A formalism for the differentiation of conservation laws, Compte rendu de l'Académie des Sciences, pp.839-845, 2002. ,
DOI : 10.1016/S1631-073X(02)02574-8
A PDE Sensitivity Equation Method for Optimal Aerodynamic Design, Journal of Computational Physics, vol.136, issue.2, pp.366-384, 1997. ,
DOI : 10.1006/jcph.1997.5743
Nonlinear stability of finite Volume Methods for hyperbolic conservation laws: And Well-Balanced schemes for sources, 2004. ,
DOI : 10.1007/b93802
Numerical Approximations of Pressureless and Isothermal Gas Dynamics, SIAM Journal on Numerical Analysis, vol.41, issue.1, pp.135-158, 2003. ,
DOI : 10.1137/S0036142901398040
Sensitivity Analysis for the Euler Equations in Lagrangian Coordinates, International Conference on Finite Volumes for Complex Applications, pp.71-79, 2017. ,
DOI : 10.1016/j.advwatres.2007.03.004
URL : https://hal.archives-ouvertes.fr/hal-01589337
Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling. Interfaces and Free Boundaries, pp.197-221, 2008. ,
Beyond pressureless gas dynamics: quadrature-based velocity moment models, Communications in Mathematical Sciences, vol.10, issue.4, pp.1241-1272, 2012. ,
DOI : 10.4310/CMS.2012.v10.n4.a11
URL : https://hal.archives-ouvertes.fr/hal-00535782
A sensitivity equation method for fast evaluation of nearby flows and uncertainty analysis for shape parameters, International Journal of Computational Fluid Dynamics, vol.20, issue.7, pp.497-512, 2006. ,
DOI : 10.1002/nme.1620330703
An Improved Continuous Sensitivity Equation Method for Optimal Shape Design in Mixed Convection, Numerical Heat Transfer, Part B: Fundamentals, vol.50, issue.1, pp.1-24, 2006. ,
DOI : 10.1016/j.jcp.2003.09.008
Multivalued solutions to some non-linear and non-strictly hyperbolic systems, Japan Journal of Industrial and Applied Mathematics, vol.73, issue.115, 1992. ,
DOI : 10.1007/978-1-4684-0152-3
Upwind finite volume solution of sensitivity equations for hyperbolic systems of conservation laws with discontinuous solutions, Computers & Fluids, vol.38, issue.9, pp.1697-1709, 2009. ,
DOI : 10.1016/j.compfluid.2009.03.002
An approximate Riemann solver for sensitivity equations with discontinuous solutions, Advances in Water Resources, vol.32, issue.1, pp.61-77, 2009. ,
DOI : 10.1016/j.advwatres.2008.10.002
URL : https://hal.archives-ouvertes.fr/hal-01196940
Sensitivity equations for hyperbolic conservation law-based flow models Advances in water resources, pp.1943-1961, 2007. ,
On upstream differencing and godunov-type schemes for hyperbolic conservation laws, Upwind and High-Resolution Schemes, pp.53-79, 1997. ,
A continuous sensitivity equation method for time-dependent incompressible laminar flows, International Journal for Numerical Methods in Fluids, vol.26, issue.7, pp.817-844, 2004. ,
DOI : 10.1002/fld.1079
Aerodynamic design via control theory, Journal of Scientific Computing, vol.3, pp.97-0101233, 1988. ,
A riemann problem whose viscosity solutions contain -measures, Asymptotic Analysis, vol.7, issue.2, pp.105-120, 1993. ,
An existence and uniqueness result for two nonstrictly hyperbolic systems, ima volumes in math. and its appl. 27. Nonlinear evolution equations that change type, pp.126-138, 1990. ,
Applied Optimal Shape Design for Fluids, 2001. ,
On optimum design in fluid mechanics, Journal of Fluid Mechanics, vol.59, issue.01, 1974. ,
DOI : 10.1007/BF00284188
Riemann solvers and numerical methods for fluid dynamics: a practical introduction, 2013. ,
New developments of delta shock waves and its applications in systems of conservation laws, Journal of Differential Equations, vol.252, issue.11, pp.5951-5993, 2012. ,
DOI : 10.1016/j.jde.2012.02.015