Zobrazeno 1 - 10
of 176
pro vyhledávání: '"Chih-Wen Chang"'
Autor:
Heng-Hsin Tung, Chen-Yuan Kuo, Pei-Lin Lee, Chih-Wen Chang, Kun-Hsien Chou, Ching-Po Lin, Liang-Kung Chen
Publikováno v:
Journal of Medical Internet Research, Vol 26, p e57694 (2024)
BackgroundMultidomain interventions have demonstrable benefits for promoting healthy aging, but self-empowerment strategies to sustain long-term gains remain elusive. ObjectiveThis study evaluated the effects of digital somatosensory dance game part
Externí odkaz:
https://doaj.org/article/ca14b53606694b189e6509558e1081b9
Publikováno v:
Vibration, Vol 7, Iss 1, Pp 98-128 (2024)
In the paper, we first develop a novel automatically energy-preserving scheme (AEPS) for the undamped and unforced single and multi-coupled Duffing equations by recasting them to the Lie-type systems of ordinary differential equations. The AEPS can a
Externí odkaz:
https://doaj.org/article/d5002919d4e842dd86420e5b5c865f9c
Publikováno v:
Mathematics, Vol 12, Iss 16, p 2552 (2024)
This paper presents a novel approach to studying divorce dynamics and elimination strategies using nonlinear differential equations. A mathematical model is formulated to capture the key factors influencing divorce rates. The model undergoes a rigoro
Externí odkaz:
https://doaj.org/article/e1815b2c69d84705a3918df59407f9d6
Autor:
Chein-Shan Liu, Chih-Wen Chang
Publikováno v:
Symmetry, Vol 16, Iss 7, p 907 (2024)
The successive over-relaxation method and its symmetric extension to the symmetric successive over-relaxation method inherit the advantages of direct method and iterative method; they are simple iterative algorithms to solve the linear systems. We de
Externí odkaz:
https://doaj.org/article/de0c50ce397b49ffb54c8066e8d0e424
Publikováno v:
Algorithms, Vol 17, Iss 6, p 266 (2024)
GMRES is one of the most powerful and popular methods to solve linear systems in the Krylov subspace; we examine it from two viewpoints: to maximize the decreasing length of the residual vector, and to maintain the orthogonality of the consecutive re
Externí odkaz:
https://doaj.org/article/650141492670484baa0d04cd88bd578a
Publikováno v:
Mathematics, Vol 12, Iss 12, p 1808 (2024)
The symmetric successive overrelaxation (SSOR) and symmetric accelerated overrelaxation (SAOR) are conventional iterative methods for solving linear equations. In this paper, novel approaches are presented by combining a splitting–linearizing metho
Externí odkaz:
https://doaj.org/article/2d2b6d21ced34d109fbfefc4027ed8cc
Publikováno v:
Mathematics, Vol 12, Iss 11, p 1761 (2024)
We derive a double-optimal iterative algorithm (DOIA) in an m-degree matrix pencil Krylov subspace to solve a rectangular linear matrix equation. Expressing the iterative solution in a matrix pencil and using two optimization techniques, we determine
Externí odkaz:
https://doaj.org/article/984d34ed661c403d818e60ca8a2127de
Publikováno v:
Algorithms, Vol 17, Iss 5, p 211 (2024)
A double optimal solution (DOS) of a least-squares problem Ax=b,A∈Rq×n with q≠n is derived in an m+1-dimensional varying affine Krylov subspace (VAKS); two minimization techniques exactly determine the m+1 expansion coefficients of the solution
Externí odkaz:
https://doaj.org/article/493ccc85267b4ecea587774988407940
Publikováno v:
Mathematics, Vol 12, Iss 8, p 1265 (2024)
For the generalized Sturm–Liouville problem (GSLP), a new formulation is undertaken to reduce the number of unknowns from two to one in the target equation for the determination of eigenvalue. The eigenparameter-dependent shape functions are derive
Externí odkaz:
https://doaj.org/article/8e0f97ae31224be086662ff8e1242631
Autor:
Chein-Shan Liu, Chih-Wen Chang
Publikováno v:
Mathematics, Vol 12, Iss 7, p 1032 (2024)
In the paper, two nonlinear variants of the Newton method are developed for solving nonlinear equations. The derivative-free nonlinear fractional type of the one-step iterative scheme of a fourth-order convergence contains three parameters, whose opt
Externí odkaz:
https://doaj.org/article/4678cf04d5cf43049df49d4f730598a7