BIOGRAPHICAL SKETCH

Jingfang Huang Tel: (919) 962-9621

Department of Mathematics Fax: (919) 962-9345

University of North Carolina at Chapel Hill Email:

Chapel Hill, NC 27599-3250 http://www.amath.unc.edu/Faculty/huang/

a. Professional Preparation

Tsinghua University Applied Mathematics B.S. 1991

New York University-Courant Applied Mathematics Ph.D. 1997

New York University-Courant Computational Mathematics 1997-1999

Research Lab of Electronics-MIT Computational Electromagnetics 1999-2000

b. Appointments

2006– Associate Professor

Department of Mathematics, UNC-Chapel Hill

2000–2006 Assistant Professor

Department of Mathematics, UNC-Chapel Hill

1999 – 00 PostDoc Associate

Research Lab of Electronics, MIT

1997 – 99 Associate Research Scientist

Courant Institute of Mathematical Sciences, NYU

1993 – 97 Teaching and Research Assistant

Courant Institute of Mathematical Sciences, NYU

1991 – 93 Engineer

CAD/CAM Center, Ministry of Aerospace, P. R. China

c. Research Interests

Fast algorithms, integral equations, potential theory, and their applications in electromagnetics, solid and fluid dynamics,

molecular mechanics and quantum chemistry. Past and current projects include:

• Fast multipole methods (FMM) for the Helmholtz, Yukawa, biharmonic, and diffusion equations.
• Direct adaptive solvers for linear differential equations based on potential theory.
• New integral formulations for lattice sums.
• A new class of ODE/DAE initial value problem solvers.
• Applications: efficient step flow simulation scheme using potential theory; new surface integral formulations of EMQS impedance extraction; fast integral equation methods for the incompressible Navier-Stokes equations; prototype software package for MEMS design; porous media; and nonlinear shallow water waves.

d1. Ph.D. Thesis

“Direct Adaptive Schemes for Linear Differential Equations”, 1997, Courant Institute of Mathematical Sciences, New York University. Adviser: Professor Leslie Greengard.

d2. Refereed Publications

1. L. Greengard, J.F. Huang, V. Rokhlin, and S. Wandzura, “Accelerating fast multipole methods for the Helmholtz equation at low frequencies”, IEEE Computational Science and Engineering, 5: (3) 32-38 JUL-SEP 1998.

2. J.F. Huang, “Integral representations of harmonic lattice sums”, Journal of Mathematical Physics, 40:(10) 5240-5246, October 1999.

3. L. Greengard and J.F. Huang, “A fast direct solver for elliptic differential equations on adaptively refined meshes”, SIAM Journal on Scientific Computing, 21: (4) 1551-1566, April 2000.

4. A. Dienstfrey, F.B. Hang, and J.F. Huang, “Lattice sums and the two-dimensional, periodic Green's function for the Helmholtz equation”. Proc. R. Soc. Lond. A. 457 (2005): 67-85 JAN 8 2001.

5. Z. Zhu, J.F. Huang, B. Song, and J. White, “A numerically stable surface integral formulation for the impedance extraction of 3D structures”, ICCAD-2001. (Paper acceptance rate around 25%)

6. L. Greengard and J.F. Huang, “A new version of the fast multipole method for screened Coulomb interactions in three dimensions”, Journal of Computational Physics, 180, 642-658, 2002.

7. R. Camassa, J. Huang, and L. Lee, “On a completely integrable numerical scheme for a nonlinear shallow-water wave equation”, Journal of Nonlinear Mathematical Physics, 12, Supp. 1, 2005.

8. H. Cheng, J. Huang, T.J. Leiterman, “An adaptive fast solver for the modified Helmholtz equation in two dimensions”, Journal of Computational Physics, 211:(2) , January 2006, Pages 616-637.

9. A. Dienstfrey and J.F. Huang, “Integral representations for elliptic functions”, Journal of Mathematical Analysis and Applications, Volume 316, Issue 1, 1 April 2006, Pages 142-160.

10. J. Huang, J. Jia, and M. Minion, “Accelerating the convergence of spectral deferred correction methods”, Journal of Computational Physics, 214:(2), May 2006, Pages 633-656

11. J. Huang, M.C. Lai, Y. Xiang, “An integral equation method for epitaxial step-flow growth simulations”, Journal of Computational Physics, Volume 216, Issue 2, 10 August 2006, Pages 724-743.

12. R. Camassa, J. Huang, and L. Lee, “Integral and integrable algorithms for a nonlinear shallow-water wave equation”, Journal of Computational Physics, Volume 216, Issue 2, 10 August 2006, Pages 547-572.

13. H. Cheng, W. Crutchfield, Z. Gimbutas, L. Greengard, F. Ethridge, J. Huang, V. Rokhlin, N. Yarvin, and J. Zhao, “A wideband fast multipole method for the helmholtz equation in three dimensions”, Journal of Computational Physics, Volume 216, Issue 1, 20 July 2006, Pages 300-325.

14. W.Crutchfield, Z. Gimbutas, L. Greengard, J. Huang, V. Rokhlin, N. Yarvin, and J. Zhao, “Remarks on the implementation of the wideband FMM for the Helmholtz equation in two dimensions”, accepted, Contemporary Mathematics.

15. J. Huang, J. Jia, and M. Minion, “Arbitrary order Krylov deferred correction methods for differential algebraic equations”, Program in Applied Mathematics Preprint Series, PAMPS_2005-02 (Preprint attached), 24 pages. Accepted by the Journal of Computational Physics.

d3. Book Chapter

16. J. Huang, “Integral equation methods, fast algorithms, and applications”, in “Microsystem & Nano Technology”, Editor: Professor Zhaoying Zhou. Submitted (in Chinese), 57 pages.

d4. Conference Proceedings

17. J.F. Huang, “A fast adaptive solver for linear differential equations based on potential theory”, Iterative Methods in Scientific Computation IV, 51-63. IMACS Series in Computational and Applied Mathematics Volume 5, 1999.

18. J.F. Huang and Y. Xiang, “An efficient step flow simulation scheme using potential theory”, 861-864, Computational Fluid and Solid Mechanics, Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics, Elsevier, 2001.

d5. Submitted Papers

19. H. Wang, T. Lei, J. Li, J. Huang, and Z. Yao, “A parallel fast multipole accelerated integral equation scheme for 3D Stokes equations”, 29 pages. Submitted to the International Journal for Numerical Methods in Fluids.

20. Benzhuo Lu, Xiaolin Cheng, Jingfang Huang, and J. Andrew McCammon, “An order N algorithm for computation of electrostatic interactions in biomolecular systems”. Submitted to the Proceedings of the National Academy of Sciences.

e. Awards, Honors, Recognition

1. University of North Carolina at Chapel Hill, Junior Faculty Development Award. 2002.
2. First Prize Winner (with Professors M. Minion and M. Taylor), the SIAM 100-Dollar, 100-Digit Challenge, 2002.

3. AMS Travel Award, 2002.

4. Graduate School of Arts and Science, New York University, Dean's Dissertation Fellowship. 1997
5. CAD/CAM Center, Ministry of Aerospace, Beijing. Science and Technology Advancement Award, 1994.
6. CAD/CAM Center, Ministry of Aerospace, Beijing. Science and Technology Advancement Award. 1993.
7. Tsinghua University, Beijing. Chia-chiao Lin Applied Mathematics Award. 1991.

f1. Current Funding

1. (PI) NSF-0411920, “Integral Equation Methods for Variable Coefficient Elliptic Problems and Applications”, NSF-DMS, 2004-2007.

2. (Co-PI) NSF-0327896, “CMG: Multiphase Porous Medium Dynamics: Pore to Field Scale”, NSF-DMS, 2003-2007.

g. Thesis Adviser and Postgraduate-Scholar Sponsor

Master supervisor for

Yichao Wu, M.A. 2003. Current Position: Ph.D. candidate, Department of Statistics at UNC-Chapel Hill.

Thesis: Quantitative Calcium Signaling in Plants

Jennifer Hudson, M.A. 2003. Current Position: Research Scientist, Department of Defense, USA.

Thesis: Spectral Deferred Correction Methods for ODE Initial Value Problem

Doctoral supervisor for

Jun Jia, present, UNC-Chapel Hill.

Proposed Thesis: Krylov Deferred Correction Methods for Differential Equations with Constraints

Doctoral Dissertation Committee Member

Huina Li, present, UNC-Chapel Hill

Peiying Zuo, present, UNC-Chapel Hill

Xiaoyu Zheng, present, UNC-Chapel Hill