Bibliography
Publications of the year
Articles in International Peer-Reviewed Journals
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1A. Aggarwal, P. Goatin.
Crowd Dynamics through Non-Local Conservation Laws, in: Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society, 2016, vol. 47, pp. 37 - 50. [ DOI : 10.1007/s00574-016-0120-7 ]
https://hal.inria.fr/hal-01402613 -
2A. Benki, A. Habbal, G. Mathis.
Computational design of an automotive twist beam, in: journal of computational design and engineering, 2016, vol. 3, pp. 215 - 225. [ DOI : 10.1016/j.jcde.2016.01.003 ]
https://hal.inria.fr/hal-01405109 -
3S. Blandin, P. Goatin.
Well-posedness of a conservation law with non-local flux arising in traffic flow modeling, in: Numerische Mathematik, 2016. [ DOI : 10.1007/s00211-015-0717-6 ]
https://hal.inria.fr/hal-00954527 -
4M. L. Delle Monache, P. Goatin.
A numerical scheme for moving bottlenecks in traffic flow, in: Boletim da Sociedade Brasileira de Matemática / Bulletin of the Brazilian Mathematical Society, 2016, vol. 47, no 2, pp. 605–617. [ DOI : 10.1007/s00574-016-0172-8 ]
https://hal.inria.fr/hal-01402618 -
5R. Duvigneau, J. Labroquère, E. Guilmineau.
Comparison of turbulence closures for optimized active control, in: Computers and Fluids, January 2016, no 124. [ DOI : 10.1016/j.compfluid.2015.10.011 ]
https://hal.inria.fr/hal-01251823 -
6P. Goatin, S. Scialanga.
Well-posedness and finite volume approximations of the LWR traffic flow model with non-local velocity, in: Networks and Hetereogeneous Media, January 2016, vol. 11, no 1, pp. 107-121.
https://hal.archives-ouvertes.fr/hal-01234584 -
7J. A. LAVAL, G. Costeseque, B. Chilukuri.
The impact of source terms in the variational representation of traffic flow, in: Transportation Research Part B: Methodological, December 2016. [ DOI : 10.1016/j.trb.2016.09.011 ]
https://hal.inria.fr/hal-01281117 -
8E. Roca Leon, A. Le Pape, M. Costes, J.-A. Desideri, D. Alfano.
Concurrent Aerodynamic Optimization of Rotor Blades Using a Nash Game Method, in: Journal of the American Helicopter Society, April 2016, vol. 61, no 2, 13 p. [ DOI : 10.4050/JAHS.61.022009 ]
https://hal.inria.fr/hal-01410101 -
9D. Szubert, I. Asproulias, F. Grossi, R. Duvigneau, Y. Hoarau, M. Braza.
Numerical study of the turbulent transonic interaction and transition location effect involving optimisation around a supercritical airfoil, in: European Journal of Mechanics - B/Fluids, January 2016, vol. 55, no 2.
https://hal.inria.fr/hal-01251813 -
10G. Todarello, F. Vonck, S. Bourasseau, J. Peter, J.-A. Desideri.
Finite-volume goal-oriented mesh adaptation for aerodynamics using functional derivative with respect to nodal coordinates, in: Journal of Computational Physics, May 2016, vol. 313, 21 p. [ DOI : 10.1016/j.jcp.2016.02.063 ]
https://hal.inria.fr/hal-01410153
International Conferences with Proceedings
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11A. Leroyer, P. Queutey, R. Duvigneau.
Towards performance optimisation in kayak using CFD, in: 15ème Journées de l'Hydrodynamique, Brest, France, November 2016.
https://hal.inria.fr/hal-01387792 -
12M. Sacher, F. Hauville, R. Duvigneau, O. Le Maître, N. AUBIN.
Experimental and numerical optimizations of an upwind mainsail trimming, in: The 22nd Chesapeake Sailing Yacht Symposium, Chesapeake, United Kingdom, March 2016.
https://hal.inria.fr/hal-01387783
Conferences without Proceedings
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13M. Ayadi, A. Habbal, B. Yahyaoui.
Modeling the dynamics of cell-sheet : From Fisher-KPP equation to bio-mechano-chemical systems: Fisher-KPP equation to study some predictions on the injured cell sheet, in: 13th African Conference on Research in Computer Science and Applied Mathematics, Autrans, Tunisia, October 2016.
https://hal.inria.fr/hal-01405266 -
14G. Costeseque, A. DURET.
Mesoscopic multiclass traffic flow modeling on multi-lane sections, in: 95th annual meeting transportation research board - TRB, Washington DC, United States, January 2016, 27 p.
https://hal.archives-ouvertes.fr/hal-01250438 -
15R. Duvigneau, J.-A. Désidéri.
Effective improvement of aerodynamic performance over a parameter interval, in: SIAM Uncertainty Quantification, Lausanne, Switzerland, March 2016.
https://hal.inria.fr/hal-01387768 -
16A. Habbal, M. Kallel, R. Chamekh.
A Nash-game approach to solve the Coupled problem of conductivity identification and data completion, in: PICOF 2016 Problèmes Inverses, Contrôle et Optimisation de Forme, Autrans, France, June 2016.
https://hal.inria.fr/hal-01405232 -
17A. Habbal, M. Kallel, R. Chamekh, N. Zemzemi.
Decentralized Strategies for Ill Posed Inverse Problems, in: 5th International Conference on Engineering Optimization, Iguassu Falls, Brazil, June 2016.
https://hal.inria.fr/hal-01405282 -
18A. Leroyer, R. Duvigneau, P. Queutey, J.-P. Crochet, C. Rouffet.
Toward Optimization Using Unsteady CFD Simulation Around Kayak Hull, in: 11th conference of the International Sports Engineering Association, ISEA 2016, Delft, Netherlands, July 2016.
https://hal.inria.fr/hal-01387789
Scientific Books (or Scientific Book chapters)
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19J.-A. Desideri, R. Duvigneau.
Parametric optimization of pulsating jets in unsteady flow by Multiple-Gradient Descent Algorithm (MGDA), in: Numerical Methods for Differential Equations, Optimization, and Technological Problems, Modeling, Simulation and Optimization for Science and Technology, J. Périaux, W. Fitzgibbon, B. Chetverushkin, O. Pironneau (editors), January 2017.
https://hal.inria.fr/hal-01414741
Internal Reports
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20J.-A. Désidéri.
A quasi-Riemannian approach to constrained optimization, Inria Sophia Antipolis, December 2016, no RR-9007.
https://hal.inria.fr/hal-01417428
Other Publications
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21C. Chalons, P. Goatin, L. M. Villada.
High order numerical schemes for one-dimension non-local conservation laws, December 2016, working paper or preprint.
https://hal.inria.fr/hal-01418749 -
22C. De Filippis, P. Goatin.
The initial-boundary value problem for general non-local scalar conservation laws in one space dimension, September 2016, working paper or preprint.
https://hal.inria.fr/hal-01362504 -
23M. L. Delle Monache, P. Goatin.
Stability estimates for scalar conservation laws with moving flux constraints, October 2016, working paper or preprint. [ DOI : 10.3934/xx.xx.xx.xx ]
https://hal.inria.fr/hal-01380368 -
24M. L. Delle Monache, P. Goatin, B. Piccoli.
Priority-based Riemann solver for traffic flow on networks , June 2016, working paper or preprint.
https://hal.inria.fr/hal-01336823 -
25O. Kolb, S. Göttlich, P. Goatin.
Capacity drop and traffic control for a second order traffic model, November 2016, working paper or preprint.
https://hal.inria.fr/hal-01402608 -
26V. Picheny, M. Binois, A. Habbal.
A Bayesian optimization approach to find Nash equilibria, December 2016, working paper or preprint.
https://hal.inria.fr/hal-01405074 -
27A. Tordeux, G. Costeseque, M. Herty, A. Seyfried.
From traffic and pedestrian follow-the-leader models with reaction time to first order convection-diffusion flow models, December 2016, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01414839
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28R. Abgrall, P. M. Congedo.
A semi-intrusive deterministic approach to uncertainty quantification in non-linear fluid flow problems, in: J. Comput. Physics, 2012. -
29A. Aggarwal, R. M. Colombo, P. Goatin.
Nonlocal systems of conservation laws in several space dimensions, in: SIAM Journal on Numerical Analysis, 2015, vol. 52, no 2, pp. 963-983.
https://hal.inria.fr/hal-01016784 -
30G. Alessandrini.
Examples of instability in inverse boundary-value problems, in: Inverse Problems, 1997, vol. 13, no 4, pp. 887–897.
http://dx.doi.org/10.1088/0266-5611/13/4/001 -
31L. Almeida, P. Bagnerini, A. Habbal.
Modeling actin cable contraction, in: Comput. Math. Appl., 2012, vol. 64, no 3, pp. 310–321.
http://dx.doi.org/10.1016/j.camwa.2012.02.041 -
32L. Almeida, P. Bagnerini, A. Habbal, S. Noselli, F. Serman.
A Mathematical Model for Dorsal Closure, in: Journal of Theoretical Biology, January 2011, vol. 268, no 1, pp. 105-119. [ DOI : 10.1016/j.jtbi.2010.09.029 ]
http://hal.inria.fr/inria-00544350/en -
33D. Amadori, W. Shen.
An integro-differential conservation law arising in a model of granular flow, in: J. Hyperbolic Differ. Equ., 2012, vol. 9, no 1, pp. 105–131. -
34P. Amorim.
On a nonlocal hyperbolic conservation law arising from a gradient constraint problem, in: Bull. Braz. Math. Soc. (N.S.), 2012, vol. 43, no 4, pp. 599–614. -
35P. Amorim, R. Colombo, A. Teixeira.
On the Numerical Integration of Scalar Nonlocal Conservation Laws, in: ESAIM M2AN, 2015, vol. 49, no 1, pp. 19–37. -
36M. Annunziato, A. Borzì.
A Fokker-Planck control framework for multidimensional stochastic processes, in: Journal of Computational and Applied Mathematics, 2013, vol. 237, pp. 487-507. -
37A. Belme, F. Alauzet, A. Dervieux.
Time accurate anisotropic goal-oriented mesh adaptation for unsteady flows, in: J. Comput. Physics, 2012, vol. 231, no 19, pp. 6323–6348. -
38S. Benzoni-Gavage, R. M. Colombo, P. Gwiazda.
Measure valued solutions to conservation laws motivated by traffic modelling, in: Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 2006, vol. 462, no 2070, pp. 1791–1803. -
39E. Bertino, R. Duvigneau, P. Goatin.
Uncertainties in traffic flow and model validation on GPS data, In preparation. -
40F. Betancourt, R. Bürger, K. H. Karlsen, E. M. Tory.
On nonlocal conservation laws modelling sedimentation, in: Nonlinearity, 2011, vol. 24, no 3, pp. 855–885. -
41J. Borggaard, J. Burns.
A {PDE} Sensitivity Equation Method for Optimal Aerodynamic Design, in: Journal of Computational Physics, 1997, vol. 136, no 2, pp. 366 - 384. [ DOI : 10.1006/jcph.1997.5743 ]
http://www.sciencedirect.com/science/article/pii/S0021999197957430 -
42A. Borzí, P. Goatin, A. Habbal, S. Roy.
Crowd motion modeled by FPK constrained games, 2016. -
43R. Bourguet, M. Brazza, G. Harran, R. El Akoury.
Anisotropic Organised Eddy Simulation for the prediction of non-equilibrium turbulent flows around bodies, in: J. of Fluids and Structures, 2008, vol. 24, no 8, pp. 1240–1251. -
44A. Bressan, S. Čanić, M. Garavello, M. Herty, B. Piccoli.
Flows on networks: recent results and perspectives, in: EMS Surv. Math. Sci., 2014, vol. 1, no 1, pp. 47–111. -
45M. Burger, M. Di Francesco, P. A. Markowich, M.-T. Wolfram.
Mean field games with nonlinear mobilities in pedestrian dynamics, in: Discrete Contin. Dyn. Syst. Ser. B, 2014, vol. 19, no 5, pp. 1311–1333. -
46M. Burger, J. Haskovec, M.-T. Wolfram.
Individual based and mean-field modelling of direct aggregation, in: Physica D, 2013, vol. 260, pp. 145–158. -
47A. Cabassi, P. Goatin.
Validation of traffic flow models on processed GPS data, 2013, Research Report RR-8382. -
48J. A. Carrillo, S. Martin, M.-T. Wolfram.
A local version of the Hughes model for pedestrian flow, 2015, Preprint. -
49C. Chalons, M. L. Delle Monache, P. Goatin.
A conservative scheme for non-classical solutions to a strongly coupled PDE-ODE problem, 2015, Preprint. -
50C. Claudel, A. Bayen.
Lax-Hopf Based Incorporation of Internal Boundary Conditions Into Hamilton-Jacobi Equation. Part II: Computational Methods, in: Automatic Control, IEEE Transactions on, May 2010, vol. 55, no 5, pp. 1158-1174. -
51C. G. Claudel, A. M. Bayen.
Convex formulations of data assimilation problems for a class of Hamilton-Jacobi equations, in: SIAM J. Control Optim., 2011, vol. 49, no 2, pp. 383–402. -
52R. M. Colombo, M. Garavello, M. Lécureux-Mercier.
A CLASS OF NONLOCAL MODELS FOR PEDESTRIAN TRAFFIC, in: Mathematical Models and Methods in Applied Sciences, 2012, vol. 22, no 04, 1150023 p. -
53R. M. Colombo, M. Herty, M. Mercier.
Control of the continuity equation with a non local flow, in: ESAIM Control Optim. Calc. Var., 2011, vol. 17, no 2, pp. 353–379. -
54R. M. Colombo, M. Lécureux-Mercier.
Nonlocal crowd dynamics models for several populations, in: Acta Math. Sci. Ser. B Engl. Ed., 2012, vol. 32, no 1, pp. 177–196. -
55R. M. Colombo, F. Marcellini.
A mixed ODEâPDE model for vehicular traffic, in: Mathematical Methods in the Applied Sciences, 2015, vol. 38, no 7, pp. 1292–1302. -
56R. M. Colombo, E. Rossi.
On the micro-macro limit in traffic flow, in: Rend. Semin. Mat. Univ. Padova, 2014, vol. 131, pp. 217–235. -
57G. Costeseque, J.-P. Lebacque.
Discussion about traffic junction modelling: conservation laws vs Hamilton-Jacobi equations, in: Discrete Contin. Dyn. Syst. Ser. S, 2014, vol. 7, no 3, pp. 411–433. -
58G. Crippa, M. Lécureux-Mercier.
Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow, in: Nonlinear Differential Equations and Applications NoDEA, 2012, pp. 1-15. -
59E. Cristiani, B. Piccoli, A. Tosin.
How can macroscopic models reveal self-organization in traffic flow?, in: Decision and Control (CDC), 2012 IEEE 51st Annual Conference on, Dec 2012, pp. 6989-6994. -
60E. Cristiani, B. Piccoli, A. Tosin.
Multiscale modeling of pedestrian dynamics, MS&A. Modeling, Simulation and Applications, Springer, Cham, 2014, vol. 12, xvi+260 p. -
61C. M. Dafermos.
Solutions in for a conservation law with memory, in: Analyse mathématique et applications, Montrouge, Gauthier-Villars, 1988, pp. 117–128. -
62P. Degond, J.-G. Liu, C. Ringhofer.
Large-scale dynamics of mean-field games driven by local Nash equilibria, in: J. Nonlinear Sci., 2014, vol. 24, no 1, pp. 93–115.
http://dx.doi.org/10.1007/s00332-013-9185-2 -
63M. L. Delle Monache, P. Goatin.
A front tracking method for a strongly coupled PDE-ODE system with moving density constraints in traffic flow, in: Discrete Contin. Dyn. Syst. Ser. S, 2014, vol. 7, no 3, pp. 435–447. -
64M. L. Delle Monache, P. Goatin.
Scalar conservation laws with moving constraints arising in traffic flow modeling: an existence result, in: J. Differential Equations, 2014, vol. 257, no 11, pp. 4015–4029. -
65B. Després, G. Poëtte, D. Lucor.
Robust uncertainty propagation in systems of conservation laws with the entropy closure method, in: Uncertainty quantification in computational fluid dynamics, Lect. Notes Comput. Sci. Eng., Springer, Heidelberg, 2013, vol. 92, pp. 105–149. -
66M. Di Francesco, M. D. Rosini.
Rigorous Derivation of Nonlinear Scalar Conservation Laws from Follow-the-Leader Type Models via Many Particle Limit, in: Archive for Rational Mechanics and Analysis, January 2015. [ DOI : 10.1007/s00205-015-0843-4 ] -
67R. J. DiPerna.
Measure-valued solutions to conservation laws, in: Arch. Rational Mech. Anal., 1985, vol. 88, no 3, pp. 223–270. -
68C. Dogbé.
Modeling crowd dynamics by the mean-field limit approach, in: Math. Comput. Modelling, 2010, vol. 52, no 9-10, pp. 1506–1520. -
69R. Duvigneau.
A Sensitivity Equation Method for Unsteady Compressible Flows: Implementation and Verification, Inria Research Report No 8739, June 2015. -
70R. Duvigneau, D. Pelletier.
A sensitivity equation method for fast evaluation of nearby flows and uncertainty analysis for shape parameters, in: Int. J. of Computational Fluid Dynamics, August 2006, vol. 20, no 7, pp. 497–512. -
71J.-A. Désidéri.
Multiple-gradient descent algorithm (MGDA) for multiobjective optimization, in: Comptes Rendus de l'Académie des Sciences Paris, 2012, vol. 350, pp. 313-318.
http://dx.doi.org/10.1016/j.crma.2012.03.014 -
72J.-A. Désidéri.
Multiple-Gradient Descent Algorithm (MGDA) for Pareto-Front Identification, in: Numerical Methods for Differential Equations, Optimization, and Technological Problems, Modeling, Simulation and Optimization for Science and Technology, Fitzgibbon, W.; Kuznetsov, Y.A.; Neittaanmäki, P.; Pironneau, O. Eds., Springer-Verlag, 2014, vol. 34, J. Périaux and R. Glowinski Jubilees. -
73J.-A. Désidéri.
Révision de l'algorithme de descente à gradients multiples (MGDA) par orthogonalisation hiérarchique, Inria, April 2015, no 8710, https://hal.inria.fr/hal-01139994. -
74R. Erban, M. B. Flegg, G. A. Papoian.
Multiscale stochastic reaction-diffusion modeling: application to actin dynamics in filopodia, in: Bull. Math. Biol., 2014, vol. 76, no 4, pp. 799–818.
http://dx.doi.org/10.1007/s11538-013-9844-3 -
75R. Etikyala, S. Göttlich, A. Klar, S. Tiwari.
Particle methods for pedestrian flow models: from microscopic to nonlocal continuum models, in: Math. Models Methods Appl. Sci., 2014, vol. 24, no 12, pp. 2503–2523. -
76R. Eymard, T. Gallouët, R. Herbin.
Finite volume methods, in: Handbook of numerical analysis, Vol. VII, Handb. Numer. Anal., VII, North-Holland, Amsterdam, 2000, pp. 713–1020. -
77R. Farooqui, G. Fenteany.
Multiple rows of cells behind an epithelial wound edge extend cryptic lamellipodia to collectively drive cell-sheet movement, in: Journal of Cell Science, 2005, vol. 118, no Pt 1, pp. 51-63. -
78U. Fjordholm, R. Kappeli, S. Mishra, E. Tadmor.
Construction of approximate entropy measure valued solutions for systems of conservation laws, Seminar for Applied Mathematics, ETH Zürich, 2014, no 2014-33. -
79M. B. Flegg, S. Hellander, R. Erban.
Convergence of methods for coupling of microscopic and mesoscopic reaction-diffusion simulations, in: J. Comput. Phys., 2015, vol. 289, pp. 1–17.
http://dx.doi.org/10.1016/j.jcp.2015.01.030 -
80F. Fleuret, D. Geman.
Graded learning for object detection, in: Proceedings of the workshop on Statistical and Computational Theories of Vision of the IEEE international conference on Computer Vision and Pattern Recognition (CVPR/SCTV), 1999, vol. 2. -
81B. Franz, M. B. Flegg, S. J. Chapman, R. Erban.
Multiscale reaction-diffusion algorithms: PDE-assisted Brownian dynamics, in: SIAM J. Appl. Math., 2013, vol. 73, no 3, pp. 1224–1247.
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82D. Gabay.
Minimizing a differentiable function over a differential manifold, in: J. Optim. Theory Appl., 1982, vol. 37, no 2. -
83M. Garavello, B. Piccoli.
Traffic flow on networks, AIMS Series on Applied Mathematics, American Institute of Mathematical Sciences (AIMS), Springfield, MO, 2006, vol. 1, Conservation laws models. -
84M. Garavello, B. Piccoli.
Coupling of microscopic and phase transition models at boundary, in: Netw. Heterog. Media, 2013, vol. 8, no 3, pp. 649–661. -
85E. Garnier, P. Pamart, J. Dandois, P. Sagaut.
Evaluation of the unsteady RANS capabilities for separated flow control, in: Computers & Fluids, 2012, vol. 61, pp. 39-45. -
86P. Goatin, M. Mimault.
A mixed system modeling two-directional pedestrian flows, in: Math. Biosci. Eng., 2015, vol. 12, no 2, pp. 375–392. -
87P. Goatin, F. Rossi.
A traffic flow model with non-smooth metric interaction: well-posedness and micro-macro limit, 2015, Preprint.
http://arxiv.org/abs/1510.04461 -
88A. Griewank.
Achieving logarithmic growth of temporal and spatial complexity in reverse automatic differentiation, in: Optimization Methods and Software, 1992, vol. 1, pp. 35-54. -
89M. Gröschel, A. Keimer, G. Leugering, Z. Wang.
Regularity theory and adjoint-based optimality conditions for a nonlinear transport equation with nonlocal velocity, in: SIAM J. Control Optim., 2014, vol. 52, no 4, pp. 2141–2163. -
90S. Göttlich, S. Hoher, P. Schindler, V. Schleper, A. Verl.
Modeling, simulation and validation of material flow on conveyor belts, in: Applied Mathematical Modelling, 2014, vol. 38, no 13, pp. 3295 - 3313. -
91A. Habbal, H. Barelli, G. Malandain.
Assessing the ability of the 2D Fisher-KPP equation to model cell-sheet wound closure, in: Math. Biosci., 2014, vol. 252, pp. 45–59.
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92A. Habbal, M. Kallel.
Neumann-Dirichlet Nash strategies for the solution of elliptic Cauchy problems, in: SIAM J. Control Optim., 2013, vol. 51, no 5, pp. 4066–4083.
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93X. Han, P. Sagaut, D. Lucor.
On sensitivity of RANS simulations to uncertain turbulent inflow conditions, in: Computers & Fluids, 2012, vol. 61, no 2-5. -
94D. Helbing.
Traffic and related self-driven many-particle systems, in: Rev. Mod. Phys., 2001, vol. 73, pp. 1067–1141. -
95D. Helbing, P. Molnar, I. J. Farkas, K. Bolay.
Self-organizing pedestrian movement, in: Environment and planning B, 2001, vol. 28, no 3, pp. 361–384. -
96J. C. Herrera, D. B. Work, R. Herring, X. J. Ban, Q. Jacobson, A. M. Bayen.
Evaluation of traffic data obtained via GPS-enabled mobile phones: The Mobile Century field experiment, in: Transportation Research Part C: Emerging Technologies, 2010, vol. 18, no 4, pp. 568–583. -
97S. P. Hoogendoorn, F. L. van Wageningen-Kessels, W. Daamen, D. C. Duives.
Continuum modelling of pedestrian flows: From microscopic principles to self-organised macroscopic phenomena, in: Physica A: Statistical Mechanics and its Applications, 2014, vol. 416, no 0, pp. 684 - 694. -
98H. Hristova, S. Etienne, D. Pelletier, J. Borggaard.
A continuous sensitivity equation method for time-dependent incompressible laminar flows, in: Int. J. for Numerical Methods in Fluids, 2004, vol. 50, pp. 817-844. -
99C. Imbert, R. Monneau.
Flux-limited solutions for quasi-convex Hamilton–Jacobi equations on networks, in: arXiv preprint arXiv:1306.2428, October 2014. -
100S. Jeon, H. Choi.
Suboptimal feedback control of flow over a sphere, in: Int. J. of Heat and Fluid Flow, 2010, no 31. -
101M. Kallel, R. Aboulaich, A. Habbal, M. Moakher.
A Nash-game approach to joint image restoration and segmentation, in: Appl. Math. Model., 2014, vol. 38, no 11-12, pp. 3038–3053.
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102O. Knio, O. L. Maitre.
Uncertainty propagation in CFD using polynomial chaos decomposition, in: Fluid Dynamics Research, September 2006, vol. 38, no 9, pp. 616–640. -
103S. Kravanja, G. Turkalj, S. Šilih, T. Žula.
Optimal design of single-story steel building structures based on parametric {MINLP} optimization, in: Journal of Constructional Steel Research, 2013, vol. 81, pp. 86 - 103. [ DOI : 10.1016/j.jcsr.2012.11.008 ]
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104A. Kurganov, A. Polizzi.
Non-Oscillatory Central Schemes for a Traffic Flow Model with Arrehenius Look-Ahead Dynamics, in: Netw. Heterog. Media, 2009, vol. 4, no 3, pp. 431-451. -
105A. Lachapelle, M.-T. Wolfram.
On a mean field game approach modeling congestion and aversion in pedestrian crowds, in: Transportation Research Part B: Methodological, 2011, vol. 45, no 10, pp. 1572 - 1589. -
106J.-M. Lasry, P.-L. Lions.
Mean field games, in: Jpn. J. Math., 2007, vol. 2, no 1, pp. 229–260. -
107M. J. Lighthill, G. B. Whitham.
On kinematic waves. II. A theory of traffic flow on long crowded roads, in: Proc. Roy. Soc. London. Ser. A., 1955, vol. 229, pp. 317–345. -
108G. Lin, C.-H. Su, G. Karniadakis.
Predicting shock dynamics in the presence of uncertainties, in: Journal of Computational Physics, 2006, no 217, pp. 260-276. -
109M. Martinelli, R. Duvigneau.
On the use of second-order derivative and metamodel-based Monte-Carlo for uncertainty estimation in aerodynamics, in: Computers and Fluids, 2010, vol. 37, no 6. -
110C. Merritt, F. Forsberg, J. Liu, F. Kallel.
In-vivo elastography in animal models: Feasibility studies, (abstract), in: J. Ultrasound Med., 2002, vol. 21, no 98. -
111S. Mishra, C. Schwab, J. Sukys.
Multi-level Monte Carlo finite volume methods for uncertainty quantification in nonlinear systems of balance laws, in: Lecture Notes in Computational Science and Engineering, 2013, vol. 92, pp. 225–294. [ DOI : 10.1007/978-3-319-00885-1_6 ] -
112W. Oberkampf, F. Blottner.
Issues in Computational Fluid Dynamics code verification and validation, in: AIAA Journal, 1998, vol. 36, pp. 687–695. -
113B. Perthame.
Transport equations in biology, Frontiers in Mathematics, Birkhäuser Verlag, Basel, 2007, x+198 p. -
114B. Piccoli, F. Rossi.
Transport equation with nonlocal velocity in Wasserstein spaces: convergence of numerical schemes, in: Acta Appl. Math., 2013, vol. 124, pp. 73–105. -
115N. H. Pijls, B. de Bruyne, K. Peels, P. H. van der Voort, H. J. Bonnier, J. Bartunek, J. J. Koolen.
Measurement of Fractional Flow Reserve to Assess the Functional Severity of Coronary-Artery Stenoses, in: New England Journal of Medicine, 1996, vol. 334, no 26, pp. 1703-1708, PMID: 8637515.
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