107 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR169 papers
- Université Savoie Mont BlancFR162 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR85 papers
- Institut National des Sciences Mathématiques et de leurs InteractionsFR69 papers
- Laboratoire de Mathématiques Blaise PascalFR33 papers
- Laboratoire Jean-Alexandre DieudonnéFR21 papers
- Laboratoire Optimisation de la Conception et Ingénierie de l'EnvironnementFR21 papers
- Université Grenoble AlpesFR19 papers
- Université Paris-Est CréteilFR19 papers
- University College DublinIE17 papers
- Université Nice Sophia AntipolisFR16 papers
- Pontifícia Universidade Católica do ParanáBR15 papers
29 papers · 1 filter
Augmented Skew-Symetric System for Shallow-Water System with Surface Tension Allowing Large Gradient of Density
Jean-Paul Vila, Gael Richard, Didier Bresch +7
In this paper, we introduce a new extended version of the shallow water equations with surface tension which is skew-symmetric with respect to the L2 scalar product and allows for…
An optimal scaling to computationally tractable dimensionless models: Study of latex particles morphology formation
Simone Rusconi, Denys Dutykh, Arghir Zarnescu +2
In modelling of chemical, physical or biological systems it may occur that the coefficients, multiplying various terms in the equation of interest, differ greatly in magnitude, if…
Interpreting Distortions in Dimensionality Reduction by Superimposing Neighbourhood Graphs
Benoît Colange, Laurent Vuillon, Sylvain Lespinats +1
To perform visual data exploration, many dimensionality reduction methods have been developed. These tools allow data analysts to represent multidimensional data in a 2D or 3D spac…
Rates of convergence in invariance principles for random walks on linear groups via martingale methods
Christophe Cuny, Jérôme Dedecker, Florence Merlevède
In this paper, we give explicit rates in the central limit theorem and in the almost sure invariance principle for general R d-valued cocycles that appear in the study of the left…
Dispersive and non-dispersive nonlinear long wave transformations: Numerical and experimental results
Tomas Torsvik, Ahmed Abdalazeez, Denys Dutykh +2
The description of gravity waves propagating on the water surface is considered from a historical point of view, with specific emphasis on the development of a theoretical framewor…
Hamiltonian regularisation of shallow water equations with uneven bottom
Didier Clamond, Denys Dutykh, Dimitrios Mitsotakis
The regularisation of nonlinear hyperbolic conservation laws has been a problem of great importance for achieving uniqueness of weak solutions and also for accurate numerical simul…
Numerical simulation of Feller's diffusion equation
Denys Dutykh
This article is devoted to Feller's diffusion equation which arises naturally in probabilities and physics (e.g. wave turbulence theory). If discretized naively, this equation may…
Optimal transportation and stationary measures for Iterated Function Systems
Benoît Kloeckner
In this article we show how ideas, methods and results from optimal transportation can be used to study various aspects of the stationary measuresof Iterated Function Systems equip…
Cellular Monads from Positive GSOS Specifications
Tom Hirschowitz
We give a leisurely introduction to our abstract framework for operational semantics based on cellular monads on transition categories. Furthermore, we relate it for the first time…
From the backward Kolmogorov PDE on the Wasserstein space to propagation of chaos for Mckean-Vlasov SDEs
Noufel Frikha, Paul-Eric Chaudru de Raynal
This article is a continuation of our first work \cite{chaudruraynal:frikha}. We here establish some new quantitative estimates for propagation of chaos of non-linear stochastic di…
Leveraging Labeled and Unlabeled Data for Consistent Fair Binary Classification
Evgenii Chzhen, Christophe Denis, Mohamed Hebiri +2
We study the problem of fair binary classification using the notion of Equal Opportunity. It requires the true positive rate to distribute equally across the sensitive groups. With…
On the comparison of three numerical methods applied to building simulation: finite-differences, RC circuit approximation and a spectral method
Julien Berger, Suelen Gasparin, Denys Dutykh +1
Predictions of physical phenomena in buildings are carried out by using physical models formulated as a mathematical problem and solved by means of numerical methods, aiming at eva…
On some model equations for pulsatile flow in viscoelastic vessels
Dimitrios Mitsotakis, Denys Dutykh, Qian Li +1
Considered here is the derivation of partial differential equations arising in pulsatile flow in pipes with viscoelastic walls. The equations are asymptotic models describing the p…
On the multi-symplectic structure of Boussinesq-type systems. II: Geometric discretization
Angel Durán, Denys Dutykh, Dimitrios Mitsotakis
In this paper we consider the numerical approximation of systems of Boussinesq-type to model surface wave propagation. Some theoretical properties of these systems (multi-symplecti…
Big Birkhoff sums in -decaying Gauss like iterated function systems
Michal Rams, Lingmin Liao
The increasing rate of the Birkhoff sums in the infinite iterated function systems with polynomial decay of the derivative (for example the Gauss map) is studied. For different unb…
Effects of vorticity on the travelling waves of some shallow water two-component systems
Denys Dutykh, Delia Ionescu-Kruse
In the present study we consider three two-component (integrable and non-integrable) systems which describe the propagation of shallow water waves on a constant shear current. Name…
Long wave interaction with a partially immersed body. Part I: Mathematical models
Gayaz Khakimzyanov, Denys Dutykh
In the present article we consider the problem of wave interaction with a partially immersed, but floating body. We assume that the motion of the body is prescribed. The general ma…
A new model for simulating heat, air and moisture transport in porous building materials
Julien Berger, Denys Dutykh, Nathan Mendes +1
This work presents a detailed mathematical model combined with an innovative efficient numerical model to predict heat, air and moisture transfer through porous building materials.…
On time relaxed schemes and formulations for dispersive wave equations
Jean-Paul Chehab, Denys Dutykh
The numerical simulation of nonlinear dispersive waves is a central research topic of many investigations in the nonlinear wave community. Simple and robust solvers are needed for…
The gradient discretisation method for linear advection problems
Jérôme Droniou, Robert Eymard, T. Gallouët +1
We adapt the Gradient Discretisation Method (GDM), originally designed for elliptic and parabolic partial differential equations, to the case of a linear scalar hyperbolic equation…
An efficient numerical model for liquid water uptake in porous material and its parameter estimation
Ainagul Jumabekova, Julien Berger, Denys Dutykh +4
The goal of this study is to propose an efficient numerical model for the predictions of capillary adsorption phenomena in a porous material. The Scharfetter-Gummel numerical schem…
An innovative method to determine optimum insulation thickness based on non-uniform adaptive moving grid
Suelen Gasparin, Julien Berger, Denys Dutykh +1
It is well known that thermal insulation is a leading strategy for reducing energy consumption associated to heating or cooling processes in buildings. Nevertheless, building insul…
On the Reducibility and the Lenticular Sets of Zeroes of Almost Newman Lacunary Polynomials
Denys Dutykh, Jean-Louis Verger-Gaugry
The class B of lacunary polynomials f(x) := -1 + x + x^n + x^{m_1} + x^{m_2} + ... + x^{m_s}, where s >= 0, m_1 - n >= n - 1, m_{q+1} - m_{q} >= n - 1 for 1 <= q < s, n >= 3 is stu…
A spectral method for solving heat and moisture transfer through consolidated porous media
Suelen Gasparin, Denys Dutykh, Nathan Mendes
This work presents an efficient numerical method based on spectral expansions for simulation of heat and moisture diffusive transfers through multilayered porous materials. Traditi…