A. Bargiela and G. D. Hainsworth, Pressure and Flow Uncertainty in Water Systems, Journal of Water Resources Planning and Management, vol.115, issue.2, pp.212-229, 1989.
DOI : 10.1061/(ASCE)0733-9496(1989)115:2(212)

C. A. Bush and J. G. Uber, Sampling Design Methods for Water Distribution Model Calibration, Journal of Water Resources Planning and Management, vol.124, issue.6, pp.334-344, 1998.
DOI : 10.1061/(ASCE)0733-9496(1998)124:6(334)

O. Chesneau, B. Brémond, and O. Piller, Calibration methodology for a residual chlorine decreasing model in drinking water networks, World Water and Environmental Resources Congress, 2003.

S. Descombes and M. Massot, Operator splitting for nonlinear reaction-diffusion systems with an entropic structure : singular perturbation and order reduction, Numerische Mathematik, vol.97, issue.4, pp.667-698, 2004.
DOI : 10.1007/s00211-003-0496-3

URL : https://hal.archives-ouvertes.fr/hal-00188449

G. Gancel, Modélisation d'unprobì eme inverse pour la qualité de l'eau dans les réseaux d'eau potable, 2006.

G. Gancel, I. Mortazavi, and O. Piller, Sensitivity assessment for quality modelling for water distribution systems, Appllied Math. Letters, vol.10, pp.1313-1319, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00383558

F. M. Holly and A. Preissmann, Accurate calculation of transport in two dimensions, Journal of Hydraulics Division, vol.103, issue.HY11, pp.1259-1277, 1977.

M. R. Islam and H. Chaudhry, Modeling of Constituent Transport in Unsteady Flows in Pipe Networks, Journal of Hydraulic Engineering, vol.124, issue.11, pp.1115-1124, 1998.
DOI : 10.1061/(ASCE)0733-9429(1998)124:11(1115)

Z. Kapelan, Calibration of Water Distribution System Hydraulic Models, 2002.

O. Piller, Modeling the behavior of a network -Hydraulic analysis and a sampling procedure for estimating the parameters, 1995.

O. Piller, Modélisation de la qualité avec cinétique d'ordre supérieur oú egal ` a un, 1996.

O. Piller, Intégration d'un module qualité dans la cha??necha??ne porteau pour windows, 1997.

O. Piller, B. Brémond, and P. Morel, A spatial sampling procedure for physical diagnosis in a drinking water supply network, Intl. Conf. Computing Control Water Indust CCWI, pp.309-316, 1999.

J. C. Powell and J. R. West, Performance of Various Kinetic Models for Chlorine Decay, Journal of Water Resources Planning and Management, vol.126, issue.1, pp.13-20, 2000.
DOI : 10.1061/(ASCE)0733-9496(2000)126:1(13)

P. Rasetarinera, Etude Mathématique et Numérique de la Restauration Biologique en Milieu Poreux, 1995.

L. A. Rossman and P. F. Boulos, Numerical Methods for Modeling Water Quality in Distribution Systems: A Comparison, Journal of Water Resources Planning and Management, vol.122, issue.2, pp.137-146, 1996.
DOI : 10.1061/(ASCE)0733-9496(1996)122:2(137)

B. Sportisse, An Analysis of Operator Splitting Techniques in the Stiff Case, Journal of Computational Physics, vol.161, issue.1, pp.140-168, 2000.
DOI : 10.1006/jcph.2000.6495

URL : https://hal.archives-ouvertes.fr/inria-00532739

G. Strang, Accurate partial difference methods I: Linear cauchy problems, Archive for Rational Mechanics and Analysis, vol.1, issue.1, pp.392-402, 1963.
DOI : 10.1007/BF00281235

G. Strang, On the Construction and Comparison of Difference Schemes, SIAM Journal on Numerical Analysis, vol.5, issue.3, pp.506-517, 1968.
DOI : 10.1137/0705041

P. K. Sweby, High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws, SIAM Journal on Numerical Analysis, vol.21, issue.5, pp.995-1011, 1984.
DOI : 10.1137/0721062

V. G. Tzatchkov, . Aldama, A. Alvaro, and F. I. Arreguin, Advection-Dispersion-Reaction Modeling in Water Distribution Networks, Journal of Water Resources Planning and Management, vol.128, issue.5, pp.334-343, 2002.
DOI : 10.1061/(ASCE)0733-9496(2002)128:5(334)

B. Van-leer, Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme, Journal of Computational Physics, vol.14, issue.4, pp.361-370, 1974.
DOI : 10.1016/0021-9991(74)90019-9

H. C. Yee, A study of numerical methods for hyperbolic conservation laws with stiff source terms, Journal of Computationnal Physics, vol.186, pp.187-210, 1988.

O. Chesneau, B. Brémond, and O. Piller, Calibration methodology for a residual chlorine decreasing model in drinking water networks, World Water and Environmental Resources Congress, 2003.

S. Descombes and M. Massot, Operator splitting for nonlinear reaction-diffusion systems with an entropic structure : singular perturbation and order reduction, Numerische Mathematik, vol.97, issue.4, pp.667-698, 2004.
DOI : 10.1007/s00211-003-0496-3

URL : https://hal.archives-ouvertes.fr/hal-00188449

G. Gancel, Modélisation d'unprobì eme inverse pour la qualité de l'eau dans les réseaux d'eau potable, 2006.

G. Gancel, I. Mortazavi, and O. Piller, Sensitivity assessment for quality modelling for water distribution systems, Appllied Math. Letters, vol.10, pp.1313-1319, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00383558

F. M. Holly and A. Preissmann, Accurate calculation of transport in two dimensions, Journal of Hydraulics Division, vol.103, issue.HY11, pp.1259-1277, 1977.

M. R. Islam and H. Chaudhry, Modeling of Constituent Transport in Unsteady Flows in Pipe Networks, Journal of Hydraulic Engineering, vol.124, issue.11, pp.1115-1124, 1998.
DOI : 10.1061/(ASCE)0733-9429(1998)124:11(1115)

Z. Kapelan, Calibration of Water Distribution System Hydraulic Models, 2002.

O. Piller, Modeling the behavior of a network -Hydraulic analysis and a sampling procedure for estimating the parameters, 1995.

O. Piller, Modélisation de la qualité avec cinétique d'ordre supérieur oú egal ` a un, 1996.

O. Piller, Intégration d'un module qualité dans la cha??necha??ne porteau pour windows, 1997.

O. Piller, B. Brémond, and P. Morel, A spatial sampling procedure for physical diagnosis in a drinking water supply network, Intl. Conf. Computing Control Water Indust CCWI, pp.309-316, 1999.

J. C. Powell and J. R. West, Performance of Various Kinetic Models for Chlorine Decay, Journal of Water Resources Planning and Management, vol.126, issue.1, pp.13-20, 2000.
DOI : 10.1061/(ASCE)0733-9496(2000)126:1(13)

P. Rasetarinera, Etude Mathématique et Numérique de la Restauration Biologique en Milieu Poreux, 1995.

L. A. Rossman and P. F. Boulos, Numerical Methods for Modeling Water Quality in Distribution Systems: A Comparison, Journal of Water Resources Planning and Management, vol.122, issue.2, pp.137-146, 1996.
DOI : 10.1061/(ASCE)0733-9496(1996)122:2(137)

B. Sportisse, An Analysis of Operator Splitting Techniques in the Stiff Case, Journal of Computational Physics, vol.161, issue.1, pp.140-168, 2000.
DOI : 10.1006/jcph.2000.6495

URL : https://hal.archives-ouvertes.fr/inria-00532739

G. Strang, Accurate partial difference methods I: Linear cauchy problems, Archive for Rational Mechanics and Analysis, vol.1, issue.1, pp.392-402, 1963.
DOI : 10.1007/BF00281235

G. Strang, On the Construction and Comparison of Difference Schemes, SIAM Journal on Numerical Analysis, vol.5, issue.3, pp.506-517, 1968.
DOI : 10.1137/0705041

P. K. Sweby, High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws, SIAM Journal on Numerical Analysis, vol.21, issue.5, pp.995-1011, 1984.
DOI : 10.1137/0721062

V. G. Tzatchkov, . Aldama, A. Alvaro, and F. I. Arreguin, Advection-Dispersion-Reaction Modeling in Water Distribution Networks, Journal of Water Resources Planning and Management, vol.128, issue.5, pp.334-343, 2002.
DOI : 10.1061/(ASCE)0733-9496(2002)128:5(334)

B. Van-leer, Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme, Journal of Computational Physics, vol.14, issue.4, pp.361-370, 1974.
DOI : 10.1016/0021-9991(74)90019-9

H. C. Yee, A study of numerical methods for hyperbolic conservation laws with stiff source terms, Journal of Computationnal Physics, vol.186, pp.187-210, 1988.