Local exponential splines with arbitrary knots
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 1, pp. 258-263
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We construct local $\mathcal L$-splines that have an arbitrary arrangement of knots and preserve the kernel of a linear differential operator $\mathcal L$ of order $r$ with constant coefficients and real pairwise distinct roots of the characteristic polynomial.
Keywords:
local $L$-splines, differential operator, arbitrary knots.
@article{TIMM_2014_20_1_a24,
author = {E. V. Strelkova and V. T. Shevaldin},
title = {Local exponential splines with arbitrary knots},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {258--263},
publisher = {mathdoc},
volume = {20},
number = {1},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2014_20_1_a24/}
}
E. V. Strelkova; V. T. Shevaldin. Local exponential splines with arbitrary knots. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 1, pp. 258-263. http://geodesic.mathdoc.fr/item/TIMM_2014_20_1_a24/