Weibing Deng (Professor)
University Address:
Dept. of Mathematics Nanjing University 22 Hankou Road Nanjing, 210093, P.R. China Email:wbdeng@nju.edu.cn 86-25-83592352(O)
Contact:
025-83592352
Email:
wbdeng@nju.edu.cn
Education:
B.Sc., Dept.of Math. Nanjing University Jun.,1992
M.Sc., Dept.of Math. Nanjing University Jun.,1995
Ph.D., Dept.of Math. Nanjing University Jun.,2002
Experience:
Teaching Assistant, Dept.of Math.,Nanjing Univ. 10/95-10/97
Lecturer, Dept.of Math.,Nanjing Univ. 10/97-11/03
Associate Professor, Dept.of Math.,Nanjing Univ. 11/03-12/08
Postdoc, Research LSEC, Inst.of Comput. Math., Chinese Academy of Sciences. 12/02-12/04
Professor, Dept. of Math.,Nanjing Univ. 12/08-present
Research Interests:
Numerical Analysis and Scientific Computation: Multiscale finite element methods, Upscaling methods for porous medium flow; Numerical homogenization methods.
List of Publications:
1. “Multiscale discontinuous Petrov--Galerkin method for the multiscale elliptic problems”
Song, Fei|Deng, Weibing
(2018)
Numerical Methods for Partial Differential Equations 34(2018)
:
184--210.
pdf
2. “A combined finite element method for elliptic problems posted in domains with rough boundaries”
Xu, Shipeng|Deng, Weibing|Wu, Haijun
(2018)
Journal of Computational & Applied Mathematics 336(2018)
:
235--248.
pdf
3. “A combined finite element and oversampling multiscale
{P}etrov-{G}alerkin method for the multiscale elliptic
problems with singularities”
Song, Fei|Deng, Weibing|Wu, Haijun
(2016)
J. Comput. Phys. 305(2016)
:
722--743.
pdf
4. “A combined finite element and multiscale finite element method
for the multiscale elliptic problems”
Deng, Weibing|Wu, Haijun
(2014)
Multiscale Model. Simul. 12(2014)
:
1424--1457.
pdf
5. “Convergence analysis of the multiscale method for a class of
convection-diffusion equations with highly oscillating
coefficients”
Deng, Weibing|Yun, Xulai|Xie, Chunhong
(2009)
Appl. Numer. Math. 59(2009)
:
1549--1567.
6. “Upscaling methods for a class of convection-diffusion
equations with highly oscillating coefficients”
Deng, Weibing|Gu, Ji|Huang, Jianmin
(2008)
J. Comput. Phys. 227(2008)
:
7621--7642.
7. “Upscaling of a class of nonlinear parabolic equations for the
flow transport in heterogeneous porous media”
Chen, Zhiming|Deng, Weibing|Ye, Huang
(2005)
Commun. Math. Sci. 3(2005)
:
493--515.
8. “A new upscaling method for the solute transport equations”
Chen, Zhiming|Deng, Weibing|Ye, Huang
(2005)
Discrete Contin. Dyn. Syst. 13(2005)
:
941--960.
9. “Global existence and finite time blow up for a degenerate
reaction-diffusion system”
Deng, Weibing
(2005)
Nonlinear Anal. 60(2005)
:
977--991.
10. “Uniform blow-up profile for a degenerate parabolic system with
nonlocal source”
Duan, Zhiwen|Deng, Weibing|Xie, Chunhong
(2004)
Comput. Math. Appl. 47(2004)
:
977--995.
11. “A nonlinear degenerate parabolic system with non-local source
and crosswise-diffusion”
Deng, Weibing|Li, Yuxiang|Xie, Chunhong
(2003)
Z. Angew. Math. Phys. 54(2003)
:
503--516.
12. “Blowup properties for a class of nonlinear degenerate
diffusion equation with nonlocal source”
Deng, Wei Bing|Liu, Qi Lin|Xie, Chun Hong
(2003)
Appl. Math. Mech. 24(2003)
:
1204--1210.
13. “Existence, uniqueness and blow-up rate of solutions for
degenerate parabolic equations”
Liu, Qi Lin|Deng, Wei Bing|Xie, Chun Hong
(2003)
Acta Math. Sinica (Chin. Ser.) 46(2003)
:
775--784.
14. “Global existence and nonexistence for a class of degenerate
parabolic systems”
Deng, Weibing|Yuxiang, Li|Chunhong, Xie
(2003)
Nonlinear Anal. 55(2003)
:
233--244.
15. “Semilinear reaction-diffusion systems with nonlocal sources”
Deng, Weibing|Li, Yuxiang|Xie, Chunhong
(2003)
Math. Comput. Modelling 37(2003)
:
937--943.
16. “Existence and nonexistence of global solutions of some
nonlocal degenerate parabolic equations”
Deng, Weibing|Li, Yuxiang|Xie, Chunhong
(2003)
Appl. Math. Lett. 16(2003)
:
803--808.
17. “Blow-up and global existence for a nonlocal degenerate
parabolic system”
Deng, Weibing|Li, Yuxiang|Xie, Chunhong
(2003)
J. Math. Anal. Appl. 277(2003)
:
199--217.
18. “Existence and nonexistence of global solutions of some
non-local degenerate parabolic systems”
Deng, Weibing|Li, Yuxiang|Xie, Chunhong
(2003)
Proc. Amer. Math. Soc. 131(2003)
:
1573--1582 (electronic).
19. “Global existence and nonexistence from degenerate parabolic
systems”
Li, Yuxiang|Deng, Weibing|Xie, Chunhong
(2002)
Proc. Amer. Math. Soc. 130(2002)
:
3661--3670 (electronic).
20. “Global existence for a class of degenerate parabolic equations
with non-local source”
Deng, Weibing
(2002)
Nanjing Daxue Xuebao Shuxue Bannian Kan 19(2002)
:
31--36.
21. “A nonlinear degenerate parabolic equation with non-local
source”
Deng, Weibing|Xie, Chunhong
(2002)
Appl. Math. J. Chinese Univ. Ser. B 17(2002)
:
171--176.
22. “The blow-up rate for a degenerate parabolic equation with a
non-local source”
Deng, Weibing|Duan, Zhiwen|Xie, Chunhong
(2001)
J. Math. Anal. Appl. 264(2001)
:
577--597.
23. “Combined iterative methods for numerical solution of
reaction-diffusion equations with nonlinear boundary
conditions”
Deng, Wei Bing
(2001)
Numer. Math. J. Chinese Univ. 23(2001)
:
111--120.
24. “Numerical methods for reaction-diffusion equations with
nonlinear boundary conditions”
Deng, Wei Bing|Chen, Yu Juan
(2000)
Numer. Math. J. Chinese Univ. 22(2000)
:
353--361.
25. “A limited memory quasi-{N}ewton method for large scale
problem”
Deng, Wei-bing
(1996)
Numer. Math. J. Chinese Univ. (English Ser.) 5(1996)
:
71--79.