The general method of averaging for the superapproximation of an arbitrary partial derivative of a smooth function in a vertex of a simplicial triangulation of a bounded polytopic domain in for any is described and its complexity is analysed.
@article{702741,
title = {Complexity of the method of averaging},
booktitle = {Programs and Algorithms of Numerical Mathematics},
series = {GDML\_Books},
publisher = {Institute of Mathematics AS CR},
address = {Prague},
year = {2010},
pages = {65-77},
url = {http://dml.mathdoc.fr/item/702741}
}
Dalík, Josef. Complexity of the method of averaging, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2010), pp. 65-77. http://gdmltest.u-ga.fr/item/702741/