Professor

- Phone:
- (86-21) 54745849
- Office:
- 331
- Email:
- wying{At}sjtu{dot}edu{dot}cn
- Homepage:
- http://www.math.sjtu.edu.cn/faculty/wying

Ying Wenjun, distinguished research fellow; bachelor of Tsinghua University, doctorate and post-doctorate of Duke University, and the tenure-track assistant professor of Michigan Technological University. He has put forward the computational method of spatial-temporal adaptation for the analogue simulation of heart transmission in electrocardiac wave, which has reached the internationally advanced level. The method can be applied in the hydromechanics (such as supersonic flight simulation), or other important science and engineering problems in mathematical biology. In the case of the simulation of electrocardiac wave transmission, he has proposed the full –implicit temporal integral method for the reaction-diffusion equation. And on the studies of the impact of biological cells on electrical field stimulation, he has proposed the method of hybrid finite element, which significantly improved the computation precision and efficiency. He proposed the nucleus-free boundary integral method as to partial differential equation of elliptic type, which has overcome several limitations of traditional boundary integral method. Researchers can use the nucleus-free boundary integral method without needing to know the analytic expression of integral kernel. The method has extended the boundary integral method to the partial differential equation of solvable coefficient and anisotropy. He has won the funding of NSF in 2009 for his studies on the nucleus-free boundary integral method.

The general areas of Ying’s interests include scientific computing, modeling/simulation and numerical methods for mathematical problems arising from science and engineering applications, such as mathematical biology, computational electro-physiology and computational fluid dynamics. Dr. Ying has made intensive studies on space-time adaptive mesh refinement algorithms for hyperbolic conservation laws and singularly perturbed reaction-diffusion equations, Cartesian grid methods for elliptic and parabolic boundary/interface problems, fast multipole algorithms accelerated boundary integral methods, and composite backward differentiation formulas (CBDFs) for initial value problems. Currently Dr. Ying is working on development of the Cartesian grid method based adaptive mesh refinement for time-dependent problems, applications of the Cartesian method for free boundary and moving interface problems, including fluid-structure interaction problems, as well as parallelization of the algorithms.

- W.-J. Ying and J. T. Beale, A fast accurate boundary integral method for potentials on closely packed cells, Communications in Computational Physics, Vol. 14, No. 4, pp. 1073-1093, 2013
- Houde Han, Zhongyi Huang and W.-J. Ying, A semi-discrete tailored finite point method for a class of anisotropic diffusion problems, Computers and Mathematics with Applications, Vol.65, No. 11, pp. 1760-1774, 2013
- W.-J. Ying and W.-C. Wang, A kernel-free boundary integral method for implicitly defined surfaces, Journal of Computational Physics, Vol. 252, pp. 606-624, 2013
- W.-J. Ying and W.-C. Wang, A kernel-free boundary integral method for variable coefficients elliptic PDEs, Communications in Computational Physics, Vol. 15, No. 4, pp. 1108-1140, 2014
- Houde Han, Min Tang andW.-J. Ying, A tailored finite point method for the discrete ordinates transport equations, Communications in Computational Physics, Vol. 15, No. 3, pp. 797-826, 2014
- W.-J. Ying and C.S. Henriquez, Adaptive mesh refinement and adaptive time integration for electrical wave propagation on the Purkinje system, BioMed Research International (published) doi:10.1155/2015/137482, 2015
- W.-J. Ying, A Cartesian grid-based boundary integral method for an elliptic interface problem on closely packed cells, Journal of Computational Physics (in revision), 2015
- W.-J. Ying, A kernel-free boundary integral method for the nonlinear Poisson-Boltzmann equation, Journal of Computational Physics (in revision), 2015
- J. Thomas Beale, W.-J. Ying and J. R. Wilson, A simple method for computing singular or nearly singular integrals on closed surfaces, Communications in Computational Physics (in Press), 2015
- W. Ying, A multilevel adaptive approach for computational cardiology, Ph.D. Dissertation, Department of Mathematics, Duke University, May 2005
- D.G. Schaeffer, W.-J. Ying and X.-P. Zhao, Asymptotic approximation of an ionic model for cardiac restitution, Nonlinear Dynamics, Vol. 51, No. 1-2, pp. 189-198, 2008
- W.-J. Ying and N. Pourtaheri and C.S. Henriquez, Field stimulation of cells in suspension: use of a hybrid finite element method, Conference Proceedings. Annual International Conference of the IEEE Engineering in Medicine and Biology Society, New York, 2006)
- D.G. Schaeffer, J.W. Cain, D.J. Gauthier, S.S. Kalb, R.A. Oliver, E.G. Tolkacheva, W.-J. Ying and W. Krassowska, An ionically based mapping model with memory for cardiac restitution, Bull. in Math. Bio., Vol. 69, No. 2, pp. 459-482, 2007
- W.-J. Ying and C.S. Henriquez, Hybrid finite element method for describing the electrical response of biological cells to applied fields, IEEE Transactions on Biomedical Engineering, Vol. 54, No. 4, pp. 611-620, 2007
- M.L. Hubbard and W.-J. Ying and C.S. Henriquez, Effect of gap junction distribution on impulse propagation in a monolayer of myocytes: a model study, Europace, Vol. 9 (suppl 6), pp. vi20-vi28, 2007
- W.-J. Ying and C.S. Henriquez, A kernel-free boundary integral method for elliptic boundary value problems, Journal of Computational Physics, Vol. 227, No. 2, pp. 1046-1074, 2007
- W.-J. Ying, D.J. Rose and C.S. Henriquez, Efficient fully implicit time integration methods for modeling cardiac dynamics, IEEE. Trans. Biomed. Engrg., Vol. 55, No. 12, pp. 2701-2711, 2008
- C. S. Henriquez and W.-J. Ying, The bidomain model of cardiac tissue: from microscale to macroscale, Cardiac Bioelectric Therapy, Springer, pp. 401-421, 2009
- N. Pourtaheri, W.-J. Ying, J.M. Kim and C.S. Henriquez, Thresholds for transverse stimulation: fiber bundles in a uniform field, IEEE. Trans. Biomed. Engrg., Vol 17, No. 5, pp. 478-486, 2009
- W.-J. Ying, C.S. Henriquez and D.J. Rose, Composite backward differentiation formula: an extension of the TR-BDF2 scheme, Technical Report, Duke University (submitted to Applied Numerical Mathematics)
- W.-J. Ying, D.J. Rose and C.S. Henriquez, Adaptive mesh refinement and adaptive time integration for electrical wave propagation on the Purkinje system, Technical Report, Duke University