计算数学教研室主任，博士生导师
联系方式：010-
电子邮箱：gxni@iapcm.ac.cn，nijiusuo09@163.com
流体力学数值方法，多介质流体力学数值方法，偏微分方程，信号与图像处理
1998年9月-2001年7月，北京大学，数学科学学院，偏微分方程，获博士学位
1995年9月-1998年7月，复旦大学，数学研究所，偏微分方程，获硕士学位
2001年7月至今，北京应用物理与计算数学研究所,副研究员/研究员
1990年7月-1995年7月，宜昌地质与矿产研究所
2006年3月至2006年7月，香港科技大学数学系访问
研究方向简介可压缩流体力学的高精度数值方法，包括有限体积、间断有限元方法及动理学数值方法；
可压缩多介质流体力学数值方法，研究多介质界面的捕捉方法以及混合多相流的数值方法；
流体力学方程组光滑解与弱解的适定性、正则性、稳定性与不稳定性理论，解的渐近性分析；
基于小波变换的信号与图像处理理论与数值方法,研究小波框架下的变分模型的理论与高效算法。
1 M.Xiao,J.S.Fan,G.X.Ni,Weak solutions to the Ginzburg–Landau modelin super conductivity with the Coulomb gauge, Mathematcal Method in Applied Science v.40, no.8 p.2872 ,2017.
2 Yaxin Zhen,Min Xiao,Guoxi Ni,Multi-scale kinetic scheme for the collisional Vlasov- Poisson system Computers and Fluids 140 (2016) 289–296.
3. Xianyang Zeng,Min Xiao, Guoxi Ni，An efficient numerical method for reactive flow with general equation of states，International journal of numerical methods for fluids 2016,82, 10, 631–645.
4.Jishan Fana and Guoxi Ni ，Global existence and uniqueness of weak solutions in critical spaces for a mathematical model in superfluidity, Mathematcal Method in Applied Science，2015, 38 1673–1681.
5.J.S. Fan, & G.X.Ni, Uniform existence for a 3D time-dependent Ginzburg-Landau model in superconductivity,Applied mathematics letters. 26(2013),814-819.
6.X.H.Xu, G. X. Ni & S.Jiang,A high-order moving mesh kinetic scheme based on WENO reconstruction for compressible flows on unstructured meshes, J.Sci Comput (2013) 57:278–299.
7.G. X. Ni,S. Jiang and S.H.Wang,Remapping-free ALE method for multi material fuids with general EOS by effcient Riemann solvers,Computers & fluids, 2013 ,71, 19-27.
8.X.H.Xu, G. X. Ni & S.Jiang, An entropy fixed cell-centered Lagrangian scheme, International journal of numerical methods for fluids, 2013; 72:1096–1115.
9.F.Jiang,S.Jiang &G.X.Ni, F.Jiang,S.Jiang &G.X.Ni, Nonlinear instability for non homogeneous incompressible viscous fluids, Science China,Mathematics,2013 56,pp 665-686.
10 Q.C.Ju,S.Jiang,G.X.Ni,Seasonal variability of bifurcation of north equatoral current, J.Hydro dynamics, 2013, 25(4), 550-555
11.G. X. Ni, S. Jiang and X.H.Xu , A moving mesh BGK scheme for multi- material flows,Int. J. Numer. Meth. Fluids. 2012. 69,878-896.
12.G.X. Ni,S.Jiang and Q.C.Ju, L.H.Kong,Nonlinear dynamical analysis of bifurca- tion And confluence for the Pacific western boundary currents, J. Hydro dynamics, 2012,24(3),383-390
13.G. X.Ni, W.J. Sun,A -DGBGK Scheme Based on WENO Limiters for com- pressi ble Multi component Flows Int. J. Numer. Methods Fluids; 2011,66 : 760– 777.
14.Ni Guoxi Jiang Song and Xu Kun, Remapping-Free ALE-type Kinetic method for Flow Computations, J. Comput. Phys.228(2009)3154-3171..
15.Fan jishan,Jiang Song Ni Guoxi,Uniform boundedness of the radially symmetric solutions of the Navier Stokes equations for isentropic compressible fluids,Osaka J.of Math.,46(2009)863-876.
16.Jiang Song, Ni Guoxi An efficient -model BGK scheme for Multi conponent flows on unstructured meshes,Contemporary Mathematics vol.466(2008)53-72.
17.Guoxi Ni,Song Jiang and Kun Xu, Efficient kinetic scheme for steady and unsteady flow flow simulation on unstructured grid J. Comput. Phys. 227 (2008), 3015-3031.
18.Ni Guoxi Jiang Song and Xu Kun, DGBGK scheme based on WENO limiters for viscous and nonviscous flow, J. Comput. Phys. 227 (2008), 5799-5815.
19.Jiang Song and Ni Guoxi, A second order -model BGK scheme for multi material compressible flows. Appl.Numer.Math. 57(2007)597-608.
20. Jishan Fan,Song Jiang Guoxi Ni,On regularity criteria for the n-dimensional Navier Stokes equations in terms of the pressure,J.Differential quations, 244(2008) 2963- 2979.
21. Tiehu Qin,and Guoxi Ni,, Three-dimensional travel- ling waves for nonlinear viscoelastic materials with memory, J. Math. Anal. Appl. 284 (2003), no. 1,76—88..
22. Song Jiang, Guoxi Ni and Wenjun Sun,Vanishing Viscosity Limit to Rarefaction Waves for the Navier-Stokes Equations of One-Dimensional Compressible Heat- Conducting Fluids, SIAM Mathematical Analysis, vol.38,issue 2,368-384,2006..
23. Song Jiang and Guoxi Ni, A -model BGK scheme for compressible Multifluids , Int. J. Numer. Methods Fluids 46 (2004), no. 2, 163-182..
A second order gamma model BGK scheme for multicomponent fluids, The thirteenth.Asian congress of fluid mechanics 2010.12.17--21,Dhaka, Bangla desh
An efficient -model BGK scheme for Multi conponent flows on unstructured meshes .The seventh international conference on industry and applied mathematics, 2011.7.17--.23,,Vancouver,Canada.
A moving mesh BGK scheme for multi- material flows .The teneenth international congress on computational mechanics, 2012.7.7-.-14, São Paulo Brazil
A high-order moving mesh kinetic scheme based on WENO reconstruction for compressible flows on unstructured meshes .Workshop on High Order Nonlinear Numerical Methods for Evolutionary PDEs，2013-3-18 --22 , University of Bordeaux,France.
Remapping-free ALE method for multi material fuids with general EOS by effcient Riemann solvers The sixth internatioal conference on computational methods in applied mathematics，2014.9.29 --10.3, Wolfgang institute,Austria.
Global existence and uniqueness of weak solutions in critical spaces for a mathematical model in superfluidity The International Conference on Multiscale Methods for Kinetic and Hyperbolic Problems, 2015.5.4--8 , Wisconsin uni9versity, Wisconsin- Madison,USA
A high ordert numerical method for reactive flow .Th xisteenth International Conference on Hyperbolic Problems,theory,method and application,2016.8,1--5，Aachen,Germany
Multi-scale kinetic scheme for the collisional Vlasov- Poisson system The seventh international conferrnece on computational physics, 2017.1.16---20,University of Macau, Macau.
An efficient numerical method for reactive flow with general equation of states .International Conference on Scientific Computation and Diff. Equation. 2017.9.10--15,University of Bath,UK.