A semi-intrusive deterministic approach to uncertainty quantification in non-linear fluid flow problems, J. Comput. Physics, 2012. ,
DOI : 10.1016/j.jcp.2012.07.041
URL : https://hal.archives-ouvertes.fr/hal-00913846
Sensitivity calculations for conservation laws with application to discontinuous fluid flows, 1997. ,
A PDE sensitivity equation method for optimal aerodynamic design, Journal of Computational Physics, vol.1, issue.2, pp.3-6, 1997. ,
DOI : 10.1006/jcph.1997.5743
URL : http://historical.ncstrl.org/tr/pdf/icase/TR-96-44.pdf
Numerical approximations of pressureless and isothermal gas dynamics, SIAM Journal on Numerical Analysis,4, vol.1, issue.1, pp.1-3, 2003. ,
DOI : 10.1137/s0036142901398040
Nonlinear stability of finite Volume Methods for hyperbolic conservation laws: And Well-Balanced schemes for sources, 2004. ,
DOI : 10.1007/b93802
A formalism for the differentiation of conservation laws, Compte rendu de l'Académie des Sciences, vol.3, issue.3, pp.3-9, 2002. ,
Monte Carlo statistical methods, 1999. ,
Sensitivity analysis and numerical diffusion effects for hyperbolic pde systems with discontinuous solutions. the case of barotropic euler equations in lagrangian coordinates, SIAM Journal on Scientific Computing, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01589337
Sensitivity analysis for the Euler equations in Lagrangian coordinates, International Conference on Finite Volumes for Complex Applications, pp.71-79, 2017. ,
DOI : 10.1007/978-3-319-57394-6_8
URL : https://hal.archives-ouvertes.fr/hal-01589307
Godunov scheme and sampling technique for computing phase transitions in traffic flow modeling. Interfaces and Free Boundaries, vol.1, 1921. ,
DOI : 10.4171/ifb/186
URL : http://www.ems-ph.org/journals/show_pdf.php?issn=1463-9963&vol=10&iss=2&rank=4
Random choice solution of hyperbolic systems, Journal of Computational Physics, vol.2, issue.4, pp.5-6 ,
DOI : 10.1016/0021-9991(76)90047-4
URL : http://www.math.berkeley.edu/%7Echorin/C76.pdf
Beyond pressureless gas dynamics: quadrature-based moment models, Communications in Mathematical Sciences, vol.1, issue.4, p.0 ,
URL : https://hal.archives-ouvertes.fr/hal-00535782
Propagation de la sensibilité dans les modèles hydrodynamiques, 2014. ,
A sensitivity equation method for fast evaluation of nearby flows and uncertainty analysis for shape parameters, Int. J. of CFD, vol.2, issue.7, p.0 ,
URL : https://hal.archives-ouvertes.fr/hal-01730821
An improved continuous sensitivity equation method for optimal shape design in mixed convection, Numerical Heat Transfer part B : Fundamentals,5, vol.0, issue.1, pp.1-2 ,
URL : https://hal.archives-ouvertes.fr/hal-01730842
Optimization of running strategies according to the physiological parameters for a two-runners model, Bulletin of mathematical biology, vol.79, issue.1, pp.143-162, 2017. ,
Multivalued solutions to some non-linear and non-strictly hyperbolic systems, Japan journal of industrial and applied mathematics, vol.9, issue.1, pp.1-1 ,
An approximate riemann solver for sensitivity equations with discontinuous solutions, Advances in Water Resources, vol.2, issue.3, p.9 ,
URL : https://hal.archives-ouvertes.fr/hal-01196940
Sensitivity equations for hyperbolic conservation law-based flow models, Advances in water resources, vol.30, issue.9, pp.1943-1961, 2007. ,
Solutions in the large for nonlinear hyperbolic systems of equations, Communications on pure and applied mathematics, vol.1, issue.4, pp.1-9 ,
Analytic adjoint solutions for the quasi-onedimensional Euler equations, Journal of Fluid Mechanics, vol.426, pp.327-345, 2001. ,
Numerical approximation of hyperbolic systems of conservation laws, 1996. ,
Upwind finite volume solution of sensitivity equations for hyperbolic systems of conservation laws with discontinuous solutions, Computers &F l u i d s ,3, vol.8, issue.9 ,
Perspectives in flow control and optimization, 2003. ,
A continuous sensitivity equation method for time-dependent incompressible laminar flows, Int. J. for Numerical Methods in Fluids ,
Self adjusting grid methods for one-dimensional hyperbolic conservation laws, Journal of computational Physics, vol.5, issue.0, pp.5-269, 1983. ,
On upstream differencing and Godunov-type schemes for hyperbolic conservation laws, SIAM review, vol.25, issue.1, pp.35-61, 1983. ,
On upstream differencing and godunov-type schemes for hyperbolic conservation laws, Upwind and HighResolution Schemes, pp.53-79, 1997. ,
DOI : 10.1007/978-3-642-60543-7_4
Automatic differentiation and Navier-Stokes computations, Computational Methods for Optimal Design and Control, pp.265-284, 1998. ,
Aerodynamic design via control theory, Journal of Scientific Computing, vol.3, issue.9, pp.3-5 ,
A riemann problem whose viscosity solutions contain ?measures, Asymptotic Analysis, vol.7, issue.2, 1993. ,
Uncertainty propagation in CFD using polynomial chaos decomposition, Fluid Dynamics Research, vol.3, issue.9, pp.6-7, 2006. ,
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. ,
Hyperbolic Systems of Conservation Laws: The theory of classical and nonclassical shock waves, 2002. ,
On the use of second-order derivative and metamodel-based monte-carlo for uncertainty estimation in aerodynamics, Computers and Fluids, vol.3, issue.6 ,
Applied Optimal Shape Design for Fluids, 2001. ,
A shock-fitting technique for 2D unstructured grids, Computers & Fluids,3, vol.8, issue.3, 1972. ,
On optimum design in fluid mechanics, J. Fluid Mechanics, issue.64, 1974. ,
Approach for uncertainty propagation and robust design in cfd using sensitivity derivatives, 15th AIAA Computational Fluid Dynamics Conference, 2001. ,
Approximate Riemann solvers, parameter vectors, and difference schemes, Journal of computational physics, vol.4, issue.2, pp.3-5 ,
The effect of shocks on second order sensitivities for the quasi-one-dimensional euler equations, Journal of Computational Physics, vol.2, issue.2, p.0 ,
Riemann solvers and numerical methods for fluid dynamics: a practical introduction, 2009. ,
Riemann solvers and numerical methods for fluid dynamics: a practical introduction, 2013. ,
Sensitivity and uncertainty analysis for variable property flows, 39th AIAA Aerospace Sciences Meeting and Exhibit, 2001. ,
Towards stochastic fluid mechanics via polynomial chaos, 41st AIAA Aerospace Sciences Meeting and Exhibit, 2003. ,
Uncertainty analysis for fluid mechanics with applications, 2002. ,
Modeling uncertainty in flow simulations via generalized polynomial chaos, Journal of Computational Physics, issue.1, pp.1-3, 2003. ,
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. ,
Optimization of running strategies based on anaerobic energy and variations of velocity, SIAM Journal on Applied Mathematics, vol.74, issue.5, pp.1615-1636, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00851182
A mathematical model for the force and energetics in competitive running, Journal of mathematical biology, vol.3, issue.8, pp.3-8 ,
BOCOPA toolbox for optimal control problems ,
channel: Athletics. Men's 1500m Final IAAF Diamond League Rome, 2014. ,
, Athletics Gymnastics Aquatics. AthleticsMen's 1500M-Beijing 2008 Summer Olympic Games, 2008.
Athletics Men's 1500m Final (Day 6) | 28th SEA Games Singapore, 2015. ,
Oxygen uptake and blood metabolic responses to a 400-m run, European journal of applied physiology, vol.1, issue.0, 1924. ,
URL : https://hal.archives-ouvertes.fr/hal-01623862
Pacing strategy and VO2 kinetics during a 1500-m race, International journal of sports medicine, vol.2, issue.3, pp.0-6, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-01623759
Effects of optimal pacing strategies for 400-, 800-, and 1500-m races on the VO2 response, Journal of sports sciences, vol.2, issue.9, 1991. ,
URL : https://hal.archives-ouvertes.fr/hal-01587064
Optimal velocity in a race, American Mathematical Monthly, pp.474-480, 1974. ,
Reduction of wind resistance and power output of racing cyclists and runners travelling in groups, Ergonomics, vol.2, issue.4, pp.3-8 ,
The effect of fatigue on running strategies, SIAM review, vol.3, pp.3-3, 1989. ,
A three component model of human bioenergetics, Journal of mathematical biology, vol.2, issue.4, pp.4-5 ,
A 3-parameter critical power model, Ergonomics, vol.3, issue.4, pp.6-7, 1996. ,
The critical power and related whole-body bioenergetic models, European journal of applied physiology, vol.9, issue.4, pp.3-3, 1954. ,
Optimal strategies for a two-runner model of middle-distance running, SIAM Journal on Applied Mathematics ,
The influence of wind resistance in running and walking and the mechanical efficiency of work against horizontal or vertical forces, The Journal of Physiology, vol.2, issue.1, pp.5-7 ,
The effects of wind and altitude in the 400-m sprint, Journal of sports sciences, vol.2, issue.2, pp.1-1 ,
Pacing in olympic track races: competitive tactics versus best performance strategy, Journal of sports sciences, vol.30, issue.11, pp.1107-1115, 2012. ,
Oxygen uptake response to an 800-m running race, International journal of sports medicine, vol.2, issue.4, 1927. ,
URL : https://hal.archives-ouvertes.fr/hal-01587089
A mathematical theory of running, based on the first law of thermodynamics, and its application to the performance of world-class athletes, Journal of biomechanics,1, vol.8, issue.5, pp.1-9 ,
The optimal strategy for running a race (a mathematical model for world records from 50 m to 275 km), Mathematical and computer modelling, vol.15, issue.10, pp.1-12, 1991. ,