- Tytuł:
- Generalized method of Lie-algebraic discrete approximations for solving Cauchy problems with evolution equation
- Autorzy:
- Kindybaliuk, A.
- Powiązania:
- https://bibliotekanauki.pl/articles/122439.pdf
- Data publikacji:
- 2014
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
generalized method of Lie-algebraic discrete approximations
dynamical systems
evolution equation
finite dimensional quasi representation
approximations
Lagrange’s polynomial
factorial convergence
układy dynamiczne
aproksymacje
wielomian Lagrange'a - Opis:
- We consider solving the Cauchy problem with an abstract linear evolution equation by means of the Generalized Method of Lie-algebraic discrete approximations. Discretization of the equation is performed by all variables in equation and leads to a factorial rate of convergence if Lagrange interpolation is used for building quasi representation of differential operator. The rank of a finite dimensional operator and approximation properties have been determined. Error estimations and the factorial rate of convergence have been proved.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 2; 51-62
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł