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Analysis, Modeling and Simulation of Multiscale Problems
Many partial differential equations with rapid spatial or temporal scales have effective descriptions which can be derived by homogenisation or averaging. In this article we deal with examples, where quantitative estimates of the error is possible for higher order homogenisation and averaging. In particular, we provide theorems, which allow homogenisation and averaging beyond all orders by giving exponential estimates of appropriately averaged and homogenised descriptions. Methods includedoi:10.1007/3-540-35657-6_1 fatcat:p22p74kvungwtotfrtmijrtx6m