Geodesic
Recursive interpolation by cubic splines with additional nodes
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 2, pp. 179-185

Voir la notice de l'article provenant de la source Math-Net.Ru

A method, designed for systems operating in real time, is proposed for recursive construction of cubic interpolatory splines with additional nodes – the points of discontinuity of the third derivative of the spline. It is proved that the method converges to the function being interpolated, to fourth order of accuracy with respect to the maximum distance between the data points of the function. 
@article{ZVMMF_1990_30_2_a0,
     author = {B. M. Shumilov},
     title = {Recursive interpolation by cubic splines with additional nodes},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {179--185},
     publisher = {mathdoc},
     volume = {30},
     number = {2},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a0/}
}
TY  - JOUR
AU  - B. M. Shumilov
TI  - Recursive interpolation by cubic splines with additional nodes
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1990
SP  - 179
EP  - 185
VL  - 30
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a0/
LA  - ru
ID  - ZVMMF_1990_30_2_a0
ER  - 
%0 Journal Article
%A B. M. Shumilov
%T Recursive interpolation by cubic splines with additional nodes
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1990
%P 179-185
%V 30
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a0/
%G ru
%F ZVMMF_1990_30_2_a0
B. M. Shumilov. Recursive interpolation by cubic splines with additional nodes. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 2, pp. 179-185. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_2_a0/