A Multiresolution Method for Numerical Reduction and Homogenization of Nonlinear ODEs
نویسندگان
چکیده
The multiresolution analysis (MRA) strategy for the reduction of a nonlinear differential equation is a procedure for constructing an equation directly for the coarse scale component of the solution. The MRA homogenization process is a method for building a simpler equation whose solution has the same coarse behavior as the solution to a more complex equation. We present two multiresolution reduction methods for nonlinear differential equations: a numerical procedure and an analytic method. We also discuss one possible appproach to the homogenization method. © 1998 Academic Press
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تاریخ انتشار 1998