Monique Dauge

Institut de recherche mathématique de Rennes — France

Computer Science · Physical Sciences

39h-index6.9kcitations198works0.22yr avg
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Research Topics

Advanced Mathematical Modeling in Engineering(118), Advanced Numerical Methods in Computational Mathematics(52), Numerical methods in inverse problems(48), Numerical methods in engineering(33), Spectral Theory in Mathematical Physics(26)

Publications198 total

Estimates for harmonic functions near pseudo-corners
arXiv (Cornell University)·2025Open Access
Dirichlet problem on perturbed conical domains via converging generalized power series
Journal of Differential Equations·2025· 1 citedOpen Access
Numerical simulation of Lugiato-Lefever equation for Kerr combs generation in Fabry-Perot resonators
Figshare·2025Open Access
Numerical simulation of Lugiato-Lefever equation for Kerr combs generation in Fabry-Perot resonators
arXiv (Cornell University)·2025Open Access
Numerical investigations of Lugiato-Lefever equation for Kerr combs generation in Fabry-Perot resonators
SPIRE - Sciences Po Institutional REpository·2024Open Access
Stability Analysis of a Simple Discretization Method for a Class of Strongly Singular Integral Equations
Integral Equations and Operator Theory·2023· 1 citedOpen Access
At the Interface between Semiclassical Analysis and Numerical Analysis of Wave Scattering Problems
Oberwolfach Reports·2023Open Access
Stability Analysis of a Simple Discretization Method for a Class of Strongly Singular Integral Equations
arXiv (Cornell University)·2023Open Access
Characterization of Sobolev spaces by their Fourier coefficients in axisymmetric domains
CALCOLO·2023· 1 citedOpen Access
Corner asymptotics of the magnetic potential in the eddy-current model
2022Open Access
Asymptotic lattices, good labellings, and the rotation number for quantum integrable systems
Discrete and Continuous Dynamical Systems·2022Open Access
Asymptotics for 2D whispering gallery modes in optical micro-disks with radially varying index
IMA Journal of Applied Mathematics·2021· 8 citedOpen Access
Trace Hardy inequality for the Euclidean space with a cut and its applications
Journal of Mathematical Analysis and Applications·2021Open Access
Erratum to: Mathematical analysis of whispering gallery modes in graded index optical micro-disk resonators
The European Physical Journal D·2020· 1 citedOpen Access
Trace Hardy inequality for the Euclidean space with a cut and its applications
arXiv (Cornell University)·2020· 1 citedOpen Access
Mathematical analysis of whispering gallery modes in graded index optical micro-disk resonators
The European Physical Journal D·2020· 10 citedOpen Access
On the semiclassical Laplacian with magnetic field having self-intersecting zero set
Journal of Spectral Theory·2020· 3 citedOpen Access
Mini-Workshop: Mathematical and Numerical Analysis of Maxwell’s Equations
Oberwolfach Reports·2019
Asymptotic expansions of Whispering Gallery Modes in graded index optical micro-cavities
HAL (Le Centre pour la Communication Scientifique Directe)·2019Open Access
6. Maxwell eigenmodes in product domains
2019· 6 cited
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Frequent Co-authors

Martin Costabel(27), Serge Nicaise(4), Zohar Yosibash(4), Christine Bernardi(3), Maryse Bourlard(3), Isabelle Gruais(3), Virginie Bonnaillie‐Noël(3), Erwan Faou(3), Yvon Maday(2), Serge Nicaise(2), Grégory Vial(2), Andreas Rössle(2), Jean Lubuma(2), Daniele Boffi(2), Leszek Demkowicz(2), Annalisa Buffa(2), Chérif Amrouche(1), Vivette Girault(1), Bernard Helffer(1), Alexander Düster(1)