Articles - Publications

En gras souligné : auteur principal.  -  In bold underlined: Main Author.

En italique : doctorants. -  In Italics: students.

Grille de lecture :

Une suggestion parmi d'autres ?

Et en recherche, on évalue quoi, au fond ? 

Un chercheur, ou un travail d'équipe ?

•  f(alpha, .)  Multifractal Formalism - Fractal Complex Dimensions: Two Complementary Approaches.

• [DavLap25a] Claire David, Michel L. Lapidus, Weierstrass Fractal Drums - I - A Glimpse of Complex Dimensions, à paraître dans Advances in Mathematics (77 pages). PDF

• [DavLap25b] Claire David, Michel L. Lapidus, Polyhedral Neighborhoods vs Tubular Neighborhoods: New Insights for the Fractal Zeta Functions, Ramanujan Journal, 67(3), paper number 73, 2025 (87 pages). PDF HAL Version

• [DavLap25c] Claire David, Michel L. Lapidus, Iterated Fractal Drums - Some New Perspectives: Polyhedral Measures, Atomic Decompositions and Morse Theory, à paraître dans Contemporary Mathematics, Hafedh Herichi, Maria Rosaria Lancia, Therese-Basa Landry, Anna Rozanova-Pierrat and Steffen Winter, editors, Fractal Geometry in Pure and Applied Mathematics, 828, Amer. Math. Soc., [Providence], RI (88 pages). PDF

• [DavLap25d] Claire David, Michel L. Lapidus, Revisiting Microlocal Analysis: A Bridge between Fractal Cohomology and Classical Function Spaces, Asymptotic Analysis, 2025 (43 pages). PDF

• [DavLap25e] Claire David, Michel L. Lapidus, Understanding Fractality: A Polyhedral Approach to the Koch Curve and its Complex Dimensions,  Asymptotic Analysis, 2025 (19 pages). PDF

• [DavLap25f] Claire David, Michel L. Lapidus, Fractal cohomology of SLEk .

• [RDV25] N. Riane, Claire David, François Vigneron, Membrane Deformation - Finite Elements - Parametric Shape Optimization on the Koch Snowflake (41 pages). PDF

• [Dav24] Claire David. Wandering across the Weierstrass function, while revisiting its properties, Analysis of PDE, Morningside Lecture Notes (edited by Jean-Yves Chemin, Ping Zhang and Fang-Hua Lin), Part 6, 2024 (33 pages). PDF

• [DavLap24a] Claire David, Michel L. Lapidus, Fractal Complex Dimensions and Cohomology of the Weierstrass Curve, à paraître dans "From Classical Analysis to Analysis on Fractals: A Tribute to Robert  Strichartz", Volume 2, Applied and Numerical Harmonic Analysis, Birkhauser (61 pages). PDF

• [DavLap24b] Claire David, Michel L. Lapidus, Weierstrass Fractal Drums - II - Towards a fractal Cohomology, Mathematische Zeitschrift, 308 (2), 2024 (62 pages). PDF

• [DavLap24d] Claire David, Michel L. Lapidus, From Weierstrass to Riemann : The Frobenius Pass - When Fractal Flows come into Play with Zeta Functions, In John Friedlander, Carl Pomerance, and Michael Th. Rassias, editors, Essays in Analytic Number Theory, in Honor of Helmut Maier's 70th Birthday. Springer Nature, Cham, 2024 (90 pages). PDF

• [RD24] N. Riane, Claire David, Generalized measure Black–Scholes equation: towards option self-similar pricing, 2024. PDF 

• [DavLeb23] Claire David, Gilles Lebeau, h-Laplacians on singular sets, Journal of Fractal Geometry, 10 (1), pages 61-108. PDF

• [RDL22]  Nizar Riane, Claire David, Didier Lebert, What can one learn from a bilateral trade matrix? A paraître dans Economie Appliquée.

• [RD22]  Nizar Riane, Claire David, Input-Output Analysis: New Results From Markov Chain Theory, Economie Appliquée, 1 (3), 2022. PDF

• [Dav20] Claire David. Laplacian, on the Arrowhead Curve, Proceedings of the International Geometry Center, 13 (2), 2020, pages 19-49. PDF

• [RD21a] N. Riane, Claire David, Optimization on fractal sets, Optimization Letters,15 (8), pp. 2681–2700, 2021. PDF

• [RD21b] N. Riane, Claire David, The Finite Volume Method on Sierpinski Simplices, Communications in Nonlinear Science and Numerical Simulations, special issue on Recent Advances in Fractals, 92, 2021. PDF   BibTeX

• [RD21c] N. Riane, Claire David, An inverse Black-Scholes Problem, Optimization and Engineering, 22 (4), pp. 2183-2204, 2021. PDF

• [RD21d] N. Riane, Claire David, Optimal control of the heat equation on a fractal set, Optimization and Engineering, 22(4), pp. 2263-2289, 2021. PDF

• [RD20] N. Riane, Claire David, Sierpinski Gasket vs Arrowhead Curve, Communications in Nonlinear Science and Numerical Simulations, special issue on Recent Advances in Fractals, 92, 2021. PDF BiBTex

• [Dav19a] Claire David. On fractal properties of Weierstrass-type functions, Proceedings of the International Geometry Center, 12 (2), 2019. PDF  BibTeX

• [Dav18] Claire David, Bypassing dynamical systems: A simple way to get the boxcounting dimension of the graph of the Weierstrass function, Proceedings of the International Geometry Center, 11 (2), 2018, pages 1-16. PDF  BibTeX

• [RD18]  N. Riane, Claire David, The Finite Difference Method, for the heat equation on Sierpinski simplices, International Journal of Computer Mathematics, 96 (7), 2019, pages 1477-1501. PDF  BibTeX

• [KDB17] K. Benalia, Claire David, B. Oukacha, An optimal time control problem for the one-dimensional, linear heat equation, in presence of a scaling parameter, RAIRO - Operations Research, https ://doi.org/10.1051/ro/2017006.

• [Dav16] Claire David, Control of the Black-Scholes equation, Computers & Mathematics with Applications, 73(7), 2017, pages 1566-1575.  PDF BibTeX

• [DS16] Claire David,  P. Sagaut, Structural stability of Lattice Boltzmann schemes, Physica A, 444, 2016, pages 1-8. PDF BibTeX

• [CD16] J.-Y. Chemin, Claire David, From an initial data to a global solution of the nonlinear Schrödinger equation: a building process, International Mathematics Research Notices, 8, 2016, pages 2376-2396. PDF   BibTeX

• [CD13]  J.-Y. Chemin, Claire David, Sur la construction de grandes solutions pour des équations de Schrödinger de type « masse critique », Séminaire Laurent Schwartz - EDP et applications, 2013. PDF

• [DS11a] Claire David, P. Sagaut, Spurious caustics of Dispersion Relation Preserving schemes, Int. J. Comput. Math., 88(12), 2011, pages 2625-2636. PDF  

• [DS11b] Claire David, P. Sagaut, Structural stability of discontinuous Galerkin schemes, Acta Applicandae Mathematicae, 113(1)1, 2011, pages 45-56. PDF   BibTeX

• [DMR10] Claire David, M. Marcilhac, A. Rigolot, Recursive Differential Systems in Non Linear Mechanics, Journal of Applied Mechanics, 77 (3), 2010. PDF

• [DS09a] Claire David, P. Sagaut, Structural stability of finite dispersion-relation preserving schemes, Chaos, Solitons and Fractals, 41 (4), 2009, pages 2193-2199. PDF  BibTeX

• [DS09b] Claire David, P. Sagaut, Spurious solitons and structural stability of finite difference schemes for nonlinear wave equations, Chaos, Solitons and Fractals, 41 (2), 2009, pages 655-660. PDF  BibTeX

• [DSS09] Claire David, P. Sagaut, T. Sengupta, A linear dispersive mechanism for numerical error growth : spurious caustics, European Journal of Fluid Mechanics - B/Fluids, 28 (1), 2009, pages 146-151. PDF  BibTeX

• [HSDL08] E. Hoarau, P. Sagaut, Claire David, T.-H. Lê, Symmetry Preserving Discretization of the Compressible Euler Equations, in Computational Fluid Dynamics 2008, (6), Springer-Verlag (2009), Berlin, Heidelberg.

• [DS07] Claire David, P. Sagaut, Theoretical optimization of finite difference schemes, Dynamics of Continuous, Discrete and Impulsive Systems (Series A), Vol 14. (2007), pages 286-293 PDF   BibTeX

• [HD07] E. Hoarau, Claire David, Lie group computation of finite difference schemes, DCDIS (Series A), 14, 2007, pages 180-184. PDF  BibTeX

• [HSDL07] E. Hoarau, Claire David, P. Sagaut, T.-H. Lê, Lie group stability of finite difference schemes, Dynamics of Continuous, Discrete and Impulsive Systems (Series A), Vol. 14. (2007), pages 495-505. PDF  BibTeX

• [DFF07] Claire David, R. Fernando, Z. Feng, A note on "general solitary wave solutions of the Compound Burgers-Korteweg-de Vries Equation", Physica A, 375 (1), 2007, pages 44-50 PDF  BibTeX

• [DT04] Claire David, M. Touratier, A Multilayered Piezoelectric Shell theory, Composites Science and Technology, 64 (13-14), 2004, pages 2121-2137.

• [DT03] Claire David, M. Touratier, Multilayered Piezoelectric Refined Plate theory, AIAA Journal, 41 (1), 2003, pages 90-99.

• [DMT01] Claire David, P. Muller, M. Touratier, Multilayered Piezoelectric Refined Plate Theory, Composite Structures, 52, 2001, pages 85-95.

• [DMT99] Claire Ossadzow-David, P. Muller, M. Touratier, Deep doubly curved multilayered shell theory, AIAA Journal, 37 (1), 1999, pages 100-109.

• [DMT98] Claire Ossadzow-David, M. Touratier, Wave dispersion in deep multilayered doubly curved viscoelastic shells, Journal of Sound and Vibration, 214(3) 1998, pages 531-552.