Obiekt
Tytuł: 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) ; kliknij tutaj, żeby przejść
Jezyk:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Repozytorium > Jednostki organizacyjne > Wydział Informatyki, Elektrotechniki i Automatyki
- Repozytorium > Typy utworów > Artykuły
- Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS)
- Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2013)
Data ostatniej modyfikacji:
2024-11-05
Data dodania obiektu:
2024-04-10
Liczba wyświetleń treści obiektu:
44
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/repozytorium/publication/88600
Wyświetl opis w formacie RDF:
Wyświetl opis w formacie OAI-PMH:
-
International Journal of Applied Mathematics and Computer Science (AMCS)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23, number 1 (2013)
- Attainability analysis in the problem of stochastic equilibria synthesis for nonlinear discrete systems
- Fast convergence of the Coiflet-Galerkin method for general elliptic BVPs
- Application of the Drazin inverse to the analysis of descriptor fractional discrete-time linear systems with regular pencils
- A multivariable multiobjective predictive controller
- Linear adaptive structure for control of a nonlinear MIMO dynamic plant
- Stability of softly switched multiregional dynamic output controllers with a static antiwindup filter: A discrete-time case
- A nonlinear dynamic inversion-based neurocontroller for unmanned combat aerial vehicles during aerial refuelling
- Predictive control for trajectory tracking and decentralized navigation of multi-agent formations
- Nonlinear system identification using heterogeneous multiple models
- An efficient algorithm for estimating the parameters of superimposed exponential signals in multiplicative and additive noise
- Mode set focused hybrid estimation
- On parameter estimation in the bass model by nonlinear least squares fitting the adoption curve
- An unscented Kalman filter in designing dynamic GMDH neural networks for robust fault detection
- Actuator fault diagnosis for flat systems: A constraint satisfaction approach
- An autonomous vehicle sequencing problem at intersections: A genetic algorithm approach
- Stability analysis of high-order Hopfield-type neural networks based on a new impulsive differential inequality
- Mathematical modelling of molecule evolution in protocells
- Scheduling problems with a common due window assignment: A survey
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23, number 2 (2013)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23, number 3 (2013)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23, number 4 (2013)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23, number 1 (2013)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 18 (2008)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 16 (2006)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 15 (2005)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 13 (2003)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12 (2002)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 11 (2001)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 10 (2000)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 9 (1999)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 8 (1998)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 7 (1997)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 6 (1996)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 5 (1995)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 4 (1994)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 3 (1993)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 2 (1992)
-
International Journal of Applied Mathematics and Computer Science (AMCS),volume 1 (1991)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
| Nazwa wydania | Data |
|---|---|
| Fast convergence of the Coiflet-Galerkin method for general elliptic BVPs | 2024-11-05 |
