McMicken College of Arts & SciencesMcMicken College of Arts & SciencesUniversity of Cincinnati

McMicken College of Arts & Sciences

Department of Mathematical Sciences

Department of Mathematical Sciences

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Ning Zhong

Title: Professor
Office: 5514 French Hall
Tel: 513-556-4086
Email: ning.zhong@uc.edu

Education

  • PhD, University of Wisconsin at Madison, 1991.

Publications

Peer Reviewed Publications

  • (Selected publications. If you have access to MathSciNet you can see other publications.)
  •  Computing geometric Lorenz attractors with arbitrary precision ( with D. S. Graca and C. Rojas), accepted and to appear  in Transactions of the AMS.
  • On sharpness of the local Kato-smoothing property for dispersive wave equations (with S.M. Sun, E. Trelat, and B.Y. Zhang), Proc. Amer. Math. Soc. 145(2017), 653 – 664
  • An analytic System with a Computable Hyperbolic Sink Whose Basin of Attraction is Non-Computable (with Daniel Graca), Theory of Computing Systems, Volume 57, Issue 2 (2015), 478 -- 520
  • Computability aspects for 1st-order partial differential equations via characteristics (with S. Sun), Theoretical Computer Science, Volume 583, Issue C (2015), 27 -- 39
     
  • On Computability of Navier-Stokes’ Equation (with S. Sun and M. Ziegler), Lecture Notes in Computer Science, Volume 9136 (2015), 334-342 
  • On Effective Convergence of Numerical Solutions for Differential Equations (with S. Sun), ACM Transaction on Computation Theory, Vol. 6, No. 1 (2014), 55 -- 80
  • A Tribute to Marian Boykan Pour-El (1928 -- 2009) (with I. Pour-El),   J. Logic Computation, first published online doi:10.1093/logcom/exs073 (2013)
  • Computability and computational complexity of the evolution of nonlinear dynamical systems (with O. Bournez, D. S. Graca, and A. Pouly), Lecture Notes in Computer Science, volume 7921 (2013), 12 – 21
  • Computability, Noncomputability, and Hyperbolic Systems (with D.S. Graca and J. Buescu), Applied Mathematics and Computation, 219 (2012), no. 6, 3039 –- 3054
  • The connection between computability of a nonlinear problem and its linearization: The Hartman-Grobman theorem revisited (with D.S.Graca and H.S.Dumas),  Theoretical Comput. Sci.  457 (2012), 101 -- 110
  • Computability and Dynamical Systems (with J. Buescu and D.S. Graca), Dynamics, Games, and Science I, Mauricio Matos Peixoto, Alberto Adrego Pinto, David A. Rand (Eds.), Springer Proceedings in Mathematics, Vol. 1 (2011), 169 - 182
  • Computability in planar dynamical systems (with D. S. Graca), Natural Computing, Volume 10, Issue 4 (2011), 1295 -- 1312.
  • Computational unsolvability of domains of attraction of nonlinear systems, Proc. Amer. Math. Soc. 137 (2009), 2773-2783.
  • Topological complexity of blowup problems (with R. Rettinger & K. Weihrauch), Journal of Universal Computer Science, VOl. 15, Issue 6, 1301-1316, 2009.
  • Computability, noncomputability and undecidability of maximal intervals of IVPs (with D.S. Graca & J. Buescu), Trans. Amer. Math. Soc. 361(6), 2913-2927, 2009.
  • Computable analysis of the abstract Cauchy problem in Banach spaces and its applications I (with K. Weihrauch),   Mathematical Logic Quarterly, 53(4-5), 511-531, 2007.
  • Computable analysis of a boundary-value problem for the Korteweg-de Vries equation, Theory of Computing Systems, 41, 155-175, 2007.
  • An algorithm for computing fundamental solutions (with K. Weihrauch), SIAM Journal on Computing, 35(6), 1283-1294, 2006.
  • Computing Schrodinger propagators on type-2 Turing machines (with K. Weihrauch), J. Complexity, 22(6), 918–935, 2006.
  • Computing the solution of the Korteweg-de Vries equation with arbitrary precision on Turing machines (with K. Weihrauch), Theoretical Computer Science, 332, 337-366, 2005.
  • Computability theory of generalized functions (with K. Weihrauch), Journal of ACM, 50(4), 469-505, 2003.
  • Is the wave propagator computable or can wave machines beat Turing machines (with K. Weihrauch)? Proceedings of the London Mathematical Society, 3(85), 312-332, 2002.

Experience & Service

Events Organized

  • Member, Steering Committee for the international conference series Computability and Complexity in Analysis (http://cca-net.de) (01/01/2005 to Present) .

Service

  • Member of Editorial Board, Computability, the Journal of the Association Computability in Europe (http://www.computability.de/journal/) 08-2011 to Present