Results 51 to 60 of about 1,669 (93)

Operator splitting for the Benjamin-Ono equation

open access: yes, 2015
In this paper we analyze operator splitting for the Benjamin-Ono equation, u_t = uu_x + Hu_xx, where H denotes the Hilbert transform. If the initial data are sufficiently regular, we show the convergence of both Godunov and Strang splitting.Comment: 18 ...
Dutta, R.   +3 more
core  

Optimal Order Convergence Implies Numerical Smoothness

open access: yes, 2013
It is natural to expect the following loosely stated approximation principle to hold: a numerical approximation solution should be in some sense as smooth as its target exact solution in order to have optimal convergence.
Chou, So-Hsiang
core  

From traffic and pedestrian follow-the-leader models with reaction time to first order convection-diffusion flow models

open access: yes, 2016
In this work, we derive first order continuum traffic flow models from a microscopic delayed follow-the-leader model. Those are applicable in the context of vehicular traffic flow as well as pedestrian traffic flow.
Costeseque, Guillaume   +3 more
core  

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