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We study the numerical behaviour of a particle method for gradient flows involving linear and nonlinear diffusion.
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Une méthode particulaire déterministe pour des équations diffusives non linéaires
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F. Otto · 2001
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The diffusion velocity method: a deterministic way of moving the nodes for solving diffusion equations
S. Mas-Gallic · 2002
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J. A. Carrillo, R. J. McCann, and C. Villani · 2003
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C. Villani · 2003
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Gamma-convergence of gradient flows with applications to Ginzburg–Landau
E. Sandier and S. Serfaty · 2004
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Gradient Flows in Metric Spaces and in the Space of Probability Measures
L. Ambrosio, N. Gigli, and G. Savaré · 2005
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J. A. Carrillo and J. S. Moll · 2009
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Gamma-convergence of gradient flows on Hilbert and metric spaces and applications
S. Serfaty · 2011
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A finite volume scheme for nonlinear degenerate parabolic equations
M. Bessemoulin-Chatard and F. Filbet · 2012
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The derivation of swarming models: mean-field limit and Wasserstein distances
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Convergence of a variational Lagrangian scheme for a nonlinear drift diffusion equation
H. Osberger and D. Matthes · 2014
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A finite-volume method for nonlinear nonlocal equations with a gradient flow structure
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