REFEREED JOURNAL ARTICLES IN MATHEMATICS 1. W. He, R. Lin, and Z. Zhang, Ultraconvergence of finite element method by Richardson extrapolation for elliptic problems with constant coefficients. SIAM Journal on Numerical Analysis, 54 (2016), pp. 2302-2322 (DOI: 10.1137/15M1031710) 2. R. Lin, A discontinuous Galerkin least-squares finite element method for solving coupled singularly perturbed reaction-diffusion equations. Journal of Computational and Applied Mathematics, 307 (2016), pp. 134-142 (DOI: 10.1016/j.cam.2016.02.052) 3. S. Du, R. Lin, and Z. Zhang, A posteriori error analysis of multipoint flux mixed finite element methods for interface problems. Advances in Computational Mathematics, 42 (2016), pp. 921-945 (DOI: 10.1007/s10444-015-9447-7) 4. R. Lin and M. Stynes, A balanced finite element method for a system of singularly perturbed reaction-diffusion two-point boundary value problems. Numerical Algorithms, 70 (2015), pp. 691-707 (MR3428676, DOI: 10.1007/s11075-015-9969-6) 5. H. Feng and R. Lin, A finite difference method for the FitzHugh-Nagumo equations. Dynamics of Continuous, Discrete and Impulsive Systems-Series B, 22 (2015), pp. 401-412 (MR3421791) 6. H. Feng, W. Zhao, and R. Lin, Several finite difference schemes to solve FitzHugh-Nagumo equations (Chinese). Journal of Qingdao University (Natural Science Edition), 28 (2015), No. 2, pp. 5-10, 21 (DOI: 10.3969/j.issn.1006-1037.2015.05.02) 7. R. Lin and H. Zhu, A discontinuous Galerkin least-squares finite element method for solving Fisher's equation. Discrete and Continuous Dynamical Systems. Series A, (2013) Dynamical Systems and Differential Equations. Proceedings of the 9th AIMS International Conference, suppl., pp. 489-497 (Zbl 1307.65135) 8. H. Zhu and R. Lin, L 9. R. Lin and M. Stynes, A new mixed finite element method for singularly perturbed reaction-diffusion problems. SIAM Journal on Numerical Analysis, 50 (2012), pp. 2729-2743 (MR3022240, DOI: 10.1137/110837784) 10. R. Lin and Z. Zhang, Convergence analysis for least-squares approximations to solutions of second-order two-point boundary value problems. Journal of Computational and Applied Mathematics, 236 (2012), pp. 4436-4447 (MR2942439, DOI: 10.1016/j.cam.2012.04.016) 11. R. Lin, Discontinuous Galerkin least-squares finite element method for singularly perturbed reaction-diffusion problems with discontinuous coefficients and corner singularities. Numerische Mathematik, 112 (2009), pp. 295-318 (MR2495786, DOI: 10.1007/s00211-008-0208-0) 12. R. Lin and Z. Zhang, Numerical study of natural superconvergence in least-squares finite element methods for elliptic problems. Applications of Mathematics, 54 (2009), pp. 251-266 (MR2530542, DOI: 10.1007/s10492-009-0016-6) 13. R. Lin, Discontinuous discretization for least-squares formulation of singularly perturbed reaction-diffusion problems in one and two dimensions. SIAM Journal on Numerical Analysis, 47 (2008/09), pp. 89-108 (MR2452853, DOI: 10.1137/070700267) 14. R. Lin, A robust finite element method for singularly perturbed convection-diffusion problems. Discrete and Continuous Dynamical Systems-Series A, (2009) Dynamical Systems and Differential Equations. Proceedings of the 7th AIMS International Conference, suppl., pp. 496-505 (MR2641427) 15. R. Lin and Z. Zhang, Natural superconvergence of three-dimensional finite elements. SIAM Journal on Numerical Analysis, 46 (2008), pp. 1281-1297 (MR2390994, DOI: 10.1137/070681168) 16. R. Lin, A discontinuous least-squares finite element method for singularly perturbed reaction-diffusion problems. Dynamics of Continuous, Discrete and Impulsive Systems, Series A, 14 (2007), Advances in Dynamical Systems, suppl. S2, pp. 243-246 (MR2384140) 17. R. Lin and Z. Zhang, Derivative superconvergence of equilateral triangular finite elements. Recent advances in adaptive computation, pp. 299-310, Contemporary Mathematics, Vol. 383, AMS, Providence, RI, 2005 (MR2195889, DOI: 10.1090/conm/383/07174) 18. Z. Zhang and R. Lin, Locating natural superconvergent points of finite element methods in 3D. International Journal of Numerical Analysis and Modeling, 2 (2005), pp. 19-30 (MR2112655) 19. R. Lin and Z. Zhang, Natural superconvergent points of triangular finite elements. Numerical Methods for Partial Differential Equations, 20 (2004), pp. 864-906 (MR2092411, DOI: 10.1002/num.20013) 20. Z. Zhang and R. Lin, Ultraconvergence of ZZ patch recovery at mesh symmetry points. Numerische Mathematik, 95 (2003), pp. 781-801 (MR2013128, DOI: 10.1007/s00211-003-0457-x) 21. Z. Huang, R. Lin, J. Sheng, W. Cui, & S. Chen, Numerical Computation of Vertex Shedding Flow around 2D Building (Chinese). Chinese Science Abstracts, 6 (2000), pp. 72-73
OTHER REFEREED PUBLICATIONS 1. H.R. Goonatilake, K.D. Lewis, R. Lin, and C.E. Kidd, Improving gender disparity in scholarship programs for secondary-level mathematics teachers. Mathematics Teaching-Research Journal, Vol. 8 (Fall and Winter 2015/2016), No. 1-2, pp. 47-57 2. H.R. Goonatilake, K.D. Lewis, R. Lin, and C.E. Kidd, A glimpse into the effectiveness of mentoring and enrichment activities for scholarship recipients in a teacher preparation program. Mathematics Teaching-Research Journal, Vol. 7 (Winter 2014/2015), No. 2, pp. 26-34 3. M.T. Khasawneh, R. Bachnak, R. Goonatilake, R. Lin, P. Biswas, and S.C. Maldonado, Promoting STEM Education and Careers among Hispanics and Other Minorities through Programs, Enrichment, and other Activities. Proc. of 121th ASEE Annual Conference & Exposition, Paper #9486, Indianapolis, IN, June 15-18, 2014 4. P. Biswas and R. Lin, Agile Development Process of a Web-Based Application to Improve Retention of Hispanic STEM Students. Proc. of 121th ASEE Annual Conference & Exposition, Paper #9577, Indianapolis, IN, June 15-18, 2014 5. P. Biswas and R. Lin, Improve retention rate and performance of students in STEM field using a virtual teaching assistant system. Proc. of 120th ASEE Annual Conference & Exposition, Paper #7817, Atlanta, Georgia, June 2013 6. P. Biswas, R. Lin, R. Hanumanthgari, S.B. Vojjala, Development of a virtual teaching assistant system applying Agile methodology. Proc. of 119th ASEE Annual Conference & Exposition, Paper #3945, San Antonio, TX, June 2012 7. R. Bachnak, R. Lin, and R. Goonatilake, Program for student retention and success in engineering. Proc. of the 2011 Annual Conference of the American Society for Engineering Education, CD-ROM, Vancouver, Canada, June 2011 8. H.R. Goonatilake, R.A. Bachnak, C. Oshima, and R. Lin, College algebra support project (CASP): a multifaceted course suited for today`s classrooms. Mathematics Teaching-Research Journal, 4 (2011), pp. 58-73 9. F. Belkhouche, F. Wu, R. Lin, and T. Jin, Multi-observer three-point tracking law with networked observers. Proceedings of 2008 International Conference on Automation, Robotics and Control Systems (ARCS-08), Orlando, FL, July 7-10, 2008, pp. 110-115 10. R. Lin, H. Wang, B. Alidaee, and G. Kochenberger, Preferable-interval approaches to the single-sink fixed-charge transportation problem. Proceedings of ICMI 2007: The 1st Conference on Management Innovation, Shanghai, China, June 4-6, 2007, pp. 46-51
NON-REFEREED PUBLICATIONS 1. R. Lin, A preferable-interval approach to the single-sink fixed-charge transportation problem. Proceedings of 12th Annual Conference "Western Hemispheric Integration in a Competitive Global Environment", Laredo, TX, March 21-24, 2007; Technical Report of Texas Center for Border Economic and Enterprise Development, 2006 2. R. Lin, Natural superconvergence in two and three-dimensional finite element methods. Ph.D. Dissertation, 2005 3. D. Dunlavy, S. Joo, R. Lin, R. Marcia, A. Minut, and J. Sun (Mentor: R. Melville), Numerical steady-state solutions of non-linear DAE's arising in RF communication circuit design. IMA preprint, number 1752-1, 2001 4. R. Lin, Numerical simulations of seismic wave propagations in stratified media. (Chinese) Master Thesis, 1999 |

Research |