Variational data assimilation for discrete Burgers equation

We present an optimal control formulation of the data assimilation problem for the Burgers' equation, with the initial condition as the control. First the convergence of the implicit Lax-Friedrichs numerical discretization scheme is presented. Then we study the dependence of the convergence...

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Bibliographic Details
Main Authors: Amit Apte, Didier Auroux, Mythily Ramaswamy
Format: Article
Language:English
Published: Texas State University 2010-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/19/a2/abstr.html