Mailing Address: School of Mathematics, Jilin University, Changchun 130012, China

E-mail: [email protected]

Education:                                                                                  

B.S.	Computational Mathematics, Jilin University	July 1999
Ph.D.	Computational Mathematics, Jilin University	June 2004

Work Experience:

Dean	School of Mathematics,  Jilin University	(December 2020-present)
Director	Tianyuan Mathematical Center in Northeast China	(December 2018-present)
Director	National Center for Applied Mathematics in Jilin	(February 2020-present)
Associate Dean	School of Mathematics,  Jilin University	(December 2012-December 2020)
Professor	School of Mathematics, Jilin University	(October 2008-present)
Visiting Scholar	Beijing computational science research center	(April 2015- May 2015)
Visiting Scholar	Department of Mathematics,  National University of Singapore	(January 2015- February 2015)
Visiting Scholar	Department of Mathematics, HongKong Baptist University	(August 2013- September 2013)
Visiting Scholar	Department of Mathematics, Michigan State University	(July 2009- September 2009)
Visiting Scholar	Mathematics & Statistics Auburn University	(March 2009-July 2009)
Visiting Scholar of K.C. Wong Foundation	Department of Mathematics, HongKong Baptist University	(September 2008-March 2009)
Associate Professor	Department of Mathematics, Jilin University	(October 2006- September 2008)
Visiting Scholar	Department of Mathematics, the Chinese University of HongKong	(September 2005-October 2005)
Post Doctoral Research Fellow	Department of Mathematics, Dalian University of  Technology	(November 2004-March 2008)
Visiting Scholar	Department of Mathematics, the Chinese University of HongKong	(December 2004-Febuary 2005)
Assistant Professor	Department of Mathematics, Jilin University	(June 2001- September 2006)

Research Interest:

Numerical Analysis of Partial Differential Equations

Numerical Analysis for Integral Equations

Finite Element Methods

Multi-scale Analysis and its Applications

Research Grants:

The Foundation of National Science Foundation of China (No. 12026101), PI

The Foundation of National Science Foundation of China (No. 11926104), PI

The Foundation of National Science Foundation of China (No. 11971198), PI

The Foundation of National Science Foundation of China (No. 11826101), PI

The Foundation of National Science Foundation of China (No. 11726102), PI

The Foundation of National Science Foundation of China (No. 91630201), PI

The Foundation of National Science Foundation of China (No. U1530116), PI

The Foundation of National Science Foundation of China (No. 11271157), PI

The Youth Foundation of National Science Foundation of China (No. 10801062), PI

The National Natural Science Foundation of China (No. 10626026), PI

The China Postdoctoral Science Foundation, PI

Books:

[1] (with Z. Q. Yan and J. X. Yin) The Methods and Tricks in Mathematical Analysis，Higher Education Press，Beijing, 2009.

[2] (with Z. Q. Yan and J. X. Yin) Mathematical Analysis，Higher Education Press，Beijing, 2005

Awards:

China Young Female Scientist Award	2021
Millions of Talent Projects in China	2020
China Youth Science and Technology Award	2020
Computational Mathematics Society Youth Innovation Award	2019
The Program for Cheung Kong Scholars(Q2016067) Ministry of Education of China	2017
The Program for New Century Excellent Talents in University of Ministry of Education of China	2013

Service for journals:

Associate Editor	Discrete and Continuous Dynamical Systems Series B (DCDS-B)	(2020.1.1- )
Associate Editor	Communications in Mathematical Research	(2020.1.1-  )
Associate Editor	Journal of Nonlinear Mathematical Physics	(2021.1.1-  )

Publications (Journal Papers): 

[1] T. He*, R. Zhang, and Y. Zhou, Boundary-type quadrature and boundary element method, J. Comput. Appl. Math.，155(1)(2003)，pp. 19-41.

[2] R. Zhang, K. Zhang*, and Y. Zhou,  Numerical study of time-splitting, space-time adaptive wavelet scheme for Schrodinger equations, J. Comput. Appl. Math.，195(1-2)(2006)，pp. 263-273.

[3] Y. K. Zou, Q. W. Hu, and R. Zhang*, On numerical studies of multi -point boundary value problem and its fold bifurcation， Appl. Math. Comput.，185 (2007), pp. 527– 537.

[4] K. Zhang, R. Zhang*, Y. Yin, and S. Yu, Domain decomposition methods for linear and semilinear elliptic stochastic partial differential equations, Appl. Math. Comput., 195 (2008), pp. 630-640.

[5] K. Zhang, Jeff C.-F. Wong*, and R. Zhang, Second-order implicit-explicit scheme for the Gray-Scott model, J. Comput. Appl. Math.，213(2) (2008), pp. 559 -581.

[6] Y. Cao, R. Zhang, and K. Zhang*, Finite element method and discontinuous Galerkin method for stochastic scattering problem of Helmholtz type in R^3, Potential Analysis, 28(4) (2008), pp. 301--319.

[7] Y.Cao, R.Zhang, and K.Zhang, Finite element and discontinuous Galerkin method for stochastic Helmholtz equation in two- and three- dimensions, J. Comp. Math., 26 (5) (2008), pp. 702-715. 

[8] Y. Zou, L. J. Wang and R. Zhang*，Cubically convergent methods for selecting the regularization parameters in linear inverse problems, J Math. Anal. Appl., 356 (2009)，pp. 355–362.

[9] Y. Yang, R. Zhang, C. Jin, and J. Yin*, Existence of Time Periodic Solutions for the Nicholson's Blowflies Model with Newtonian Diffusion, Math. Methods Appl. Sci., 33 (2010)，pp. 922-934.

[10] H. Brunner*, H. Xie, and R. Zhang，Analysis of collocation solutions for a class of functional equations with vanishing delays, IMA J. Numeri. Anal.，31 (2)(2011)，pp. 698-718.

[11] K. Yang and R. Zhang*, Analysis of continuous collocation solutions for a kind of Volterra functional integral equations with proportional delay, J. Comput. Appl. Math., 236（2011）, pp. 743-752.

[12] H. Xie, R. Zhang, and H.Brunner, Collocation methods for general Volterra functional integral equations with vanishing delays, SIAM J. Sci. Comput., 33(6)(2011), pp. 3303–3332.

[13] J. Wang* and R. Zhang, Maximum Principles for P1-Conforming Finite Element Approximations of Quasi-Linear Second Order Elliptic Equations, SIAM J. Numer. Anal., 50(2)(2012), pp. 626-642.

[14] Q. Guan, R. Zhang* , and Y. Zou, Analysis of collocation solutions for nonstandard Volterra integral equations, IMA J. Numer. Anal., 32(4) (2012), pp. 1755-1785.

[15] R. Zhang, B. Zhu*, and H. Xie, Spectral methods for weakly singular Volterra integral equations with pantograph delays, Front. Math. China, 8(2)(2013), pp. 281–299.

[16] R. Zhang*, H. Song, and N. Luan, A weak Galerkin finite element method for the valuation of American options, Front. Math. China, 9(2)(2014), pp. 455–476.

[17] Y. Z. Cao and R. Zhang*, A stochastic collocation method for stochastic Volterra equations of the second kind, J. Integral Equations Appl., 27(1)(2015), pp. 1–25.

[18] R. Zhang* and Q. Zhai, A Weak Galerkin Finite Element Scheme for the Biharmonic Equations by Using Polynomials of Reduced Order, J. Sci. Comput., 64(2)(2015), pp. 559-585.

[19] Q. Zhang, R. Zhang*, and H. Song, A finite volume method for pricing the American lookback option，Acta Phys. Sinica, 64(7) 2015，070202.

[20] H. Song, R. Zhang*, Projection and contraction method for the valuation of American options, East Asian J. Appl. Math.,5（1）(2015), pp. 48-60.

[21] H. Song, Q. Zhang, and R. Zhang*, A Fast numerical method for the valuation of  American Lookback Put Options, Commun. Nonlinear Sci Numer Simulat., 27(1-3)(2015), pp. 302–313.

[22] R. Zhang*, Q. Zhang, and H. Song, An efficient finite element method for pricing American multi-asset put options, Commun. Nonlinear Sci. Numer. Simul., 29(1–3), pp. 25-36.

[23] Q. Zhai, R. Zhang*, and X. Wang, A hybridized weak Galerkin finite element scheme for the Stokes equations, Sci. China Math., 58(11)(2015), pp. 2455–2472.

[24] Q. Zhai, R. Zhang*, and L. Mu, A new weak Galerkin finite element scheme for the Brinkman equations, Commun. Comput. Phys., 19(5) (2016), pp. 1409-1434.

[25] R. Zhang, H. Liang, and H. Brunner*, Analysis of collocation methods for generalized auto-convolution Volterra integral equations, SIAM J. Numer. Anal., 54(2)(2016), pp. 899-920.

[26] C. Wang, J. Wang*, R. Wang, and R. Zhang, A locking-free weak Galerkin finite element method for elasticity problems in the primal formulation，J. Comput. Appl. Math., 307(2016), pp. 346–366.

[27] R. Wang, X. Wang, Q. Zhai, and R. Zhang*, A Weak Galerkin Finite Element Scheme for solving the stationary Stokes Equations, J. Comput. Appl. Math., 302 (2016), pp. 171–185.

[28] X. Wang, Q. Zhai, and R. Zhang*, The weak Galerkin method for solving the incompressible Brinkman flow, J. Comput. Appl. Math., 307（2016）, pp. 13–24.

[29] Q．Zhang and R. Zhang*, A weak Galerkin mixed finite element method for second-order elliptic equations with Robin boundary conditions, J. Comp. Math., 34(5)(2016), pp. 532–548.

[30] X. Ye, J. Wang, and R. Zhang*,Basics of Weak Galerkin Finite Element Methods, Math. Numeric. Sin., 38(3)(2016), pp. 289 - 308.

[31] Q. Zhai, X. Ye, R. Wang, and R. Zhang*, A weak Galerkin finite element scheme with boundary continuity for second-order elliptic problems,  Comput. Math. Appl., 74(10)(2017),pp. 2243–2252.

[32] T. Tian, Q. Zhai, and R. Zhang*, A new modified weak Galerkin finite element scheme for solving the stationary Stokes equations，J. Comput. Appl. Math. 329(2018), pp. 268–279.

[33] R. Wang, R. Zhang, X. Zhang*, and Z. Zhang, Supercloseness analysis and polynomial preserving recovery for a class of weak Galerkin methods, Numer. Methods Partial Differential Equations, 34(1)(2018), pp. 317-335.

[34] J. Wang, X. Ye, Q. Zhai, R. Zhang*, Discrete Maximum principle for the P1-P0 weak Galerlin finite element approximations, J. Comput. Phys., 362(2018), pp. 114-130.

[35] J. Wang, R. Wang, Q. Zhai，and R. Zhang*, A systematic study on weak Galerkin finite element methods for second order elliptic problems, J. Sci. Comput., 74(3)(2018), pp. 1369–1396.

[36] R.Wang, X. Wang, and R. Zhang*, A Modified Weak Galerkin Finite Element Method for the Poroelasticity Problems, Numer. Math. Theory Methods Appl. , 11（3） 2018，pp. 519-540.  

[37] R. Wang and R. Zhang*, A weak Galerkin finite element method for the linear elasticity problem in mixed form, J. Comput. Math., 36(4)(2018), pp. 469–491.

[38] Q. Zhai, R. Zhang*, N. Malluwawadu, and S. Hussain, The weak Galerkin method for linear hyperbolic equation, Commun. Comput. Phys., 24(1)(2018)，pp. 152–166.

[39] Q. Zhai, H. Xie, and R. Zhang*, Z. Zhang, The weak Galerkin method for elliptic eigenvalue problems，Commun. Comput. Phys.，26(1) (2019), pp. 160–191.  

[40] Q. Zhai, R. Zhang*, Lower and upper bounds of Laplacian eigenvalue problem by weak Galerkin method on triangular meshes, Discrete Contin. Dyn. Syst. Ser. B, 24(1)(2019), pp.403-413.

[41] J. Wang, Q. Zhai, R. Zhang*, and S.Zhang, Weak Galerkin method for the Cahn-Hilliard equations, Math. Comp. 88(315)(2019),pp.211–235.

[42] Q. Zhai, H. Xie*, R. Zhang, and Z. Zhang, Acceleration of weak Galerkin methods for the Laplacian eigenvalue problem, J. Sci. Comput., 79(2)(2019), pp. 914-934.

[43] R. Wang, R. Zhang, X. Wang, and J. Jia, Polynomial preserving recovery for a class of weak Galerkin finite element methods，J. Comput. Appl. Math. 362 (2019), 528–539.

[44] C. Carstensen, Q. Zhai, and R. Zhang, A Skeletal finite element method can compute lower eigenvalue bounds, SIAM J. Numer. Anal., 58(1)(2020), pp. 109-124.

[45] Q. Zhai, T. Tian, R. Zhang, and S. Zhang, A symmetric weak Galerkin method for solving non-divergence form elliptic equations. J. Comput. Appl. Math. 372 (2020), 112693.

[46] Q. Zhai, X. Hu, and R. Zhang*, The shifted-inverse power weak Galerkin method for eigenvalue problems. J. Comput. Math., 38(4)(2020), pp. 606–623.

[47] J. Tian, H. Xie, K. Yang, and R. Zhang, Analysis of continuous collocation solutions for nonlinear functional equations with vanishing delays. Comput. Appl. Math. 39(1) (2020), pp. 11-23.

[48] Q. Zhai, X. Hu, and R. Zhang, The shifted-inverse power weak Galerkin method for eigenvalue problems. J. Comput. Math. 38(4) (2020), pp. 606–623.

[49] H. Peng, Q. Zhai, R. Zhang, and S. Zhang, Weak Galerkin and continuous Galerkin coupled finite element methods for the Stokes-Darcy interface problem. Commun. Comput. Phys. 28(3) (2020), pp. 1147–1175.

[50] Y. Liu, Y. Feng, and R. Zhang, A high order conservative flux optimization finite element method for steady convection-diffusion equations. J. Comput. Phys. 425 (2021), pp. 21

[51] J. Zhang, R. Zhang, X. Wang, A posteriori estimates of Taylor-Hood element for Stokes problem using auxiliary subspace techniques. J. Sci. Comput. 93(1) (2022), pp. 38.

Undergraduate Courses:

Mathematical Analysis I, II, III

The Methods and Technical in Mathematical Analysis

Computational Methods

Calculus I, II

Mathematics Experiments