Naslov
Quasi-collocation method based on CCC-Schoenberg operators

Autori
Bosner, Tina

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
Tenth Conference on Applied Mathematics and Scientific Computing (ApplMath20)

Mjesto i datum
Brijuni, Hrvatska, 14.09.2020. - 18.09.2020

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
CCC-splines ; CCC-Schoenberg operators ; boundary value problems ; quasi-collocation

Sažetak
We propose a quasi-collocation method for solving second order boundary value problems L2y = f, in which the differential operator L2 can be represented in the product formulation, aiming mostly on singular and singularly perturbed boundary value problems. If we seek an approximating Canonical Complete Chebyshev spline s by some collocation method, we then actually demand that L2s interpolate the function f. On the other hand, in our method we require that L2s is equal to the approximation of f by the Schoenberg operator, associated with the second reduced system. By doing that, we can avoid solving any linear system. We also show the quadratic convergence of such an approximation, and suggest two algorithms for its calculation.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA