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(ABSTRACT) We propose a new discontinuous finite element method for higher-order initial value problems where the finite element solution exhibits an optimal convergence rate in the L 2 norm. We further show that the q-degree discontinuous solution of a differential equation of order m and its first m − 1 derivatives are strongly O(∆t 2q+2−m)… (More)

- Xiao-qin Huang, Juan Wang, +9 authors David Wan-Cheng Li
- Investigative ophthalmology & visual science
- 2005

PURPOSE
Telomerase is a specialized polymerase that catalyzes synthesis of telomeres in most eukaryotes. When introduced into somatic cells, it extends the proliferative lifespan and prevents replicative senescence. Whether it has similar functions in lens epithelial cells, especially in human lens epithelial cells (HLECs) remains to be determined. In this… (More)

Considered herein are certain Boussinesq systems with the presence of large surface tension. The existence and stability of solitary waves are established by using techniques introduced earlier by Buffoni [7] and Lions [9, 10].

In this manuscript, the existence of traveling-wave solutions to Boussinesq systems ηt + ux + (ηu)x + auxxx − bηxxt = 0, ut + ηx + uux + cηxxx − duxxt = 0, is established. We prove that all the systems with a < 0, c < 0 and b = d exhibit traveling-wave solutions with small propagation speeds. The result complements our earlier work [6] on a restricted… (More)

- Shu-Ming Sun, Ning Zhong, Martin Ziegler
- CiE
- 2015

- Shengfu Deng, Shu-Ming Sun
- SIAM J. Math. Analysis
- 2010

In this paper we consider the initial boundary value problem of the Korteweg-de Vries equation posed on a finite interval ut + ux + uxxx + uux = 0, u(x, 0) = φ(x), 0 < x < L, t > 0 (0.1) subject to the nonhomogeneous boundary conditions, B1u = h1(t), B2u = h2(t), B3u = h3(t) t > 0 (0.2)

- Shu-Ming Sun, Ning Zhong
- Theor. Comput. Sci.
- 2015

- Shu-Ming Sun, Bao-qing Shan, Wan-Jiang Peng
- Huan jing ke xue= Huanjing kexue
- 2009

Lab-scale subsurface flow slag-wetlands were constructed to study the removal efficiency and transformation processes of low-concentration inorganic N during the start-up period. As for ammonium-dominated wastewater, the removal rates of total nitrogen (TN), ammonium nitrogen (NH4(+)-N), nitrate nitrogen (NO3(-)-N) and nitrite nitrogen (NO2(-)-N) were 0.12… (More)

- Shu-Ming Sun, Ning Zhong
- TOCT
- 2014

This article studies the effective convergence of numerical solutions of initial value problems (IVPs) for ordinary differential equations (ODEs). A convergent sequence {<i>Y</i><sub>m</sub>} of numerical solutions is said to be effectively convergent to the exact solution if there is an algorithm that computes an <i>N</i> ∈ ℕ, given an arbitrary… (More)