Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Gerda Jankevičiūtė"'
Publikováno v:
Nonlinear Analysis, Vol 22, Iss 1 (2017)
In this paper, mathematical modelling of high voltage cables for power transmission line design is presented. The Finite Volume Method (FVM) is used to approximate the developed mathematical model (a system of nonlinear multi-physic differential equa
Externí odkaz:
https://doaj.org/article/db9886953e65420b8b6f17cf0bd53994
Publikováno v:
Mathematical Modelling and Analysis, Vol 21, Iss 5 (2016)
A general methodology for the stability analysis of discrete approximations of nonstationary PDEs is applied to solve the Kuramoto-Tsuzuki equation, including also the Schr¨odinger problem. Stability regions are constructed for the explicit, backwar
Externí odkaz:
https://doaj.org/article/988a427b7f6a49d28ceb6257933ea711
Publikováno v:
Mathematical Modelling and Analysis, Vol 20, Iss 6 (2015)
The new virtual modelling tool is constructed, which is used for optimal design of power transmission lines and cables. The construction of such lines should meet the latest power transmission network technical and economical requirements. The solver
Externí odkaz:
https://doaj.org/article/3f9e982304b444f8b09e1ebdd1810b15
Publikováno v:
Lietuvos Matematikos Rinkinys, Vol 54, Iss B (2013)
In this paper we consider the proper orthogonal decomposition (POD) method for one-dimensional Schrödinger equation. We begin of the review of basic ideas of POD. Later this method is applied to study the linear Schrödinger equation. The generation
Externí odkaz:
https://doaj.org/article/9b195260f7c245c39619e3b98f53e80f
Publikováno v:
Lietuvos Matematikos Rinkinys, Vol 53, Iss B (2012)
In this paper proper orthogonal decomposition method for 1D parabolic type equations is described. First basic ideas of method are presented and application scheme for compiutations is derived. Later the sensitivity of proper orthogonal decomposition
Externí odkaz:
https://doaj.org/article/b5e5bb142df84fdc983e06ba4896efdd
Publikováno v:
Mathematical Modelling and Analysis, Vol 15, Iss 1 (2010)
In this paper we develop and validate mathematical models and numerical algorithms for the heat transfer simulation in composite materials. The main features of the problem deal with the dependence of the heat source on the solution, discontinuous di
Externí odkaz:
https://doaj.org/article/7b32d8db10b74a3996c77bc43241a1b9
Publikováno v:
Nonlinear Analysis, Vol 22, Iss 1 (2017)
In this paper, mathematical modelling of high voltage cables for power transmission line design is presented. The Finite Volume Method (FVM) is used to approximate the developed mathematical model (a system of nonlinear multi-physic differential equa
Publikováno v:
Mathematical Modelling and Analysis, Vol 21, Iss 5 (2016)
Mathematical Modelling and Analysis; Vol 21 No 5 (2016); 630-643
Mathematical Modelling and Analysis; Vol 21 No 5 (2016); 630-643
A general methodology for the stability analysis of discrete approximations of nonstationary PDEs is applied to solve the Kuramoto-Tsuzuki equation, including also the Schr¨odinger problem. Stability regions are constructed for the explicit, backwar
Publikováno v:
Mathematical Modelling and Analysis; Vol 20 No 6 (2015); 701-714
Mathematical Modelling and Analysis, Vol 20, Iss 6 (2015)
Mathematical Modelling and Analysis, Vol 20, Iss 6 (2015)
The new virtual modelling tool is constructed, which is used for optimal design of power transmission lines and cables. The construction of such lines should meet the latest power transmission network technical and economical requirements. The solver
Publikováno v:
Numerical Functional Analysis and Optimization. 35:1308-1327
In this article, one-dimensional parabolic and pseudo-parabolic equations with nonlocal boundary conditions are approximated by the implicit Euler finite-difference scheme. For a parabolic problem, the stability analysis is done in the weak H −1 ty