Liping Liu

Associate Professor

North Carolina Agricultural and Technical State University
College of Science and Technology


General Classroom Building A431
B.S.Applied Mathematics / Huazhong of Science and Technology
Ph.D.Applied Mathematics / University of Alberta

Research Interests

differential equations, mathematical modeling, computational math, dynamics systems

Recent Publications

  • M. Eray, Numan Dogan, Liping Liu, A. Koch, D. Moffett, M. Silber, B. Van Wie (1993). (A micromachined polyimide aperture for stable bilayer lipid membranes (BLMs)). (11) 40, pp. 2137-2138. Electron Devices, IEEE Transactions on.
  • Quan Zheng, Liping Liu (1996). (Almost periodic regularized groups, semigroups, and cosine functions). (1) 197, pp. 90–112. Journal of mathematical analysis and applications.
  • Solomon Bililign, Liping Liu, CS Feigerle, John Miller (1997). (Metal ion chemistry in clusters initiated by ionization/dissociation of organometallic precursors). (25) 101, pp. 4569–4573. The Journal of Physical Chemistry A.
  • Liping Liu, YS Wong, BHK Lee (1999). (Application of the centre manifold theory in nonlinear aeroelasticity). pp. 533–542. NASA CONFERENCE PUBLICATION.
  • Liping Liu, YS Wong, BHK Lee (2000). (Application of the centre manifold theory in non-linear aeroelasticity). (4) 234, pp. 641–659. Journal of Sound and Vibration.
  • Liping Liu, Ming Mei (2002). (A better asymptotic profile of Rosenau–Burgers equation). (1) 131, pp. 147–170. Applied mathematics and computation.
  • BHK Lee, Liping Liu, YS Wong (2002). (Limit-cycle oscillations of an airfoil with piece-wise linear restoring forces). pp. 442–1. Proc. ICAS 2002 Congress.
  • Liping Liu (2002). (Mathematical analysis in nonlinear aeroelasticity).
  • Liping Liu, YS Wong, BHK Lee (2002). (Non-linear aeroelastic analysis using the point transformation method, Part 1: freeplay model). (2) 253, pp. 447–469. Journal of Sound and Vibration.
  • Liping Liu, Earl Dowell (2004). (The secondary bifurcation of an aeroelastic airfoil motion: effect of high harmonics). (1) 37, pp. 31–49. Nonlinear Dynamics.
  • BHK Lee, Liping Liu, KW Chung (2005). (Airfoil motion in subsonic flow with strong cubic nonlinear restoring forces). (3) 281, pp. 699–717. Journal of Sound and Vibration.
  • Liping Liu, Earl Dowell (2005). (Harmonic balance approach for an airfoil with a freeplay control surface). (4) 43, pp. 802–815. AIAA journal.
  • Liping Liu, Earl Dowell, Jeffrey Thomas (2005). (Higher order harmonic balance analysis for limit cycle oscillations in an airfoil with cubic restoring forces). Proceedings of the 46th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics & materials conference, Austin, Texas.
  • Liping Liu, Earl Dowell (2005). (Limit Cycle Oscillations of an Airfoil Including a Control Surface with Freeplay: High Order Harmonic Balance Prediction). (4) 43, pp. 802-815. AIAA Journal.
  • Liping Liu, Jeffrey Thomas, Earl Dowell, P Attar, Kenneth Hall (2006). (A comparison of classical and high dimensional harmonic balance approaches for a Duffing oscillator). (1) 215, pp. 298–320. Journal of Computational Physics.
  • Ben Lee, Liping Liu (2006). (Bifurcation analysis of airfoil in subsonic flow with coupled cubic restoring forces). (3) 43, pp. 652–659. Journal of aircraft.
  • Liping Liu, EH Dowell, JP Thomas (2007). (A high dimensional harmonic balance approach for an aeroelastic airfoil with cubic restoring forces). (3) 23, pp. 351–363. Journal of Fluids and Structures.
  • Liping Liu, Earl Dowell, Kenneth Hall (2007). (A novel harmonic balance analysis for the Van Der Pol oscillator). (1) 42, pp. 2–12. International Journal of Non-Linear Mechanics.
  • Liping Liu, Ming Mei, Yau Wong (2007). (Asymptotic behavior of solutions to the Rosenau–Burgers equation with a periodic initial boundary). (8) 67, pp. 2527–2539. Nonlinear Analysis: Theory, Methods & Applications.
  • Ming Mei, Yau Wong, Liping Liu (2007). (Phase transitions in a coupled viscoelastic system with periodic initial-boundary condition:(II) convergence). (4) 7, pp. 839. Discrete and Continuous Dynamical Systems Series B.
  • Ming Mei, Yau Wong, Liping Liu (2008). (Stationary solutions of phase transitions in a coupled viscoelastic system). pp. 277–293. Nonlinear Analysis Research Trends”, Edited by N. Roux, Nova Science Publishers, Inc.
  • Zhijun Qiao, Liping Liu (2009). (A new integrable equation with no smooth solitons). (2) 41, pp. 587–593. Chaos, Solitons & Fractals.
  • Yuh Lang Lin, Liping Liu, Guoqing Tang, James Spinks, Wilson Jones (2009). (Origin of the pre-tropical storm Debby (2006) African easterly wave-mesoscale convective system). pp. 1–22. Meteorology and Atmospheric Physics.
  • Xia Wang, Liping Liu (2009). (Two new families of sixth-order methods for solving non-linear equations). (1) 213, pp. 73–78. Applied Mathematics and Computation.
  • Liping Liu, Xia Wang (2010). (Eighth-order methods with high efficiency index for solving nonlinear equations). (9) 215, pp. 3449–3454. Applied Mathematics and Computation.
  • Liping Liu, Tamás Kalmár-Nagy (2010). (High-dimensional harmonic balance analysis for second-order delay-differential equations). Journal of Vibration and Control.
  • Xia Wang, Liping Liu (2010). (Modified Ostrowski’s method with eighth-order convergence and high efficiency index). (5) 23, pp. 549–554. Applied Mathematics Letters.
  • Xia Wang, Liping Liu (2010). (New eighth-order iterative methods for solving nonlinear equations). (5) 234, pp. 1611–1620. Journal of Computational and Applied Mathematics.
  • Liping Liu, Dominic Clemence, Ronald Mickens (2011). (A nonstandard finite difference scheme for contaminant transport with kinetic langmuir sorption). (4) 27, pp. 767–785. Numerical Methods for Partial Differential Equations.
  • Yuh Lang Lin, Liping Liu, Guoqing Tang, James Spinks, Wilson Jones (2013). (Origin of pre-Debby (2006) African easterly wave and mesoscale convective system). 120, pp. 123-144. Meteorology and Atmospheric Physics.
  • Yuh Lang Lin, Liping Liu, Guoqing Tang, James Spinks, Wilson Jones (2013). (Origin of the pre-tropical storm Debby (2006) African easterly wave-mesoscale convective system). (3-4) 120, pp. 123–144. Meteorology and Atmospheric Physics.
  • Paramanathan Varatharajah, Barbara Tankersley, Janis Oldham, Zachary Denton, Liping Liu (2014). (Calculus I Workbook (Early Transcendentals)). Pearson Custom Publishing.
  • Raymond Smith, Aleah Archibald, Elijah MacCarthy, Liping Liu, Nicholas Luke (2016). (A Mathematical Investigation of Vaccination Strategies to Prevent a Measles Epidemic). North Carolina Journal of Mathematics and Statistics.
  • Liping Liu, Yuh Lang Lin, Shu-Hua Chen, , (2016). (Effects of Landfall Location and Approach Angle of an Idealized Tropical Cyclone over a Long Mountain Range). (14) 4, Front. Earth Sci..
  • Yuh Lang Lin, Shu-Hua Chen, Liping Liu (2016). (Orographic Influence on Basic Flow and Cyclone Circulation and Their Impacts on Track Deflection of an Idealized Tropical Cyclone). 73, pp. 3951-3974. Journal of the Atmospheric Science.
  • Guy Oldaker, Liping Liu, Yuh-Lang Lin (2017). (Influence of Appalachian orography on heavy rainfall and rainfall variability associated with the passage of Hurricane Isabel by ensemble simulations). Journal of Meteorology and Atmospheric Physics.
  • Joshua Traynelis, Michael Silk, Quanli Wang, Samuel Berkovic, Liping Liu (2017). (Optimizing genomic medicine in epilepsy through a gene-customized approach to missense variant interpretation). 27, pp. 1715-1729. Genome Research.
  • Stephanie Kelly, Liping Liu, Zachary Denton, Clinton Lee, Stephen Croucher (2018). (Instructional Immediacy in the Chinese Quantitative Reasoning Classroom). 118, pp. 104-112. School Science and Mathematics.
  • Jessye Bemley, Lauren Davis, Liu, Benjamin Morin (2019). (A Vector-Borne Contamination Model to Assess food-borne outbreak intervention Strategies). 66, pp. 383-403. Applied Mathematical Modeling .