Chinese Quarterly Journal of Mathematics ›› 2015, Vol. 30 ›› Issue (1): 1-11.doi: 10.13371/j.cnki.chin.q.j.m.2015.01.001
Next Articles
Received:
Online:
Published:
About author:
Supported by:
Abstract: Differential geometry play a fundamental role in discussing partial differential equations(PDEs) in mathematical physics. Recently discrete differential geometry is an active mathematical terrain, which aims at the development and application of discrete equivalents of the geometric notions and methods of differential geometry. In this paper, a discrete theory of exterior differential calculus and the analogue of the Poincar′e lemma for differential-difference complex are proposed. They provide an intrinsic idea for developing the theory to discuss the integrability of difference equations.
Key words: noncommutative differential calculus, differential-difference complex, exact
CLC Number:
O186.1
BAI Yong-qiang, YAN Guo-dong. Differential-difference Complex and the Poincar\acute{e} Lemma[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(1): 1-11.
/ Recommend
Add to citation manager EndNote|Ris|BibTeX
URL: https://sxjk.magtechjournal.com/EN/10.13371/j.cnki.chin.q.j.m.2015.01.001
https://sxjk.magtechjournal.com/EN/Y2015/V30/I1/1
Minimum Dominating Tree Problem for Graphs