Spring 2023 teaching schedule:

• MTH4550/6550 - Advanced Linear Algebra, MW 4:40-6:00 in BS 105 (class info on Pilot)
• MTH4820/6820 - Methods in Applied Mathematics, TR 3:30-4:50 in RC 406 (class info on Pilot)

Courses taught:

• Undergraduate:
  WSU: College algebra, Calculus I, II & III, Elementary differential equations, Differential equations with matrix algebra, Writing math proofs, Complex variables, Partial differential equations, Optimization techniques, Advanced linear algebra, Applied mathematics I & II, Continuous dynamical systems;
  WVU: Calculus 1-3 (regular and honors), Elementary differential equations (regular and honors), Introduction to linear algebra, Applied linear algebra, Partial differential equations, Introduction to real analysis 1-2.
• Graduate:
  WSU: Advanced engineering mathematics, Optimization techniques, Advanced linear algebra, Applied mathematics I & II, Continuous dynamical systems;
  WVU: Intermediate differential equations, Linear algebra, Numerical analysis, Real variables 1-2, Theory of partial differential equations 1-2, Introduction to optimization, Numerical optimization, Matrix computations, Computational methods for inverse problems, PDE approach to image processing.

Student advising:

• Advised undergraduate math majors and graduate students; Supervised capstone senior projects and reading courses for undergraduate students; Supervised independent studies on advanced topics for graduate students; Served on Masters and PhD committees; Directed PhD dissertations; Mentored graduate students and teaching assistants

• Applied and computational mathematics, Inverse problems, Partial differential equations and applications, Analysis of mathematical models for semiconductors

• W. Fang, "Simultaneous recovery of Robin boundary and coefficient for the Laplace equation by shape derivative," J. Comput. Appl. Math., 413(2022), 114376.
• W. Fang and F. Lin, "Numerical solutions to the Robin inverse problem with nonnegativity constraints," J. Appl. Math. Phys., 10(2022), pp 2015-2025. 
• W. Fang, F. Lin, and Y. Ma, "Fast algorithms for boundary integral equations on elliptic domains and related inverse problems," East Asian J. Appl. Math., 9(2019), pp 485-505. 
• W. Fang, "Modeling of electrical capacitance tomography with the use of complete electrode model," Meas. Sci. Technol., 27(2016), 105401(10pp). 
• W. Fang and S. Zeng, "Recovery of an interface from boundary measurement in an elliptic differential equation," Adv. Comput. Math., 36(2012), pp 201-220. 
• W. Fang and S. Zeng, "Numerical recovery of Robin boundary from boundary measurements for the Laplace equation," J. Comput. Appl. Math., 224(2009), pp 573-580. 
• W. Fang and S. Zeng, "A direct solution for the Robin inverse problem," J. Integral Equations Appl., 21(2009), pp 545-557. 
• W. Fang, "Multi-phase permittivity reconstruction in electrical capacitance tomography by level-set methods," Inv. Prob. Sci. Engng., 15(2007), pp 213-247. 
• W. Fang, K. Ito, and D. A. Redfern, "A homogenization model for laser beam induced current imaging and detection of non-uniformities in semiconductor arrays," J. Comput. Appl. Math., 194(2006), pp 395-408. 
• W. Fang, "Reconstruction of permittivity profile from boundary capacitance data," Appl. Math. Comput., 177(2006), pp 178-188. 
• W. Fang and F. Lin, "A linear integral equation approach to the Robin inverse problem," Inverse Problems, 21(2005), pp 1757-1772. 
• D. A. Redfern, W. Fang, K. Ito, G. Bahir, C. A. Musca, J. M. Dell, and L. Faraone, "Investigation of laser beam induced current techniques for heterojunction photodiode characterization," J. Appl. Phys., 98(2005), 034501(9 pages). 
• W. Fang and E. Cumberbatch, "Matrix properties of data from electrical capacitance tomography," J. Engng. Math., 51(2005), pp 127-146.
• W. Fang, "A nonlinear image reconstruction algorithm for electrical capacitance tomography," Meas. Sci. Technol., 15(2004), pp 2124-2132. 
• W. Fang, K. Ito, and D. A. Redfern, "LBIC imaging of semiconductor arrays: the cross-sectional model," Math. Comput. Modelling, 40(2004), pp 127-136. 
• W. Fang, Y. Wang, and Y. Xu, "An implementation of fast wavelet Galerkin methods for integral equations of the second kind," J. Sci. Comput., 20(2004), pp 277-320. 
• W. Fang and M. Lu, "A fast collocation method for an inverse boundary value problem," Int. J. Numer. Meth. Engng., 59(2004), pp 1563-1585. 
• D. A. Redfern, W. Fang, K. Ito, C. A. Musca, J. M. Dell, and L. Faraone, "Low temperature saturation of p-n junction laser beam induced current signals," Solid-State Electronics, 48(2004), pp 409-414. 
• W. Fang and K. Ito, "Identification of contact regions in semiconductor transistors by level set methods," J. Comput. Appl. Math., 159(2003), pp 399-410. 
• W. Fang, F. Ma, and Y. Xu, "Multi-level iteration methods for solving integral equations of the second kind," J. Integral Equations Appl., 14(2002), pp 355-376.
• W. Fang and K. Ito, "Nonhomogeneous initial-boundary value problems for nonlinear diffusion-convection equations," Nonlinear Anal., 48(2002), pp 303-322. 
• W. Fang, K. Ito, and D. A. Redfern, "Parameter identification for semiconductor diodes by LBIC imaging," SIAM J. Appl. Math., 66(2002), pp 2149-2174. 
• W. Fang and K. Ito, "Existence of stationary solutions to an energy drift-diffusion model for semiconductor devices," Math. Models Methods Appl. Sci., 11(2001), pp 827-840.
• W. Fang and K. Ito, "Existence and uniqueness of steady-state solutions to an electrochemistry system," Proc. Amer. Math. Soc., 129(2001), pp 1037-1040. 
• W. Fang and K. Ito, "An electrochemistry model with nonlinear diffusion: steady-state solutions," IMA J. Appl. Math., 66(2001), pp 195-213.
• U. Elias, W. Fang, and H. Gingold, "Differential equations with varying nonlinearity and singular perturbations," Int. J. Diff. Eq. Appl., 3(2001), pp 387-400.
• D. A. Redfern, W. Fang, C. A. Musca, J. M. Dell, and L. Faraone, "Towards a laser beam induced current test structure for nondestructive determination of junction depth in HgCdTe photodiodes," in Proc. Conf. on Optoelectronic and Microelectronic Materials and Devices, Melbourne, Australia, December 2000, pp 169-172.
• W. Fang and K. Ito, "Weak solutions for diffusion-convection equations," Appl. Math. Lett., 13(2000), pp 69-75.
• W. Fang and H. Gingold, "Solutions of a nonlinear boundary value problem with a large parameter," J. Math. Anal. Appl., 236(1999), pp 520-533.
• W. Fang and K. Ito, "Solutions to a nonlinear drift-diffusion model of semiconductors," Electronic J. Differential Equations, 1999(1999), No.15, pp 1-38. 
• W. Fang and K. Ito, "Weak solutions to a one-dimensional hydrodynamic model of two carrier types for semiconductors," Nonlinear Anal., 28(1997), pp 947-963. 
• W. Fang and K. Ito, "Steady-state solutions to a one-dimensional hydrodynamic model for semiconductors," J. Differential Equations, 133(1997), pp 224-244.
• W. Fang and K. Ito, "On the inhomogeneous system of isentropic gas dynamics by viscosity method," Proc. Royal Soc. Edinburgh, 127A(1997), pp 261-280.
• E. Cumberbatch and W. Fang, "Explicit solutions for LBIC signals in semiconductors by asymptotic method," European J. Appl. Math., 7(1996), pp 383-393.
• W. Fang and K. Ito, "Energy estimates for a one-dimensional hydrodynamic model of semiconductors," Appl. Math. Lett., 9(4)(1996), pp 65-70.
• W. Fang and K. Ito, "On the stationary semiconductor equations arising in modeling of LBIC technique," Appl. Math. Optim., 33(1996), pp 189-202.
• W. Fang and K. Ito, "One-dimensional hydrodynamic model for semiconductors by viscosity method," in "Differential Equations and Applications to Biology and to Industry," M. Martelli, K. Cooke, E. Cumberbatch, B. Tang, and H. Thieme, eds., World Scientific, 1996, pp 91-99.
• W. Fang and K. Ito, "Asymptotic behavior of the drift-diffusion semiconductor equations," J. Differential Equations, 123(1995), pp 567-587.
• W. Fang and K. Ito, "Global solutions to the time-dependent drift-diffusion semiconductor equations," J. Differential Equations, 123(1995), pp 523-566.
• W. Fang and K. Ito, "On the time-dependent drift-diffusion model for semiconductors," J. Differential Equations, 117(1995), pp 245-280.
• W. Fang and K. Ito, "Reconstruction of semiconductor doping profile from LBIC image," SIAM J. Appl. Math., 54(1994), pp 1067-1082.
• W. Fang, "Analysis of contact resistivity for multilevel transistors," J. Math. Anal. Appl., 176(1993), pp 594-607.
• S. Busenberg, W. Fang, and K. Ito, "Modeling and analysis for laser beam induced current images in semiconductors," SIAM J. Appl. Math., 53(1993), pp 187-204.
• H. T. Banks, W. Fang, R. J. Silcox, and R. C. Smith, "Approximation methods for control of structural acoustic models with piezoceramic actuators," J. Intelligent Material Systems and Structure, 4(1993), pp 98-116.
• W. Fang and K. Ito, "Identifiability of semiconductor defects from LBIC images," SIAM J. Appl. Math., 52(1992), pp 1611-1626.
• W. Fang and E. Cumberbatch, "Inverse problems for MOSFET contact resistivity," SIAM J. Appl. Math., 52(1992), pp 699-709.
• H. T. Banks, W. Fang, and R. C. Smith, "Active noise control: piezoceramic actuators in fluid/structure interaction models," Proc. 30th IEEE Conf. on Decision and Control, Brighton, UK, December 1991, pp 2328-2333.
• H. T. Banks, W. Fang, and R. J. Silcox, "Active control of noise: A time domain approach," in Proc. Conf. on Recent Advances in Active Control of Sound and Vibration, April 1991, pp S43-47.
• S. Busenberg and W. Fang, "Identification of semiconductor contact resistivity," Quart. Appl. Math., 49(1991), pp 639-649.
• W. Fang, M. Shillor, E. Stahel, E. Epstein, C. Li, J. McNiel, and E. Zaron, "A mathematical model for outgassing and contamination," SIAM J. Appl. Math., 51(1991), pp 1327-1355.
• S. Busenberg, W. Fang, and M. Shillor, "Analysis of a diffusion-convection system modeling a contamination problem," Appl. Anal., 39(1990), pp 165-183.
• W. Fang, "Boundary value problems for systems of second-order partial differential equations with zero characteristic polynomial," J. South China Inst. Tech., 15(1987), No.2, pp 68-78.
• W. Fang, "A problem for systems of second-order partial differential equations with constant coefficients," J. South China Inst. Tech., 13(1985), No.2, pp 109-122.

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