citations

Spectral element methods for the incompressible Navier-Stokes equations

Yvon Maday;Anthony T. Patera.
IN: State-of-the-art surveys on computational mechanics (A90-47176 21-64). New York (1989)

820 Citations

Reliable Real-Time Solution of Parametrized Partial Differential Equations: Reduced-Basis Output Bound Methods

Christophe Prud'Homme;Dimitrios Rovas;Karen Veroy;Luc Machiels.
Journal of Fluids Engineering-transactions of The Asme (2002)

644 Citations

Approximations spectrales de problèmes aux limites elliptiques

Christine Bernardi;Yvon Maday.
(2013)

587 Citations

EFFICIENT REDUCED-BASIS TREATMENT OF NONAFFINE AND NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS

Martin A. Grepl;Yvon Maday;Yvon Maday;Ngoc C. Nguyen;Anthony T. Patera.
Mathematical Modelling and Numerical Analysis (2007)

557 Citations

Résolution d'EDP par un schéma en temps « pararéel »

Jacques-Louis Lions;Yvon Maday;Gabriel Turinici;Gabriel Turinici.
Comptes Rendus De L Academie Des Sciences Serie I-mathematique (2001)

450 Citations

Domain Decomposition by the Mortar Element Method

C. Bernardi;Y. Maday;A. T. Patera.
(1993)

407 Citations

An operator-integration-factor splitting method for time-dependent problems: application to incompressible fluid flow

Y. Maday;Anthony T. Patera;Einar M. Rønquist.
Journal of Scientific Computing (1990)

380 Citations

A PRIORI CONVERGENCE OF THE GREEDY ALGORITHM FOR THE PARAMETRIZED REDUCED BASIS METHOD

Annalisa Buffa;Yvon Maday;Anthony T. Patera;Christophe Prud’homme.
Mathematical Modelling and Numerical Analysis (2012)

290 Citations

The mortar element method for three dimensional finite elements

F. Ben Belgacem;Y. Maday.
Mathematical Modelling and Numerical Analysis (1997)

285 Citations

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