W. F. Ames, Numerical methods for partial differential equations, 1977.

M. Bernard, S. Dellacherie, G. Faccanoni, B. Grec, O. Lafitte et al., Study of a low Mach nuclear core model for single-phase flows, ESAIM:Proc, pp.118-134, 2012.
DOI : 10.1051/proc/201238007
URL : https://hal.archives-ouvertes.fr/hal-00662978

M. Bernard, S. Dellacherie, G. Faccanoni, B. Grec, and Y. Penel, Study of a low Mach nuclear core model for two-phase flows with phase transition I: stiffened gas law, ESAIM: Mathematical Modelling and Numerical Analysis, vol.48, issue.6, pp.1639-1679, 2014.
DOI : 10.1051/m2an/2014015
URL : https://hal.archives-ouvertes.fr/hal-00747616

S. Dellacherie, On a low Mach nuclear core model, ESAIM:Proc, pp.79-106, 2012.
DOI : 10.1051/proc/201235005

S. Dellacherie, G. Faccanoni, B. Grec, E. Nayir, and Y. Penel, 2D Numerical simulation of a low mach nuclear core model with stiffened gas using freefem++, ESAIM:ProcS, pp.138-147, 2014.
DOI : 10.1051/proc/201445014
URL : https://hal.archives-ouvertes.fr/hal-00942569

S. Dellacherie, G. Faccanoni, B. Grec, and Y. Penel, Study of a low Mach nuclear core model for two-phase flows with phase transition II: tabulated equation of state, 2016.

S. Dellacherie and O. Lafitte, Une solution explicite monodimensionnelle d???un mod??le simplifi?? de couplage stationnaire thermohydraulique???neutronique, Annales math??matiques du Qu??bec, vol.62, 2016.
DOI : 10.1007/s40316-016-0073-7
URL : https://hal.archives-ouvertes.fr/hal-01263642/document

P. Embid, Well-posedness of the nonlinear equations for zero mach number combustion, Communications in Partial Differential Equations, vol.20, issue.11, pp.1227-1283, 1987.
DOI : 10.1137/0142059

J. M. Gonzalez-santalo and R. T. Lahey, An Exact Solution for Flow Transients in Two-Phase Systems by the Method of Characteristics, Journal of Heat Transfer, vol.95, issue.4, pp.470-476, 1973.
DOI : 10.1115/1.3450091

F. Hecht, New development in freefem++, Journal of Numerical Mathematics, vol.20, issue.3-4, pp.251-266, 2012.
DOI : 10.1515/jnum-2012-0013

S. Klainerman and A. Majda, Compressible and incompressible fluids, Communications on Pure and Applied Mathematics, vol.33, issue.5, pp.629-651, 1982.
DOI : 10.1002/cpa.3160350503

R. Klein, Semi-implicit extension of a godunov-type scheme based on low mach number asymptotics I: One-dimensional flow, Journal of Computational Physics, vol.121, issue.2, pp.213-237, 1995.
DOI : 10.1016/S0021-9991(95)90034-9

A. Majda and J. Sethian, The Derivation and Numerical Solution of the Equations for Zero Mach Number Combustion, Combustion Science and Technology, vol.6, issue.3-4, pp.3-4185, 1985.
DOI : 10.1080/00102208508960376

Y. Penel, S. Dellacherie, and B. Després, Coupling strategies for compressible-low Mach number flows, Mathematical Models and Methods in Applied Sciences, vol.25, issue.06, p.1045, 2015.
DOI : 10.1142/S021820251550027X
URL : https://hal.archives-ouvertes.fr/hal-00922770

O. Pironneau, On the transport-diffusion algorithm and its applications to the Navier-Stokes equations, Numerische Mathematik, vol.March, issue.3
DOI : 10.1007/BF01396435