Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: Fast convergence of the Coiflet-Galerkin method for general elliptic BVPs
Współtwórca:
Korbicz, Józef (1951- ) - red. ; Uciński, Dariusz - red.
Tytuł publikacji grupowej:
Abstract:
We consider a general elliptic Robin boundary value problem. Using orthogonal Coifman wavelets (Coiflets) as basis functions in the Galerkin method, we prove that the rate of convergence of an approximate solution to the exact one is O(2?nN) in the H1 norm, where "n" is the level of approximation and "N" is the Coiflet degree. The Galerkin method needs to evaluate a lot of complicated integrals. ; We present a structured approach for fast and effective evaluation of these integrals via trivariate connection coefficients. Due to the fast convergence rate, very good approximations are found at low levels and with low Coiflet degrees, hence the size of corresponding linear systems is small. Numerical experiments confirm these claims.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Identyfikator zasobu:
DOI:
Strony:
Źródło:
AMCS, volume 23, number 1 (2013) ; click here to follow the link
Jezyk:
Licencja CC BY 4.0:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2013)
Last modified:
14 lip 2025
In our library since:
10 kwi 2024
Number of object content hits:
91
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/88600
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 23, number 1 (2013)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 23, number 2 (2013)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 23, number 3 (2013)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 23, number 4 (2013)
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| Edition name | Date |
|---|---|
| Fast convergence of the Coiflet-Galerkin method for general elliptic BVPs | 14 lip 2025 |
