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Optimal control of large particle systems with collective dynamics by few agents is a subject of high practical importance (e.g.
The integration of the vlasov equation in configuration space
C. Z. Cheng and G. Knorr · 1976
Earlier work this paper cites.
The vlasov dynamics and its fluctuations in the 1/n limit of interacting classical particles
W. Braun and K. Hepp · 1977
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Vlasov equations
R. L. Dobrushin · 1979
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Towards the ultimate conservative difference scheme
B. Van Leer · 1979
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An introduction to the nonlinear boltzmann-vlasov equation
H. Neunzert · 1984
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Flocks, herds and schools: A distributed behavioral model
C. W. Reynolds · 1987
Earlier work this paper cites.
The semi-lagrangian method for the numerical resolution of the vlasov equation
E. Sonnendrücker, J. Roche, P. Bertrand, and A. Ghizzo · 1999
Earlier work this paper cites.
Collective behavior of interacting self-propelled particles
A. Czirók and T. Vicsek · 2000
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Mathematical models for biological pattern formation
P. K. Maini and H. G. Othmer · 2001
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Instantaneous control for the instationary burgers equation - convergence analysis and numerical implementation
M. Hinze and S. Volkwein · 2002
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Finite volume methods for hyperbolic problems
R. J. LeVeque · 2002
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The mean-field limit of the dynamics of large particle systems
F. Golse · 2003
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Instantaneous close-loop control of the navier-stokes
M. Hinze · 2005
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Numerical Optimization
J. F. Bonnans, J. C. Gilbert, C. Lemarechal, and C. A. Sagastizabal · 2006
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Self-propelled particles with soft-core interactions : Patterns, stability and collapse
M. R. D’Orsogna, Y. Chuang, and A. Bertozzi · 2006
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Self-propelled particles with soft-core interactions: patterns, stability, and collapse
M. R D’Orsogna, Y.-L. Chuang, A. L. Bertozzi, and L. S. Chayes · 2006
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Emergent behavior in flocks
F. Cucker and S. Smale · 2007
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On the mathematics of emergence
F. Cucker and S. Smale · 2007
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N-particles approximation of the vlasov equations with singular potential
M. Hauray and P.-E. Jabin · 2007
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Optimization with PDE Constraints
M. Hinze, R. Pinnau, M. Ulbrich, and S. Ulbrich · 2009
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A semi-lagrangian method for a fokker-planck equation describing fiber dynamics
A. Klar, P. Reuterswärd, and M. Seaïd · 2009
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Particle, kinetic and hydrodynamic models of swarming
J. A. Carrillo, M. Fornasier, G. Toscani, and F. Vecil · 2010
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Self-propelled interacting particle systems with roosting force
J. A. Carrillo, A. Klar, S. Martin, and S. Tiwari · 2010
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Stochastic mean-field limit: non-lipschitz forces and swarming
F. Bolley, J. A. Canizo, and J. A Carrillo · 2011
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Refining self-propelled particle models for collective behaviour
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Instantaneous control for traffic flow
M. Herty, C. Kirchner, and A. Klar · 2007
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Mathematical tools in optimal semiconductor design
M. Hinze and R. Pinnau · 2007
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Numerical approximation of partial differential equations
A. Quarteroni and A. Valli · 2008
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Discrete and continuous models of the dynamics of pelagic fish: application to the capelin
A. B. T. Barbaro, K. Taylor, P. F. Trethewey, L. Youseff, and B. Birnir · 2009
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A globally convergent gummel map for optimal dopant profiling
M. Burger and R. Pinnau · 2009
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Double milling in self-propelled swarms from kinetic theory
J. A. Carrillo, M. R. D’Orsogna, and V. Panferov · 2009
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C. A. Yates, R. E. Baker, R. Erban, and P. K. Maini · 2011
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Modeling self-organized systems interacting with few individuals: from microscopic to macroscopic dynamics
G. Albi and L. Pareschi · 2013
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A new interaction potential for swarming models
J. A. Carrillo, S. Martin, and V. Panferov · 2013
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The derivation of swarming models: Mean-field limit and wasserstein distances
J. A. Carrillo, Y. Choi, and M. Hauray · 2014
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Single to double mill small noise transition via semi-lagrangian finite volume methods
J. A. Carrillo, A. Klar, and A. Roth · 2014
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Mean-field optimal control
M. Fornasier and F. Solombrino · 2014
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The quasi-neutral limit in optimal semiconoductor design
R. Pinnau, C. Totzeck, and O. Tse · 2015
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