Department of Mathematics
University of North Carolina at Chapel Hill
Chapel Hill, NC 27599-3250
Tel: (919) 962-9621
Fax: (919) 962-9345
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 PostDoc, 1997-1999
Research Lab of Electronics-MIT, Computational Electromagnetics PostDoc, 1999-2000
2000–present: Assistant(2000-06), Associate(2006-10), and Full(2011-present) 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: biomolecular electrostatic interactions; biofludic device simulations; 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, porous media, dislocation dynamics, 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.
- 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.
- J.F. Huang, “Integral representations of harmonic lattice sums”, Journal of Mathematical Physics, 40:(10) 5240-5246, October 1999.
- 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.
- 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.
- 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.
- 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.
- Z. Zhu, J.F. Huang, B. Song, and J. White, “Improving the robustness of a surface integral formulation for wideband impendance extraction of 3D structures”, ICCAD-2001.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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”, Contemporary Mathematics 408, 99-110, American Mathematical Society, 2006.
- Benzhuo Lu, Xiaolin Cheng, Jingfang Huang, and J. Andrew McCammon, “An order N algorithm for computation of electrostatic interactions in biomolecular systems”. The Proceedings of the National Academy of Sciences, December 19, 2006, vol. 103, no. 51, pp. 19314-19319.
- J. Huang, J. Jia, and M. Minion, “Arbitrary order Krylov deferred correction methods for differential algebraic equations”, Journal of Computational Physics, Volume 221, Issue 2, 10 February 2007, Pages 739-760.
- H. Wang, T. Lei, J. Li, J. Huang, and Z. Yao, “A parallel fast multipole accelerated integral equation scheme for 3D Stokes equations”, International Journal for Numerical Methods in Engineering , Volume 70, Issue 7, 14 May 2007, Pages: 812-839.
- J. Jia, and J. Huang, “Krylov Deferred Correction Accelerated Method of Lines Transpose for Parabolic Systems”, Journal of Computational Physics, Volume 227, Issue 3, 10 January 2008, Pages 1739-1753.
- Sunyoung Bu, Jingfang Huang, and Michael Minion, “Semi-implicit Krylov Deferred Correction Methods for Ordinary Differential Equations”, proceedings of the 15th American Conference on Applied Mathematics and proceedings of the international conference on computational and information sciences 2009, vol. I and II, 95-100 2009.
- Ben-zhuo Lu, Xiaolin Cheng, Jingfang Huang, and J. Andrew McCammon, “An adaptive fast multipole boundary element method for Poisson-Boltzmann electrostatics”, Journal of Chemical Theory and Computation, 2009, 5 (6), pp 1692–1699.
- Jingfang Huang, Jun Jia, and Bo Zhang, “FMM-Yukawa: An Adaptive Fast Multipole Method for Screened Coulomb Interactions”, Computer Physics Communications, Volume 180, Issue 11, November 2009, Pages 2331-2338.
- Ben-zhuo Lu, Xiaolin Cheng, Jingfang Huang, and J. Andrew McCammon, “AFMPB: An Adaptive Fast Multipole Poisson-Boltzmann Solver for Calculating Electrostatics in Biomolecular Systems”, Computer Physics Communications, 181, 2010, pp 1150–1160.
- Degang Zhao, Jingfang Huang, and Yang Xiang, “A new version Fast Multipole Method for evaluating the stress field of dislocation ensembles”, Modeling and Simulation in Materials Science and Engineering, Volume 18, Number 4, (2010) 045006.
- Sunyoung Bu, Jingfang Huang, Cass Miller, Treavor Boyer, “An Evaluation of Solution Algorithms and Numerical Approximation Methods for Modeling an Ion Exchange Process”, Journal of Computational Physics, Volume 229, Issue 13, 1 July 2010, Pages 4996-5010.
- Quangdong Feng, Jingfang Huang, Ningming Nie, Zaijiu Shang, Yifa Tang, “IMPLEMENTING ARBITRARILY HIGH-ORDER SYMPLECTIC METHODS VIA KRYLOV DEFERRED CORRECTION TECHNIQUE”, International Journal of Modeling, Simulation, and Scientific Computing (IJMSSC), Volume: 1, Issue: 2(2010) pp. 277-301.
- Bo Zhang, Jingfang Huang, Nikos P. Pitsianis, and Xiaobai Sun, “Revision of FMM-Yukawa: An Adaptive Fast Multipole Method for Screened Coulomb Interactions”, Computer Physics Communications, 181 (12): 2206-2207, 2010.
- Bo Zhang, Jingfang Huang, Nikos P. Pitsianis, Xiaobai Sun, “A Fourier-Series-Based Kernel-Independent Fast Multipole Method”, Journal of Computational Physics, Volume 230, Issue 15, 1 July 2011, Pages 5807-5821.
- B. Zhang, J. Huang, N. P. Pitsianis and X. Sun. Dynamic Prioritization for Parallel Traversal of Irregularly Structured Spatio-Temporal Graphs. 3rd USENIX Workshop on Hot Topics in Parallelism, 2011 .
- D. Zhao, J. Huang and Y. Xiang, “Fast multipole accelerated boundary integral equation method for evaluating the stress field associated with dislocations in a finite medium”, Communications in Computational Physics, Vol. 12, No. 1, pp. 226-246, 2012.
- Sunyoung Bu, Jingfang Huang, and Michael L. Minion, “Semi-implicit Krylov Deferred Correction Methods for Differential Algebraic Equations”, Mathematics of Computation, Vol 81, Issue 280, Pages 2127-2157, 2012.
- B. Zhang, B. Lu, X. Cheng, J. Huang, N.P. Pitsianis, X. Sun, and J.A. McCammon, “Mathematical and Numerical Aspects of the Adaptive Fast Multipole Poisson-Boltzmann Solver”, Communications in Computational Physics, No. 1 (13), pp. 107-128, 2013.
- S. Jiang, Z. Liang and J. Huang, “A Fast Algorithm for Brownian Dynamics Simulation with Hydrodynamic Interactions”, Math. Comp. 82, pp. 1631-1645, 2013.
- Cass T. Miller, Clint N. Dawson, Matthew W. Farthing, Thomas Y. Hou, Jingfang Huang, Christopher E. Kees, C.T. Kelley and Hans Petter Langtangen, “Numerical Simulation of Water Resources Problems: Models, Methods, and Trends”, Advances in Water Resources, 51, pp. 405-437, January 2013.
- Zhi Liang, Zydrunas Gimbutas, Leslie Greengard, Jingfang Huang, and Shidong Jiang, “A fast multipole method for the Rotne-Prager-Yamakawa tensor and its applications”, Journal of Computational Physics, Volume 234, Pages 133-139, Feb. 2013.
- Lu, Benzhuo, Xiaolin Cheng, Jingfang Huang, and J. Andrew McCammon. “AFMPB: An adaptive fast multipole Poisson–Boltzmann solver for calculating electrostatics in biomolecular systems.” Computer Physics Communications 184, no. 11 (2013): 2618-2619.
d3. Book Chapter, Websites, Software Packages and Manuals
- Book Chapter: J. Huang, “Integral equation methods, fast algorithms, and applications”, in “Microsystem & Nano Technology”, edited by Zhaoying Zhou, Science Press, 2007.
- Software Package: “FMM Suite: Fast Multipole Methods and Applications”. This package includes FMM-Yukawa for the Yukawa potential, FMM-Laplace for the Laplace equation and FMM-Helmholtz for the low frequency Helmholtz equation. The package is/will be released under open source license agreement, 2009.
- Software Package: “AFMPB: Adaptive Fast Multipole Poisson-Boltzmann Equation Solver”. A package for the efficient solution of the linearized Poisson-Boltzmann equation describing the electrostatic interactions of molecules. This package will be released under open source license agreement, 2009.
- Website: www.fastmultipole.org: a website for the integral equation and fast algorithms community, which include open source FMM codes, integral equation and FMM tutorials, and various useful links for the community, 2009.
e. Awards, Honors, Recognition
- University of North Carolina at Chapel Hill, Junior Faculty Development Award, 2002.
- First Prize Winner (with Professors M. Minion and M. Taylor), the SIAM 100-Dollar, 100-Digit Challenge, 2002.
- Graduate School of Arts and Science, New York University, Dean’s Dissertation Fellowship. 1997
- Tsinghua University, Beijing. Chia-chiao Lin Applied Mathematics Award. 1991.