A MULTIRESOLUTION STRATEGY FOR NUMERICAL HOMOGENIZATION

Homogenization may be defined as an analysis in which we construct equ ations describing coarse-scale behavior of the solution while ignoring fine-scale detail. This work concerns a multiresolution strategy for homogenization of differential equations. As the first step towards a more general treatment of nonlinear ODEs and PDEs, we consider the hom ogenization via multiresolution analysis (MRA) of systems of linear OD Es with variable coefficients and forcing terms. We develop an efficie nt numerical approach which generates the coefficients of the homogeni zed equation. As one of the examples we treat wave propagation in a st ratified medium. (C) 1995 Academic Press, Inc.