-
1
-
-
84897475275
-
On numerical approximations of the Hamilton-Jacobitransport system arising in high frequency
-
Y. Achdou, F. Camilli and L. Corrias, On numerical approximations of the Hamilton-Jacobitransport system arising in high frequency, Discrete and Continuous Dynamical Systems-Series B, 19(2014), 629-650.
-
(2014)
Discrete and Continuous Dynamical Systems-Series B
, vol.19
, pp. 629-650
-
-
Achdou, Y.1
Camilli, F.2
Corrias, L.3
-
2
-
-
84890625353
-
Mean field games: Convergence of a finite difference method
-
Y. Achdou, F. Camilli and I. C. Dolcetta, Mean field games: Convergence of a finite difference method, SIAM J. Numer. Anal., 51(2013), 2585-2612.
-
(2013)
SIAM J. Numer. Anal.
, vol.51
, pp. 2585-2612
-
-
Achdou, Y.1
Camilli, F.2
Dolcetta, I.C.3
-
5
-
-
84974753170
-
Convergence of approximation schemes for fully nonlinear second order equations
-
G. Barles and P. Souganidis, Convergence of approximation schemes for fully nonlinear second order equations, Asymptotic Anal., 4(1991), 271-283.
-
(1991)
Asymptotic Anal.
, vol.4
, pp. 271-283
-
-
Barles, G.1
Souganidis, P.2
-
7
-
-
0004256573
-
-
Addison-Wesley Publishing Company, Reading, MA
-
L. Breiman, Probability, Addison-Wesley Publishing Company, Reading, MA, 1968.
-
(1968)
Probability
-
-
Breiman, L.1
-
8
-
-
0002560251
-
An approximation scheme for the optimal control of diffusion processes
-
F. Camilli and M. Falcone, An approximation scheme for the optimal control of diffusion processes, RAIRO Modél. Math. Anal. Numér., 29(1995), 97-122.
-
(1995)
RAIRO Modél. Math. Anal. Numér.
, vol.29
, pp. 97-122
-
-
Camilli, F.1
Falcone, M.2
-
9
-
-
84865538817
-
A semi-discrete in time approximation for a first order-finite mean field game problem
-
F. Camilli and F. J. Silva, A semi-discrete in time approximation for a first order-finite mean field game problem, Network and Heterogeneous Media, 7(2012), 263-277.
-
(2012)
Network and Heterogeneous Media
, vol.7
, pp. 263-277
-
-
Camilli, F.1
Silva, F.J.2
-
10
-
-
85068762191
-
Notes on Mean Field Games: From P.-L. Lions' lectures at Collège de France
-
P. Cardaliaguet, Notes on Mean Field Games: From P.-L. Lions' lectures at Collège de France, Lecture Notes given at Tor Vergata.
-
Lecture Notes Given at Tor Vergata
-
-
Cardaliaguet, P.1
-
12
-
-
84897834273
-
A fully discrete semi-lagrangian scheme for a first order mean field game problem
-
E. Carlini and F. J. Silva, A fully discrete semi-lagrangian scheme for a first order mean field game problem, SIAM Journal on Numerical Analysis, 52(2014), 45-67.
-
(2014)
SIAM Journal on Numerical Analysis
, vol.52
, pp. 45-67
-
-
Carlini, E.1
Silva, F.J.2
-
13
-
-
0004011966
-
-
North-Holland, Amsterdam, Finite element methods
-
P. G. Ciarlet and J.-L. Lions (eds.), Handbook of Numerical Analysis. Vol. II, Handbook of Numerical Analysis, II, North-Holland, Amsterdam, 1991, Finite element methods. Part 1.
-
(1991)
Handbook of Numerical Analysis. Vol. II, Handbook of Numerical Analysis, II
-
-
Ciarlet, P.G.1
Lions, J.-L.2
-
14
-
-
84967708673
-
User's guide to viscosity solutions of second order partial differential equations
-
M. Crandall, H. Ishii and P.-L. Lions, User's guide to viscosity solutions of second order partial differential equations, Bull. American Mathematical Society (New Series), 27(1992), 1-67.
-
(1992)
Bull. American Mathematical Society (New Series)
, vol.27
, pp. 1-67
-
-
Crandall, M.1
Ishii, H.2
Lions, P.-L.3
-
15
-
-
33847052505
-
Uniqueness results for second-order bellman-isaacs equations under quadratic growth assumptions and applications
-
F. Da Lio and O. Ley, Uniqueness results for second-order bellman-isaacs equations under quadratic growth assumptions and applications, SIAM Journal on Control and Optimization, 45(2006), 74-106.
-
(2006)
SIAM Journal on Control and Optimization
, vol.45
, pp. 74-106
-
-
Da Lio, F.1
Ley, O.2
-
16
-
-
84878201774
-
Semi-Lagrangian schemes for linear and fully non-linear diffusion equations
-
K. Debrabant and E. R. Jakobsen, Semi-Lagrangian schemes for linear and fully non-linear diffusion equations, Math. Comp., 82(2013), 1433-1462.
-
(2013)
Math. Comp.
, vol.82
, pp. 1433-1462
-
-
Debrabant, K.1
Jakobsen, E.R.2
-
17
-
-
84865289715
-
Semi-lagrangian approximation schemes for linear and Hamilton-Jacobi equations
-
M. Falcone and R. Ferretti, Semi-Lagrangian Approximation Schemes for Linear and Hamilton-Jacobi Equations, MOS-SIAM Series on Optimization, 2013.
-
(2013)
MOS-SIAM Series on Optimization
-
-
Falcone, M.1
Ferretti, R.2
-
18
-
-
36649027622
-
Existence and uniqueness of martingale solutions for sdes with rough or degenerate coefficients
-
A. Figalli, Existence and uniqueness of martingale solutions for sdes with rough or degenerate coefficients, J. Funct. Anal., 254(2008), 109-153.
-
(2008)
J. Funct. Anal.
, vol.254
, pp. 109-153
-
-
Figalli, A.1
-
20
-
-
84899464039
-
Mean field models, a brief survey
-
D. Gomes and J. Saúde, Mean field models, a brief survey, Dynamic Games and Applications, 4(2014), 110-154.
-
(2014)
Dynamic Games and Applications
, vol.4
, pp. 110-154
-
-
Gomes, D.1
Saúde, J.2
-
21
-
-
84864332611
-
Mean field games equations with quadratic hamiltonian: A specific approach
-
37 pp
-
O. Guéant, Mean field games equations with quadratic hamiltonian: A specific approach, Mathematical Models and Methods in Applied Sciences, 22(2012), 1250022, 37 pp.
-
(2012)
Mathematical Models and Methods in Applied Sciences
, vol.22
, pp. 1250022
-
-
Guéant, O.1
-
22
-
-
77958476920
-
Mean field games and applications
-
Springer, Berlin
-
O. Guéant, J.-M. Lasry and P.-L. Lions, Mean field games and applications, in Paris-Princeton Lectures on Mathematical Finance 2010, vol. 2003 of Lecture Notes in Math., Springer, Berlin, (2011), 205-266.
-
(2011)
Paris-Princeton Lectures on Mathematical Finance 2010, Vol. 2003 of Lecture Notes in Math.
, pp. 205-266
-
-
Guéant, O.1
Lasry, J.-M.2
Lions, P.-L.3
-
23
-
-
85128560681
-
Individual and mass behavior in large population stochastic wireless power control problems: Centralized and Nash equillibrium solutions
-
M. Huang, P. Caines and R. Malhamé, Individual and mass behavior in large population stochastic wireless power control problems: Centralized and Nash equillibrium solutions, Proc. 42nd IEEE-CDC.
-
Proc. 42nd IEEE-CDC
-
-
Huang, M.1
Caines, P.2
Malhamé, R.3
-
24
-
-
39549087376
-
Large populations stochastic dynamics games: Closedloop McKean-Vlasov systems and the Nash certainly equivalence principle
-
M. Huang, P. Caines and R. Malhamé, Large populations stochastic dynamics games: Closedloop McKean-Vlasov systems and the Nash certainly equivalence principle, Comm. Inf. Syst., 6(2006), 221-251.
-
(2006)
Comm. Inf. Syst.
, vol.6
, pp. 221-251
-
-
Huang, M.1
Caines, P.2
Malhamé, R.3
-
25
-
-
4444275210
-
Numerical methods for stochastic control problems in continuous time
-
Springer, New York, Second edition
-
H. Kushner and P. Dupuis, Numerical Methods for Stochastic Control Problems in Continuous Time, vol. 24 of Applications of mathematics, Springer, New York, 2001, Second edition.
-
(2001)
Applications of Mathematics
, vol.24
-
-
Kushner, H.1
Dupuis, P.2
-
26
-
-
77951911285
-
Computation of mean field equilibria in economics
-
A. Lachapelle, J. Salomon and G. Turinici, Computation of mean field equilibria in economics, Mathematical Models and Methods in Applied Sciences, 20(2010), 567-588.
-
(2010)
Mathematical Models and Methods in Applied Sciences
, vol.20
, pp. 567-588
-
-
Lachapelle, A.1
Salomon, J.2
Turinici, G.3
-
28
-
-
33751077273
-
Jeux à champ moyen II. Horizon fini et contrôle optimal
-
J.-M. Lasry and P.-L. Lions, Jeux à champ moyen II. Horizon fini et contrôle optimal, C. R. Math. Acad. Sci. Paris, 343(2006), 679-684.
-
(2006)
C. R. Math. Acad. Sci. Paris
, vol.343
, pp. 679-684
-
-
Lasry, J.-M.1
Lions, P.-L.2
-
30
-
-
0004115551
-
-
Second Ed., Springer, Berlin
-
A. Quarteroni, R. Sacco and F. Saleri, Numerical Mathematics (Second Ed.), Springer, Berlin, 2007.
-
(2007)
Numerical Mathematics
-
-
Quarteroni, A.1
Sacco, R.2
Saleri, F.3
-
31
-
-
1542342359
-
Topics in Optimal Transportation
-
American Mathematical Society, Providence, RI
-
C. Villani, Topics in Optimal Transportation, Vol. 58 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI, 2003.
-
(2003)
Graduate Studies in Mathematics
, vol.58
-
-
Villani, C.1
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