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D-Index & Metrics

Mathematics

D-Index
47
Citations
8736
World Ranking
1273
National Ranking
67

Overview

Serge Nicaise is affiliated with the University Polytechnic Hauts-de-France in France and has contributed extensively to several interconnected fields, primarily focusing on engineering, mathematics, and computer science. Their work spans 67 publications in engineering, 40 in mathematics, and 36 in computer science, demonstrating an interdisciplinary approach to contemporary scientific challenges.

Their research encompasses various subfields, including:

  • Control and Systems Engineering
  • Computational Theory and Mathematics
  • Mathematical Physics
  • Computational Mechanics
  • Mechanics of Materials

Key topics addressed in their work consist of:

  • Stability and Controllability of Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Advanced Mathematical Physics Problems
  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in engineering
  • Advanced mathematical theories
  • Numerical methods in inverse problems

Serge Nicaise has published in diverse venues, with notable frequent publications in:

  • arXiv (Cornell University)
  • Journal of Mathematical Analysis and Applications
  • Mathematical Control and Related Fields
  • Mathematical Methods in the Applied Sciences
  • HAL (Le Centre pour la Communication Scientifique Directe)

Recent representative papers include:

  • "A transmission problem of a system of weakly coupled wave equations with Kelvin-Voigt dampings and non-smooth coefficient at the interface," 2020, SeMA Journal
  • "Wavenumber-explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers," 2021, Communications in Mathematical Sciences
  • "Stability Results for Novel Serially-Connected Magnetizable Piezoelectric and Elastic Smart-System Designs," 2024, Applied Mathematics & Optimization
  • "Rational energy decay rate for the wave equation with delay term on the dynamical control," 2020, Journal of Mathematical Analysis and Applications
  • "Linear hyperbolic systems on networks: well-posedness and qualitative properties," 2020, ESAIM Control Optimisation and Calculus of Variations

The scientist has collaborated frequently with a group of co-authors including:

  • Mohammad Akil
  • Ali Wehbe
  • Haidar Badawi
  • Virginie Régnier
  • Ahmet Özer

The research profile of Serge Nicaise reflects a consistent focus on theoretical and applied aspects of differential equations, wave propagation, numerical methods, and control theory within engineering and mathematical frameworks.

Best Publications

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

    Serge Nicaise;Cristina Pignotti

  • Stabilization of the wave equation with boundary or internal distributed delay

    Serge Nicaise;Cristina Pignotti

  • Singularities of Maxwell interface problems

    Martin Costabel;Monique Dauge;Serge Nicaise

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

    Serge Nicaise;Julie Valein;Emilia Fridman

  • General Interface Problems-II

    Serge Nicaise;Anna-Margarete Sändig

  • Crouzeix-Raviart type finite elements on anisotropic meshes

    Thomas Apel;Serge Nicaise;Joachim Schöberl

  • Exponential stability of the wave equation with boundary time-varying delay

    Serge Nicaise;Cristina Pignotti;Julie Valein

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

    Thomas Apel;Serge Nicaise

  • Spectre des réseaux topologiques finis

    Serge Nicaise

  • Some results on spectral theory over networks, applied to nerve impulse transmission

    S. Nicaise

  • INTERIOR FEEDBACK STABILIZATION OF WAVE EQUATIONS WITH TIME DEPENDENT DELAY

    Serge Nicaise;Cristina Pignotti

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

    Serge Nicaise;Julie Valein

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

    Alexandre Ern;Serge Nicaise;Martin Vohralík

  • Coefficients of the singularities for elliptic boundary value problems on domains with conical points. III: finite element methods on polygonal domains

    Maryse Bourlard;Monique Dauge;Mbaro-Saman Lubuma;Serge Nicaise

  • Existence and stability results for thermoelastic dipolar bodies with double porosity

    M. Marin;S. Nicaise

  • Feedback boundary stabilization of wave equations with interior delay

    Kaïs Ammari;Serge Nicaise;Cristina Pignotti

  • Stabilization of Elastic Systems by Collocated Feedback

    Kaïs Ammari;Serge Nicaise

  • STABILIZATION OF SECOND ORDER EVOLUTION EQUATIONS WITH UNBOUNDED FEEDBACK WITH DELAY

    Serge Nicaise;Julie Valein

  • Stabilization of Second Order Evolution Equations with Unbounded Feedback with Time-Dependent Delay

    Emilia Fridman;Serge Nicaise;Julie Valein

  • ANALYTIC REGULARITY FOR LINEAR ELLIPTIC SYSTEMS IN POLYGONS AND POLYHEDRA

    Martin Costabel;Monique Dauge;Serge Nicaise

  • Corner Singularities and Analytic Regularity for Linear Elliptic Systems. Part I: Smooth domains.

    Martin Costabel;Monique Dauge;Serge Nicaise

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

    Alexandre Ern;Serge Nicaise;Martin Vohralík

Frequent Co-Authors

Monique Dauge
Monique Dauge University of Rennes
Martin Costabel
Martin Costabel University of Rennes
Fredi Tröltzsch
Fredi Tröltzsch Technical University of Berlin
Emilia Fridman
Emilia Fridman Tel Aviv University
Eduard Feireisl
Eduard Feireisl Czech Academy of Sciences
Alexandre Ern
Alexandre Ern École des Ponts ParisTech
Wolfgang Arendt
Wolfgang Arendt University of Ulm
Herbert Amann
Herbert Amann University of Zurich
Barbara Wohlmuth
Barbara Wohlmuth Technical University of Munich

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