Mailing Address: School of Mathematics, Jilin University, Changchun 130012, China
E-mail: zhangran@jlu.edu.cn
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 |
