On the rate of convergence in periodic homogenization of scalar first-order ordinary differential equations

Details On the rate of convergence in periodic homogenization of scalar first-order ordinary differential equations On the rate of convergence in periodic homogenization of scalar first-order ordinary differential equations

2009-03-08

arxiv.org/abs/0903.1437v1

Mathematics

Analysis of PDEs

Scientific paper

In this paper, we study the rate of convergence in periodic homogenization of scalar ordinary differential equations. We provide a quantitative error estimate between the solutions of a first-order ordinary differential equation with rapidly oscillating coefficients and the limiting homogenized solution. As an application of our result, we obtain an error estimate for the solution of some particular linear transport equations.

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