✦ LIBER ✦

Convergence to Diffusion Waves for Nonlinear Evolution Equations with Ellipticity and Damping, and with Different End States

✍ Scribed by Chang Jiang Zhu; Zhi Yong Zhang; Hui Yin

Publisher: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 2006
Tongue: English
Weight: 232 KB
Volume: 22
Category: Article
ISSN: 1439-7617
DOI: 10.1007/s10114-005-0728-9

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Optimal rates of decay to linear diffusi

Optimal rates of decay to linear diffusion waves for nonlinear evolution equations with ellipticity and dissipation

✍ Renjun Duan; Saipan Lin; Changjiang Zhu 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 178 KB

In this paper, we are concerned with the large time decay estimates of solutions to the Cauchy problem of nonlinear evolution equations with ellipticity and damping. Different end states of initial data are considered. The optimal rate of decay to the linear diffusion waves is obtained. The optimal

Attaining exponential convergence for th

Attaining exponential convergence for the flux error with second- and fourth-order accurate finite-difference equations. I. Presentation of the basic concept and application to a pure diffusion system

✍ Manfred Rudolph 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 213 KB

## Abstract It is a well‐known phenomenon called superconvergence in the mathematical literature that the error level of an integral quantity can be much smaller than the magnitude of the local errors involved in the computation of this quantity. When discretizing an integrated form of Fick's secon