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- Serge Nicaise

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
40
Citations
6,814
312
World Ranking
1376
National Ranking
70

- Mathematical analysis
- Quantum mechanics
- Partial differential equation

His primary areas of investigation include Mathematical analysis, Boundary, Wave equation, Applied mathematics and Boundary value problem. His Mathematical analysis study focuses mostly on Partial differential equation, Bounded function, Maxwell's equations, Gravitational singularity and Elliptic curve. His studies deal with areas such as Sobolev space, Numerical analysis and Interpolation as well as Partial differential equation.

His Maxwell's equations study incorporates themes from Dirichlet problem, Neumann boundary condition and Polygon mesh. His Boundary research includes themes of Exponential stability, Controllability and Calculus. Serge Nicaise has included themes like Lyapunov functional, Exponential function, Term, Independent equation and Polynomial in his Wave equation study.

- Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks (304 citations)
- Singularities of Maxwell interface problems (208 citations)
- Stabilization of the wave equation with boundary or internal distributed delay (143 citations)

The scientist’s investigation covers issues in Mathematical analysis, Applied mathematics, Boundary value problem, A priori and a posteriori and Boundary. His study explores the link between Mathematical analysis and topics such as Exponential stability that cross with problems in Observability. In his study, which falls under the umbrella issue of Applied mathematics, Constant is strongly linked to Upper and lower bounds.

As a part of the same scientific family, Serge Nicaise mostly works in the field of Boundary value problem, focusing on Gravitational singularity and, on occasion, Pure mathematics. His Boundary research includes elements of Heat equation and Laplace operator. His Wave equation research incorporates themes from Polynomial and Exponential decay.

- Mathematical analysis (62.99%)
- Applied mathematics (23.05%)
- Boundary value problem (22.40%)

- Mathematical analysis (62.99%)
- Applied mathematics (23.05%)
- Exponential stability (13.31%)

His scientific interests lie mostly in Mathematical analysis, Applied mathematics, Exponential stability, Energy and Maxwell's equations. His Mathematical analysis research is multidisciplinary, incorporating elements of Boundary and Type. His Applied mathematics research is multidisciplinary, incorporating perspectives in Convection–diffusion equation, Steady state, Ordinary differential equation and Nonlinear system.

His research integrates issues of Stability result and Asymptotic analysis in his study of Exponential stability. His biological study spans a wide range of topics, including Semigroup and Bounded function. Within one scientific family, Serge Nicaise focuses on topics pertaining to Impedance boundary condition under Maxwell's equations, and may sometimes address concerns connected to Mathematical proof, Regular polygon and Neumann boundary condition.

- Existence and stability results for thermoelastic dipolar bodies with double porosity (67 citations)
- Wavenumber explicit convergence analysis for finite element discretizations of general wave propagation problems (17 citations)
- Discretization of the Poisson equation with non‐smooth data and emphasis on non‐convex domains (15 citations)

- Mathematical analysis
- Quantum mechanics
- Partial differential equation

Serge Nicaise focuses on Mathematical analysis, Applied mathematics, Maxwell's equations, Poisson's equation and Boundary value problem. The Mathematical analysis study combines topics in areas such as Perturbation and Omega. His studies in Applied mathematics integrate themes in fields like Domain and Nonlinear system.

His Domain study which covers Polyhedron that intersects with Boundary. His study in Poisson's equation is interdisciplinary in nature, drawing from both Dirichlet problem, Elliptic boundary value problem, Numerical analysis and Weak solution. His research in Boundary value problem focuses on subjects like Hyperbolic systems, which are connected to Ambient space, Partial differential equation and Controllability.

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.

Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks

Serge Nicaise;Cristina Pignotti.

Siam Journal on Control and Optimization **(2006)**

532 Citations

Singularities of Maxwell interface problems

Martin Costabel;Monique Dauge;Serge Nicaise.

Mathematical Modelling and Numerical Analysis **(1999)**

327 Citations

Stabilization of the wave equation with boundary or internal distributed delay

Serge Nicaise;Cristina Pignotti.

Differential and Integral Equations **(2008)**

291 Citations

STABILITY OF THE HEAT AND OF THE WAVE EQUATIONS WITH BOUNDARY TIME-VARYING DELAYS

Serge Nicaise;Julie Valein;Emilia Fridman.

Discrete and Continuous Dynamical Systems - Series S **(2009)**

196 Citations

General Interface Problems-II

Serge Nicaise;Anna-Margarete Sändig.

Mathematical Methods in The Applied Sciences **(1994)**

187 Citations

Crouzeix-Raviart type finite elements on anisotropic meshes

Thomas Apel;Serge Nicaise;Joachim Schöberl.

Numerische Mathematik **(2001)**

165 Citations

Spectre des réseaux topologiques finis

Serge Nicaise.

Bulletin Des Sciences Mathematiques **(1987)**

148 Citations

The finite element method with anisotropic mesh grading for elliptic problems in domains with corners and edges

Thomas Apel;Serge Nicaise.

Mathematical Methods in The Applied Sciences **(1998)**

144 Citations

Stabilization of the wave equation on 1-d networks with a delay term in the nodal feedbacks

Serge Nicaise;Julie Valein.

Networks and Heterogeneous Media **(2007)**

131 Citations

An accurate H(div) flux reconstruction for discontinuous Galerkin approximations of elliptic problems

Alexandre Ern;Serge Nicaise;Martin Vohralík.

Comptes Rendus Mathematique **(2007)**

126 Citations

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