Geodesic
A network version of the non-standard trigonometric basis and its advantages with respect to a~similar polynomial basis
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 4, pp. 399-409

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A trigonometry-based functional basis as a network version is proposed. It is aimed at the approximation with high orders of accuracy of smooth and piecewise-smooth functions. A comparative analysis of the features of the basis proposed and a polynomial one is made. The trigonometric version offers considerable advantages over the polynomial bases. 
@article{SJVM_2014_17_4_a7,
     author = {V. V. Smelov},
     title = {A network version of the non-standard trigonometric basis and its advantages with respect to a~similar polynomial basis},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {399--409},
     publisher = {mathdoc},
     volume = {17},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2014_17_4_a7/}
}
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V. V. Smelov. A network version of the non-standard trigonometric basis and its advantages with respect to a~similar polynomial basis. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 4, pp. 399-409. http://geodesic.mathdoc.fr/item/SJVM_2014_17_4_a7/