Pregled bibliografske jedinice broj: 44782
A fourth/second order accurate collocation method for singularly perturbed two-point boundary value problems using tension splines
A fourth/second order accurate collocation method for singularly perturbed two-point boundary value problems using tension splines // Numerische Mathematik, 88 (2001), 1; 135-158 (međunarodna recenzija, članak, znanstveni)
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Naslov
A fourth/second order accurate collocation method for singularly perturbed two-point boundary value problems using tension splines
Autori
Marušić, Miljenko
Izvornik
Numerische Mathematik (0029-599X) 88
(2001), 1;
135-158
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
collocation; singular BVP; B-spline; Gaussian points
Sažetak
The collocation tension spline is considered as a numerical solution of a singularly perturbed two-point boundary value problem: epsilony " + by' + cy = f. The collocation points are chosen as a generalization of the classical Gaussian points. Unlike the traditional approach, we employ the B-spline representation in the analysis. This leads to global quadratic convergence of the method for small perturbation parameters, and, for large values, the order of convergence is four.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037011
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
- Zentarblat fur Mathematik
