Wenjun Ying,  Assistant Professor

     Office Location:  206 Fisher Hall
     Office Phone:   (906) 487-1031
     Email Address:   wjying at mtu dot edu
     Web Page:  http://www.math.mtu.edu/~wjying

EDUCATION:

• Ph. D.  Mathematics, Duke University (May, 2005)

  Thesis title:  A multilevel adaptive approach for computational cardiology [PDF]
  Thesis advisor:  Professor John Trangenstein

• M. S.  Computational Mathematics, Tsinghua University (June, 2000)

  Thesis title:  The MAC scheme and related finite element methods for nearly incompressible elasticity
  Thesis advisor:  Professor Houde Han

• B. S.  Applied Mathematics, Tsinghua University (June, 1997)

  Thesis title:  On artificial boundary conditions for potential flows

  Thesis advisor:  Professor Houde Han

• NSF Award DMS-0915023 (PI), $183,444.00, Aug 2009 - Jul 2012.

• Outstanding Research Award (junior level), Math Dept., Michigan Tech, 2008-2009.

• L. P. and Barbara Smith Award for Teaching Excellence, Math Dept., Duke University, 2004-2005.

• Spring 2010 -- MA5524, Functional Analysis
  125 Fisher Hall, MWF 16:05 -- 16:55
  Office Hours:  MW 2:00 -- 4:00 PM and by appointment
  Course Syllabus:  [PDF]

• Spring 2010 -- MA3520, Elem Differential Equations
  139 Fisher Hall, MW 10:05 -- 10:55 PM
  Office Hours:  MW 2:00 -- 4:00 PM and by appointment
  Course Syllabus:  [PDF]

• Fall 2009 -- MA5629, Numerical PDEs
  327B Fisher Hall, MWF 4:05 -- 4:55 PM
  Office Hours:  MW 2:00 -- 4:00 PM and by appointment
  Course Syllabus:  [PDF]

• Fall 2008 -- MA4620, Finite Difference Methods for PDEs
  104A Chemical Sciences and Engineering Building, MWF 2:05 -- 2:55 PM
  Office Hours:  MW 3:00 -- 5:00 PM and by appointment
  Course Syllabus:  [PDF]

• The general areas of my 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. My current specific research interests are focused on adaptive and multiscale algorithms for modeling cardiac dynamics. A few other numerical methods (other than those covered by my thesis work) that I have made intensive studies are Cartesian grid methods for elliptic boundary/interface problems, boundary integral methods accelerated by fast multipole algorithms, and composite backward differentiation formulas (CBDFs) for initial value problems.

• Linearized gas dynamics (1D)
• Shallow-water equations (1D)

• Linearized gas dynamics (2D)
• Shallow-water equations (2D)

• Compressible Euler equations (1D)
• Compressible Euler equations (2D)

• Supersonic flow around cylinders (2D)
• A mach 3 wind tunnel with a step (2D)
• Oblique shock reflection with AMR (2D)

• Upwind scheme for Burgers' equation with AMR (1D)
• Upwind scheme for Burgers' equation with AMR (2D)
• Upwind scheme for Burgers' equation with AMR (3D)

• One-dimensional reaction-diffusion problems with AMR
• Two-dimensional reaction-diffusion problems with AMR
• Three-dimensional reaction-diffusion problems with AMR

• Rotationally anisotropic bidomain model with AMR (2D)
• Bidomain Luo-Rudy phase one model with AMR (2D)

• FitzHugh-Nagumo problem with AMR (1D)
• FitzHugh-Nagumo problem with AMR (2D)
• FitzHugh-Nagumo problem with AMR (3D)

• Spiral waves around obstacles with AMR (2D) (data)
• Spiral waves around obstacles with AMR (2D) (grids)

To view the following 3D animations, it is better to download them first and then open
with a media player such as "QuickTime Player" due to the large size of the files.

• Electrical wave propagation in a virtual ventricle with AMR (3D) (action potential)
• Electrical wave propagation in a virtual ventricle with AMR (3D) (colormapped surface grids) 

• Electrical wave propagation in the heart with AMR (3D) (action potential)
• Electrical wave propagation in the heart with AMR (3D) (volume grids and iso-surface)
• Electrical wave propagation in the heart with AMR (3D) (colormapped surface grids)
• Electrical wave propagation in the heart with AMR (3D) (surface grids and isolines)

• W. Ying, A multilevel adaptive approach for computational cardiology, Ph.D. Dissertation, Department  of Mathematics, Duke University, May 2005 ([PDF]).

• 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 ([DOI]).

• 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 ([DOI]).

• 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 ([DOI]).

• 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 ([DOI]).

• 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 ([DOI]).

• 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 ([PDF]) ([DOI]).

• 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. ([PDF]).

• 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) ([PDF]).

• N. Pourtaheri, W.-J. Ying, J.M. Kim and C.S. Henriquez, Local electric field perturbations around excitable fibers: effect on stimulation thresholds, Technical Report, Duke University (accepted for publication in IEEE. Trans. Biomed. Engrg. ).

• 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 ([PDF]).

• 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.