SPLINE-WAVELET COARSENING OF COURANT-TYPE APPROXIMATIONS

摘要

Spline-wavelet coarsening of Courant-type approximations (not necessarily piecewise-linear) is considered, and the wavelet decomposition of the corresponding embedded spaces is constructed. The coarsening suggested possesses the property of structure invariance and can be used for obtaining wavelet packages. The results presented are illustrated on model examples. Bibliography: 6 titles.