Numerical Methods for One-Dimensional Aggregation Equations
نویسندگان
چکیده
منابع مشابه
Numerical Methods for One-Dimensional Aggregation Equations
We focus in this work on the numerical discretization of the one dimensional aggregation equation ∂tρ + ∂x(vρ) = 0, v = a(W ′ ∗ ρ), in the attractive case. Finite time blow up of smooth initial data occurs for potential W having a Lipschitz singularity at the origin. A numerical discretization is proposed for which the convergence towards duality solutions of the aggregation equation is proved....
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2015
ISSN: 0036-1429,1095-7170
DOI: 10.1137/140959997