Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Ren-Chuen Chen"'
Publikováno v:
Axioms, Vol 13, Iss 10, p 677 (2024)
In this paper, by using q-integers and higher-order generalized Fibonacci numbers, we define the higher-order generalized Fibonacci quaternions with q-integer components. We give some special cases of these newly established quaternions. This article
Externí odkaz:
https://doaj.org/article/a4c964c66c5941f4b5e4f4bf6c6cbc71
Publikováno v:
Journal of Applied Mathematics, Vol 2013 (2013)
We will combine linear successive overrelaxation method with nonlinear monotone iterative scheme to obtain a new iterative method for solving nonlinear equations. The basic idea of this method joining traditional monotone iterative method (known as t
Externí odkaz:
https://doaj.org/article/1d63f205ac284bfc975d34aeb9e68f21
Autor:
REN-CHUEN CHEN, 陳仁純
91
A self-adjoint formulation of the energy transport model of semiconductor devices is proposed. This new formulation leads to symmetric and monotonic properties of the resulting system of nonlinear algebraic equations from an adaptive finite e
A self-adjoint formulation of the energy transport model of semiconductor devices is proposed. This new formulation leads to symmetric and monotonic properties of the resulting system of nonlinear algebraic equations from an adaptive finite e
Externí odkaz:
http://ndltd.ncl.edu.tw/handle/70095873847531085317
Autor:
Ren-Chuen Chen, 陳仁純
81
An object-oriented code in C++, dubbed by AdaptC++, for the solution analysis on a class of general indefinite elliptic boundary value problems is developed in connection with finite element and finite volumn element methods. Basic component
An object-oriented code in C++, dubbed by AdaptC++, for the solution analysis on a class of general indefinite elliptic boundary value problems is developed in connection with finite element and finite volumn element methods. Basic component
Externí odkaz:
http://ndltd.ncl.edu.tw/handle/72267706062046245392
Publikováno v:
Computer Physics Communications. 229:99-105
The Poisson-Fermi model is an extension of the classical Poisson-Boltzmann model to include the steric and correlation effects of ions and water treated as nonuniform spheres in aqueous solutions. Poisson-Boltzmann electrostatic calculations are esse
Publikováno v:
Computer Physics Communications. 207:287-297
A posteriori error estimation and control methods are proposed for a quantum corrected energy balance (QCEB) model that describes electron and hole flows in semiconductor nanodevices under the influence of electrical, diffusive, thermal, and quantum
Autor:
Ren-Chuen Chen, Chun-Hsien Li
Publikováno v:
East Asian Journal on Applied Mathematics. 5:238-255
Synchronisation is one of the most interesting collective motions observed in large-scale complex networks of interacting dynamical systems. We consider global synchronisation for networks of nonlinearly coupled identical cells with time delays, usin
Autor:
Ren-Chuen Chen, Jinn-Liang Liu
Publikováno v:
Journal of Computational Physics. 227:6226-6240
A non-stationary monotone iterative method is proposed and analyzed for the quantum-corrected energy transport model in nanoscale semiconductor device simulation. For the density-gradient equations, it is analytically and numerically shown that the c
Autor:
Jinn-Liang Liu, Ren-Chuen Chen
Publikováno v:
Journal of Computational Physics. 204:131-156
An energy transport model coupled with the density gradient method as quantum mechanical corrections is proposed and numerically investigated. This new model is comprehensive in both physical and mathematical aspects. It is capable of describing hot