Dr Jerome Droniou - Researcher Profile

Biography

http://users.monash.edu.au/~jdroniou/

Related Links:

• Personal web page

Qualifications

AUTORISATION TO SUPERVISE RESEARCH

Institution: University Montpellier 2

Year awarded: 2004

DOCTOR OF PHILOSOPHY

Institution: University Aix-Marseille I

Year awarded: 2001

Publications

Journal Articles

Alfaro, M., Droniou, J., Matano, H., 2012, Convergence rate of the Allen-Cahn equation to generalized motion by mean curvature, Journal Of Evolution Equations [P], vol 12, issue 2, Birkhauser Verlag AG, Basel Switzerland, pp. 267-294.

Da Veiga, B., Droniou, J., Manzini, G., 2011, A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems, Ima Journal Of Numerical Analysis [P], vol 31, issue 4, Oxford University Press, Oxford England, pp. 1357-1401.

Droniou, J., Le Potier, C., 2011, Construction and convergence study of schemes preserving the elliptic local maximum principle, Siam Journal On Numerical Analysis [P], vol 49, issue 2, Siam Publications, USA, pp. 459-490.

Chainais-Hillairet, C., Droniou, J., 2011, Finite-volume schemes for noncoercive elliptic problems with Neumann boundary conditions, Ima Journal Of Numerical Analysis [P], vol 31, issue 1, Oxford University Press, England, pp. 61-85.

Alfaro, M., Droniou, J., 2011, General fractal conservation laws arising from a model of detonations in gases, Applied Mathematics Research eXpress [E], Oxford University Press, UK, pp. 1-25.

Droniou, J., 2010, A numerical method for fractal conservation laws, Mathematics Of Computation [P], vol 79, issue 269, American Mathematical Society, USA, pp. 95-124.

Droniou, J., Eymard, R., Gallouet, T., Herbin, R., 2010, A unified approach to mimetic finite difference, hybrid finite volume and mixed finite volume methods, Mathematical Models and Methods in Applied Sciences [P], vol 20, issue 2, World Scientific Publishing, Singapore, pp. 265-295.

Droniou, J., 2010, Remarks on discretizations of convection terms in hybrid mimetic mixed methods, Networks And Heterogeneous Media [P], vol 5, issue 3, American Institute of Mathematical Sciences, Springfield MO USA, pp. 545-563.

Agelas, L., Di Pietro, D.A., Droniou, J., 2010, The G method for heterogeneous anisotropic diffusion on general meshes, Esaim-Mathematical Modelling And Numerical Analysis-Modelisation Mathematique Et Analyse Numerique [P], vol 44, issue 4, EDP Sciences, France, pp. 597-625.

Droniou, J., Vazquez, J., 2009, Noncoercive convection-diffusion elliptic problems with Neumann boundary conditions, Calculus Of Variations And Partial Differential Equations [P], vol 34, issue 4, Springer, New York USA, pp. 413-434.

Droniou, J., Eymard, R., 2009, Study of the mixed finite volume method for Stokes and Navier-Stokes equations, Numerical Methods for Partial Differential Equations [P], vol 25, issue 1, John Wilet & Sons, USA, pp. 137-171.

Chainais-Hillairet, C., Droniou, J., 2007, Convergence analysis of a mixed finite volume scheme for an elliptic-parabolic system modeling miscible fluid flows in porous media, Siam Journal On Numerical Analysis [P], vol 45, issue 5, Siam Publications, USA, pp. 2228-2258.

Droniou, J., Prignet, A., 2007, Equivalence between entropy and renormalized solutions for parabolic equations with smooth measure data, Nodea-Nonlinear Differential Equations And Applications [P], vol 14, issue 1-2, Birkhauser Verlag AG, Switzerland, pp. 181-205.

Alibaud, N., Droniou, J., Vovelle, J., 2007, Occurrence and non-appearance of shocks in fractal Burgers equations, Journal of Hyperbolic Differential Equations [P], vol 4, issue 3, World Scientific Publishing, Singapore, pp. 479-499.

Teaching Commitment

MTH2140-3140 (Real Analysis) - coordinator

MTH2021 (Linear Algebra with Applications)

MTH3032 (Differential Equations with modelling) - coordinator

M4022 (Partial Differential Equations) - coordinator

Activities

Editorships of academic journals

From: 01/01/2013
Monash
Editor of M2AN (Mathematical Modelling and Numerical Analysis)
http://www.esaim-m2an.org/action/displayJournal?jid=MZA

Languages

• French
• English

Citizenship

• Citizen of France

Postgraduate Research Supervisions

Current Supervision

Program of Study:

(DOCTORATE BY RESEARCH).

Thesis Title:

Theoretical and numerical analysis of porous media flow models.

Supervisors:

Droniou, J (Main), Page, M (Associate).