Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Chun-Gang ZHU"'
Autor:
Yan Wu, Chun-Gang Zhu
Publikováno v:
AIMS Mathematics, Vol 6, Iss 2, Pp 1677-1694 (2021)
As the solutions of partial differential equations (PDEs), PDE surfaces provide an effective way for physical-based surface design in surface modeling. The bicubic B-spline surface is a useful tool for surface modeling in computer aided geometric des
Externí odkaz:
https://doaj.org/article/574ff444eade434b8cfd00bf8af012e3
Autor:
Cai-Yun Li, Chun-Gang Zhu
Publikováno v:
AIMS Mathematics, Vol 5, Iss 6, Pp 6341-6354 (2020)
A spacelike constant angle surface in $E_1^3$ (Minkowski 3-space) is defined by its unit normal vector field forms a constant angle with some fixed vector direction. In this paper, we use the Frenet frame to express the surface and construct a family
Externí odkaz:
https://doaj.org/article/e3ab808bb50b4ff6b652a7d529d10703
Autor:
Lan-Yin Sun, Chun-Gang Zhu
Publikováno v:
Advances in Mechanical Engineering, Vol 12 (2020)
Nonlinear partial differential equations are widely studied in Applied Mathematics and Physics. The generalized Burgers-Huxley equations play important roles in different nonlinear physics mechanisms. In this paper, we develop a kind of cubic B-splin
Externí odkaz:
https://doaj.org/article/e8cf2052f8ee447db156fdcee7ecbdff
Autor:
Lan-Yin Sun, Chun-Gang Zhu
Publikováno v:
Advances in Mechanical Engineering, Vol 10 (2018)
Ferguson’s curves are widely used in airfoil design. We present a kind of Ferguson’s curves with a shape parameter by integrating the classical Ferguson’s curves with the q -derivatives, called q -Ferguson curves. This kind of curves not only p
Externí odkaz:
https://doaj.org/article/928885d8348b4069ab9640a9c9ae5b1d
Publikováno v:
Journal of Advanced Mechanical Design, Systems, and Manufacturing, Vol 11, Iss 4, Pp JAMDSM0044-JAMDSM0044 (2017)
Asymptote is widely used in astronomy, mechanics, architecture and relevant subjects. In this paper, by analyzing the Frenet frame and the Darboux frame of a curve on the surface, the necessary and sufficient conditions for a quadrilateral boundary b
Externí odkaz:
https://doaj.org/article/78222b3b6f2141ef8474f6d88fb9e8e3
Publikováno v:
Advances in Mechanical Engineering, Vol 9 (2017)
The non-uniform rational B-spline is a mathematical model commonly used in computer-aided design and manufacturing. For a non-uniform rational B-spline surface, when a single weight approaches infinity, the surface tends to the corresponding control
Externí odkaz:
https://doaj.org/article/fc7a79b537a548b4a334b22b19978e62
Autor:
Lan-Yin Sun, Chun-Gang Zhu
Publikováno v:
Advances in Mechanical Engineering, Vol 8 (2016)
Toric Bézier patches are a multi-sided generalization of classical rational Bézier patches which are widely used in free-form surface modeling. In this article, we study the problem of finding the patch with minimal area among all possible toric B
Externí odkaz:
https://doaj.org/article/c7e8bafcb4194b39a4b423cbf67691d5
Publikováno v:
Journal of Advanced Mechanical Design, Systems, and Manufacturing, Vol 9, Iss 4, Pp JAMDSM0050-JAMDSM0050 (2015)
This paper studies the problem to construct a spacelike developable surface possessing a given non-null parametric curve as the line of curvature in Minkowski 3-space. By using Frenet frame to express the surface, we derive the necessary and sufficie
Externí odkaz:
https://doaj.org/article/77e7a04572a64d078c24ec1ade03710b
Publikováno v:
Journal of Computational and Applied Mathematics. 432:115303
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::63e3fb535f34ff075be1ac1ba347b0f8
https://doi.org/10.1016/j.cam.2023.115303
https://doi.org/10.1016/j.cam.2023.115303
Publikováno v:
Journal of Computational and Applied Mathematics. 425:115039
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::94888a4ef3fc6b29a60406e71ae2ce4f
https://doi.org/10.1016/j.cam.2022.115039
https://doi.org/10.1016/j.cam.2022.115039