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	Weierstrass Fractal Drums - II Towards a Fractal Cohomology Claire David , Michel L Lapidus Mathematische Zeitschrift, In press Journal articles hal-03758820v7
	Iterated Fractal Drums ∼ Some New Perspectives: Polyhedral Measures, Atomic Decompositions and Morse Theory Claire David , Michel L Lapidus Contemporary mathematics, inPress Journal articles hal-03946104v4
	h-Laplacians on Singular Sets Claire David , Gilles Lebeau Journal of Fractal Geometry, inPress, 10 (1), pp.61-108. ⟨10.4171/jfg/126⟩ Journal articles hal-03698953v2
	Input-Output Analysis: New Results From Markov Chain Theory Nizar Riane , Claire David Economie appliquée, 2022 Journal articles hal-03696207v1
	Wandering across the Weierstrass function, while revisiting its properties Claire David Analysis of PDE-Morningside Lecture notes, inPress Journal articles hal-03696196v1
	Optimal control of the heat equation on a fractal set Nizar Riane , Claire David Optimization and Engineering, 2021, 22 (4), pp.2263-2289. ⟨10.1007/s11081-021-09625-z⟩ Journal articles hal-04132096v1
	Autour de la fonction de Weierstrass Claire David Quadrature, 2021, 122 Journal articles hal-04104219v1
	The finite volume method on Sierpiński Simplices Nizar Riane , Claire David Communications in Nonlinear Science and Numerical Simulation, 2021, 92, pp.105468. ⟨10.1016/j.cnsns.2020.105468⟩ Journal articles hal-03698964v1
	Optimization on fractal sets Nizar Riane , Claire David Optimization Letters, 2021, 15 (8), pp.2681-2700. ⟨10.1007/s11590-020-01689-7⟩ Journal articles hal-04132082v1
	An inverse Black–Scholes problem Nizar Riane , Claire David Optimization and Engineering, 2021, 22 (4), pp.2183-2204. ⟨10.1007/s11081-020-09588-7⟩ Journal articles hal-04132099v1
	Sierpiński Gasket versus Arrowhead curve Nizar Riane , Claire David Communications in Nonlinear Science and Numerical Simulation, 2020, 89, pp.105311. ⟨10.1016/j.cnsns.2020.105311⟩ Journal articles hal-02967836v1
	The Finite Volume Method on Sierpiński Simplices Nizar Riane , Claire David Communications in Nonlinear Science and Numerical Simulation, 2020, 92, pp.105468. ⟨10.1016/j.cnsns.2020.105468⟩ Journal articles hal-03045860v1
	On fractal properties of Weierstrass-type functions Claire David Proceedings of the International Geometry Center, 2019, 12 (2), ⟨10.15673/tmgc.v12i2.1485⟩ Journal articles hal-03698959v1
	The finite difference method for the heat equation on Sierpiński simplices Nizare Riane , Claire David International Journal of Computer Mathematics, 2018, 96 (7), pp.1477-1501. ⟨10.1080/00207160.2018.1517209⟩ Journal articles hal-03698963v1
	Bypassing dynamical systems: a simple way to get the box-counting dimension of the graph of the Weierstrass function Claire David Proceedings of the International Geometry Center, 2018, 11 (2), ⟨10.15673/tmgc.v11i2.1028⟩ Journal articles hal-03698962v1
	Structural stability of Lattice Boltzmann schemes Claire David , Pierre Sagaut Physica A: Statistical Mechanics and its Applications, 2016, 444, pp.1-8. ⟨10.1016/j.physa.2015.09.089⟩ Journal articles hal-01298987v1
	Sur le réarrangement décroissant Claire David Quadrature, 2015, 97, pp.41-46 Journal articles hal-01298990v1
	From an initial data to a global solution of the nonlinear Schrödinger equation: a building process Jean-Yves Chemin , Claire David International Mathematics Research Notices, 2015, 2016 (8), pp.2376-2396. ⟨10.1093/imrn/rnv199⟩ Journal articles hal-01298989v1
	Sur la construction de grandes solutions pour des équations de Schrödinger de type « masse critique » Jean-Yves Chemin , Claire David Séminaire Laurent Schwartz - EDP et applications, 2013 Journal articles hal-01448876v1
	A linear dispersive mechanism for numerical error growth: spurious caustics Cl. David , Pierre Sagaut , T. Sengupta European Journal of Mechanics - B/Fluids, 2011, 28 (1), pp.2625-2636. ⟨10.1080/00207160.2011.554538⟩ Journal articles hal-00085767v1
	Spurious caustics of Dispersion Relation Preserving schemes Claire David , Pierre Sagaut International Journal of Computer Mathematics, 2011, 88 (12), pp.2625-2636. ⟨10.1080/00207160.2011.554538⟩ Journal articles hal-00712744v1
	Spurious caustics of Dispersion Relation Preserving schemes Claire David , Pierre Sagaut International Journal of Computer Mathematics, 2011, 88 (12), pp.2625-2636. ⟨10.1080/00207160.2011.554538⟩ Journal articles hal-00336452v1
	Structural Stability of Discontinuous Galerkin Schemes Claire David , Pierre Sagaut Acta Applicandae Mathematicae, 2011, 113 (1), pp.45-56. ⟨10.1007/s10440-010-9583-5⟩ Journal articles hal-01298897v1
	Recursive Differential Systems in Nonlinear Mechanics Claire David , Marine Marcilhac , Alain Rigolot Journal of Applied Mechanics, 2010, 77 (3), ⟨10.1115/1.4000387⟩ Journal articles hal-04242232v1
	A Note On Solitary Wave Solutions of the Compound Burgers-Korteweg-de Vries Equation" Claire David , Rasika Fernando , Zhaosheng Feng Physica A: Statistical Mechanics and its Applications, 2007, 375 (1), pp.44-50. ⟨10.1016/j.physa.2006.09.008⟩ Journal articles hal-00087812v1

	Lie group stability of finite difference schemes Emma Hoarau , Claire David , Pierre Sagaut , Thiên-Hiêp Lê Supplement edition of the journal Discrete and Continuous Dynamical Systems, 2007, France Conference papers hal-00090421v2

	Mathématiques pour les sciences de la vie Claire David , Sami Mustapha , Frederi Viens , Nathalie Capron Dunod, 2014, Anne Bourguignon, 978-2-10-059977-6 Books hal-01435513v1
	Mathématiques L1 Claire David , Sami Mustapha Dunod, 2014, Anne Bourguignon, 978-2-10-059992-9 Books hal-01435512v1
	Introduction aux coques minces élastiques Muller Patrick , Claire David 1999, 2-7462-0067-8 Books hal-01435531v1

	Fractal Complex Dimensions and Cohomology of the Weierstrass Curve Claire David , Michel L Lapidus From Classical Analysis to Analysis on Fractals: A Tribute to Robert Strichartz, 2, , inPress, Applied and Numerical Harmonic Analysis Book sections hal-03797595v4

	Weierstrass Fractal Drums -I − A Glimpse of Complex Dimensions Claire David , Michel Lapidus 2024 Preprints, Working Papers, ... hal-03642326v3
	New Insights for Fractal Zeta Functions Polyhedral Neighborhoods vs Tubular Neighborhoods Claire David , Michel L Lapidus 2023 Preprints, Working Papers, ... hal-04306826v1

Claire David

Presentation

Research domains

Publications

Weierstrass Fractal Drums - II Towards a Fractal Cohomology

Iterated Fractal Drums ∼ Some New Perspectives: Polyhedral Measures, Atomic Decompositions and Morse Theory

h-Laplacians on Singular Sets

Input-Output Analysis: New Results From Markov Chain Theory

Wandering across the Weierstrass function, while revisiting its properties

Optimal control of the heat equation on a fractal set

Autour de la fonction de Weierstrass

The finite volume method on Sierpiński Simplices

Optimization on fractal sets

An inverse Black–Scholes problem

Sierpiński Gasket versus Arrowhead curve

The Finite Volume Method on Sierpiński Simplices

On fractal properties of Weierstrass-type functions

The finite difference method for the heat equation on Sierpiński simplices

Bypassing dynamical systems: a simple way to get the box-counting dimension of the graph of the Weierstrass function

Structural stability of Lattice Boltzmann schemes

Sur le réarrangement décroissant

From an initial data to a global solution of the nonlinear Schrödinger equation: a building process

Sur la construction de grandes solutions pour des équations de Schrödinger de type « masse critique »

A linear dispersive mechanism for numerical error growth: spurious caustics

Spurious caustics of Dispersion Relation Preserving schemes

Spurious caustics of Dispersion Relation Preserving schemes

Structural Stability of Discontinuous Galerkin Schemes

Recursive Differential Systems in Nonlinear Mechanics

A Note On Solitary Wave Solutions of the Compound Burgers-Korteweg-de Vries Equation"

Lie group stability of finite difference schemes

Mathématiques pour les sciences de la vie

Mathématiques L1

Introduction aux coques minces élastiques

Fractal Complex Dimensions and Cohomology of the Weierstrass Curve

Weierstrass Fractal Drums -I − A Glimpse of Complex Dimensions

New Insights for Fractal Zeta Functions Polyhedral Neighborhoods vs Tubular Neighborhoods