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.
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