Bibliography

Publications of the year

Doctoral Dissertations and Habilitation Theses

1M. Twarogowska.

Numerical approximation and analysis of mathematical models arising in cells movement, Univ. L'Aquila, Italy, 2012.

Articles in International Peer-Reviewed Journals

2B. Andreianov, H. F. Bendahmane, S. Krell.

On 3D DDFV discretization of gradient and divergence operators. I. Meshing, operators and discrete duality., in: IMA J. N. A., 2012, vol. 32, n^o 4, p. 1574–1603. [ DOI : 10.1093/imanum/drr046 ]

http://hal.archives-ouvertes.fr/hal-00355212
3F. Berthelin, D. Broizat.

A model for the evolution of traffic jams in multi-lane, in: Kinet. Relat. Models, 2012, vol. 5, n^o 4, p. 697–728.
4C. Calgaro, E. Creusé, T. Goudon, Y. Penel.

Positivity-preserving schemes for Euler equations: sharp and practical CFL conditions, in: J. Comput. Phys., 2013, To appear.
5F. Clarelli, C. Di Russo, R. Natalini, M. Ribot.

A fluid dynamics model of the growth of phototrophic biofilms, in: J. Math. Biol., 2013, To appear.
6R. Eymard, C. Guichard, R. Herbin, R. Masson.

Vertex Centred Discretization of Multiphase Compositional Darcy Flows on General Meshes, in: Computational Geosciences, 2012, vol. 16, n^o 4, p. 987–1005.

http://hal.archives-ouvertes.fr/hal-00706244
7R. Eymard, C. Guichard, R. Herbin, R. Masson.

Vertex Centred Discretization of Two Phase Flows on General Meshes, in: ESAIM Proceedings, 2012, vol. 35, p. 59–78.

http://hal.archives-ouvertes.fr/hal-00706246
8R. Eymard, C. Guichard, R. Masson.

Grid Orientation Effect in Coupled Finite Volume Schemes, in: IMA Journal of Numerical Analysis, 2012.

http://hal.archives-ouvertes.fr/hal-00623721
9T. Goudon, J.-F. Coulombel, P. Lafitte, C. Lin.

Analysis of large amplitude shock profiles for non-equilibrium radiative hydrodynamics: formation of Zeldovich spikes, in: Shock Waves, 2012, vol. 22, n^o 3.
10T. Goudon, F. Lagoutière, L. M. Tiné.

The Lifschitz-Slyozov equation with space-diffusion of monomers, in: AIMS–Kinetic and Related Models, 2012, vol. 5, n^o 2, p. 325–355.
11T. Goudon, F. Lagoutière, L. M. Tiné.

Simulations of the Lifshitz-Slyozov equations: the role of coagulation terms in the asymptotic behavior, in: Math. Models Methods Appl. Sc., 2013, To appear.
12T. Goudon, M. Parisot.

Finite volume schemes on unstructured grids for non-local models: Application to the simulation of heat transport in plasmas, in: J. Comput. Phys., 2012, vol. 231, n^o 24, p. 8188–8208.
13T. Goudon, M. Sy, L. M. Tiné.

A fluid–kinetic model for particulate flows with coagulation and breakup: stationary solutions, stability and hydrodynamic regimes, in: SIAM. J. Appl. Math., 2013, To appear.
14S. Junca, B. Lombard.

Interaction between periodic elastic waves and two contact nonlinearities, in: Math. Models Methods Appl. Sc., 2012, vol. 22, n^o 4.
15S. Krell.

Finite volume method for general multifluid flows governed by the interface Stokes problem, in: Mathematical Models and Methods in Applied Sciences, 2012, vol. 22, n^o 2, 1150025 p. [ DOI : 10.1142/S0218202511500254 ]

http://hal.archives-ouvertes.fr/hal-00473783
16S. Krell, G. Manzini.

The Discrete Duality Finite Volume method for the Stokes equation on 3D polyhedral meshes, in: SIAM Journal on Numerical Analysis, 2012, vol. 50, n^o 2, p. 808–837. [ DOI : 10.1137/110831593 ]

http://hal.archives-ouvertes.fr/hal-00448465
17R. Natalini, M. Ribot.

An asymptotic high order mass-preserving scheme for a hyperbolic model of chemotaxis, in: SIAM J. Num. Anal., 2012, vol. 50, n^o 2, p. 883–905.

Scientific Books (or Scientific Book chapters)

18T. Goudon.

Intégration : intégrale de Lebesgue et introduction à l'analyse fonctionnelle, Références Sciences, Ellipses, 2012.

Internal Reports

19C. Bourdarias, M. Gisclon, S. Junca.

Fractional BV spaces and applications to scalar conservation laws, Univ. Nice, 2012.
20K. Brenner, R. Masson.

Convergence of a Vertex Centred Discretization of Two-Phase flows on General Meshes, Univ. Nice, 2012.

http://hal.inria.fr/hal-00755072/
21G. Bretti, R. Natalini, M. Ribot.

A hyperbolic model of chemotaxis on a network: a numerical study, Univ. Roma, 2012.

http://hal.archives-ouvertes.fr/hal-00763886
22R. Eymard, P. Féron, T. Gallouet, R. Herbin, C. Guichard.

Gradient schemes for the Stefan problem, Univ. Marne-La-Vallée, 2012.

http://hal.archives-ouvertes.fr/hal-00751555
23R. Eymard, C. Guichard, R. Herbin, R. Masson.

Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation, Univ. Marne-La-Vallée, 2012.

http://hal.archives-ouvertes.fr/hal-00740367
24M. J. Gander, F. Hubert, S. Krell.

Optimized Schwarz algorithms in the framework of DDFV schemes, Univ. Aix-Marseille, 2012, submitted, Proceedings of 21st International Conference on Domain Decomposition Methods, Rennes, France.
25A. Gloria, T. Goudon, S. Krell.

Numerical homogenization of a nonlinearly coupled elliptic-parabolic system, reduced basis method, and application to nuclear waste storage, Inria, 2012.

http://hal.archives-ouvertes.fr/hal-00674519
26P. Havé, R. Masson, F. Nataf, M. Szydlarski, T. Zhao.

Algebraic Domain Decomposition Methods for Highly Heterogeneous Problems, Univ. Nice, 2012.

http://hal.inria.fr/hal-00611997/
27S. Junca, P. Castelli.

Oscillating waves and optimal smoothing effect for one-dimensional nonlinear scalar conservation laws, Univ. Nice, 2012.
28S. Junca.

High frequency waves and the maximal smoothing effect for nonlinear scalar conservation laws, Univ. Nice, 2012, p. 1–28, hal-00576662, under revision.
29S. Junca, B. Lombard.

Stability of a critical nonlinear neutral delay differential equation, Univ. Nice, 2012, hal-00743970.
30R. Natalini, M. Ribot, M. Twarogowska.

A well-balanced numerical scheme for a one dimensional quasilinear hyperbolic model of chemotaxis, Univ. Roma, 2012.

http://hal.archives-ouvertes.fr/hal-00764086

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