Zhongming Wang

Department of Mathematics UCSD
9500 Gilman Dr. La Jolla,
CA 92093-0112
Email: z2wang@math.ucsd.edu
Office: AP&M 5848
Office Phone:858-534-5863
Cell Phone: 515-441-9194

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    Professional Preparation

      - Postdoc, Mathematics, UCSD, May 2008-Present
           Mentors: Prof. Bo Li and Prof. Li-Tien Cheng

     - Ph.D., Mathematics, Iowa State University, May 2008
          Advisor: Prof. Hailiang Liu (Thesis)

    - B.S. Computing Mathematics, City University of Hong Kong, Hong Kong 2003
          Advisor: Prof. Felipe Cucker

     - Undergraduate Study, Mathematics Department, Fudan University, Shanghai, China 1999-2000


 
    Research Interests
      1.The level set method
      2. Numerical analysis and scientific computation
      3.
Applied mathematics and mathematical biology

    Past and current Research Projects
      1.
Electrostatics, Coulomb and Yukawa-field, and the Poisson–Boltzmann equation
      2.
Monte Carlo simulation
      3.
Variational implicit solvent model in biochemistry
      4.
The Poisson–Nernst–Planck model
      5.
Particle trajectory crossing in two-phase flows
      6. Computation of semi-classical approximation of the Schr¨odinger equation, multi-valued solutions to the Euler-Poisson equation and high frequency wave Propagation
 
   CV     Research Statement      Teaching Statement
    AMS Cover Sheet


   Awards and Honors
   
Wolfe Fellowship, Iowa State University, 2007
     Robert J. Lambert Applied Mathematics Award, Iowa State University, 2006
     Chinese Undergraduates Modeling Contest, Second Prize, 2002
     Hong Kong Jockey Club Charity Trust Scholarship for Outstanding Mainland Students, 2000-2003


     Publication
     [11.]
S. Zhou, Z. Wang and B. Li, Mean-field description of ionic size effects with nonuniform ionic sizes: A numerical approach, accepted by PRE
     [10.] Z. Wang, J. Che, L.T. Cheng,J. Dzubiella, B. Li and A. McCammon, Level-set variational implicit solvation  model with Coulomb-field approximation, in preparation
     [9.] L.-T. Cheng, B. Li,  Z. Wang, Level-set minimization of potential controlled Hadwiger valuations for molecular solvation, J. Comput. Phys., 229 (2010), 8497--8510 (pdf)
     [8.]
H. Liu, Z. Wang and F. Rodney, A level set approach for dilute fluid-particle flows, J. Comput. Phys. In Press (2010) (pdf)
     [7.]
B. Li, B. Lu, Z. Wang and A. McCammon, Solutions to a model Poisson-Nernst-Planck system and the determination of reaction rates, Physica A 389 (2010), 1329--1345 (pdf)
     [6.]  P. Setny, Z. Wang, L.-T. Cheng, B. Li, J.A. McCammon, J. Dzubiella, Dewetting-controlled binding of ligands to hydrophobic pockets, Physical Review Letters 103 (2009),  no.18, 187801(pdf)
             Note: This article was also selected for republication in the Nov 1, 2009 issue of Virtual J. of Biological Physics Research.
     [5.] L.-T. Cheng, Z. Wang, P. Setny, J. Dzubiella, B. Li and A. McCammon, Interfaces and hydrophobic interactions in receptor-ligand systems: A level-set variational implicit solvent approach,  J. Chem. Phys., 131 (2009), no.14, 144102(pdf)
            Note: This article was also selected for republication in the Oct. 15, 2009 issue of Virtual J. of Biological Physics Research.
           Supplement materials: video 1, video 2 for two plates and video 3, video 4 for pocket-ligand system       

     [4.] H. Liu and Z. Wang, A Bloch band based level set method for computing  the semiclassical limit in Schroedinger equations,  J. Comput. Phys.  228 (2009), no. 9, 3326--3344. (pdf)
     [3.] H. Liu and Z. Wang, Superposition of multi-valued solutions in high frequency wave dynamics, J. Sci. Comput. 35 (2008), no. 2-3, 192--218. (pdf)
    
[2] H. Liu and Z. Wang, A field space-based level set method for computing multi-valued solutions to 1D Euler-Poisson equations, Journal of Computational Physics, 2007     (225), 591--614 (pdf)
     [1] H. Liu and Z. Wang, Computing multi-valued velocity and electrical fields for 1d Euler-Poisson equations.  Applied Numerical Mathematics, 57 (2007), 821--836 (pdf)


 
    Seminar and Conference Talks
       [9] A Level Set Approach for Dilute Non-Collisional Fluid-Particle flows, 2011 Spring AMS Central Section Meeting, Iowa City, IA, March 18-20, 2011 
       [8] A Level-Set Variational Implicit-Solvent Approach to Biomolecular Solvation, International Research Workshop, Zhejiang University, Hangzhou, China, Sept. 11, 2009
       [7] A Bloch Band Based Level Set Method for Computing the Semiclassical Limit of Schroedinger, Kinetic FRG Young Researchers Workshop, March 5, 2009
       [6] A Level-Set Variational Implicit-Solvent Approach to Hydrophobic Interactions UCSD Informal Seminars on Mathematics and Biochemistry-Biophysics, Jan 27, 2009
       [5] Solutions to a Model Poisson-Nernst-Planck System and the Determination of Reaction Rates, Informal Seminars on Mathematics and Biochemistry-Biophysics, Department of Mathematics, UCSD, Nov, 2008
       [4] A Field Space-Based Level Set Method for Computing Multi-Valued Solutions to 1D Euler-Poisson Equations, Conference on Analysis of Partial Differential Equations (PD07), Mesa, Az., December 10-12, 2007
       [3] Superposition of Multi-valued Solutions in High Frequency Wave Dynamics, CAM seminar, Department of Mathematics, Iowa State University, Ames, IA. October 8, 2007
       [2] Application of Level Set Method to 1D Euler-Poisson Equations, CAM seminar, Department of Mathematics, Iowa State University, Ames, IA. October 30, 2006
       [1] Level set formulation and computation of multi-valued solutions to 1D Euler-Poisson equations, Iowa Section MAA Meeting, Iowa State University, Ames, IA. April 7, 2006


 
 
   Poster Presentations
     [2] Computation of Multi-Valued Solutions in High Frequency Wave Dynamics.
Computational and Mathematical Aspects of   Materials and Fluids, Iowa State University, April 13, 2007
     [1] Computing Multi-valued Velocity and Electrical Fields in Euler-Poisson Equations.
Workshop on Computational Methods and Applied PDEs(CMAPDE05), Mathematics Department, Iowa State University, Ames, IA, November 5, 2005


    Teaching Experience
      - University of California, San Diego, Mathematics
          Instructor: Vector Calculus, Winter 2011
      - Iowa State University, Mathematics
          Instructor: Survey of Calculus, Spring 2008, Fall 2007; Calculus I, Spring 2006
         Teaching Assistant: Master of School Mathematics, Summer 2007;

                                         Discrete Mathematics for Business and Social Sciences(Web-based), Fall 2005;

                                         Calculus I, II or III, Fall 2003–Spring 2005, Fall 2006;
         Group Leader: Numerical Analysis Qualifying Exam Study Group , Summer 2006


  
   Professional A
liation
   
 Member: AMS, SIAM

 Last updated: Nov 10, 2010