Ave, Burlington, VT 05401
802-656-8539 Fax: 802-656-2552
Mathematical modeling, asymptotic
and numerical analysis of differential equations, hydrodynamic stability,
perturbation theory, biomedical mathematics.
human brain modeling, ocean and sea ice study.
generally teach both undergraduate and graduate courses, including courses for
calculus sequences, numerical analysis, and ordinary and partial differential
equations. Currently, in the Spring of 2014, I am teaching Math 271 A and Math 237 A.
Highlights of Recent Research:
1.) Nonlinear analysis:
Yu, J., Yang, Y. and Campo, A. (2010). Approximate Solution of
the Nonlinear Heat Conduction Equation in a Semi-Infinite Domain. Mathematical
Problems in Engineering, Volume
2010, Article ID 421657, 24 pages. doi:10.1155/2010/421657.
Yang, Y., Gross, L. and Yu, J. (2010). COMPARISON STUDY OF DYNAMICS IN
ONE-SIDED AND TWO-SIDED SOLID-COMBUSTION MODELS. SIAM Journal on Applied Mathematics, Vol.70, No.8, pp.3022-3038.
R. and Yu, J. (2006). Nonlinear Spatial
Evolution of Small Disturbances from Boundary Conditions in flat
Inclined-Channel Flow. Studies in Applied Mathematics 116: 173-200.
Yu, J. and Yang, Y. (2005). Nonlinear Analysis on Transition to form Coherent
Structures. Advances in Engineering Mechanics- Reflections and Outlook: In
Honor of Theodore Y.-T. Wu, (A. T. Chwang, M. H. Teng and D. T. Valentine,
editors, the World Scientific Publishing Company, pp.613-624. ISBN
L. and Yu, J. (2005). Weakly Nonlinear
and Numerical Analyses of Dynamics in a Solid Combustion Model. SIAM Journal
on Applied Mathematics, Vol.65, No.5, pp.1708-1725.
Yu, J., Yang, Y., Liu, A. K. and Zhao, Y. (2009). Analysis
of sea ice motion and deformation in the marginal ice zone of the
Bering Sea using SAR data. International
Journal of Remote Sensing, Vol. 30, No. 14, pp.3603-3611.
Yu, J., Liu, A. K. and Zhao, Y. (2006). Sea Ice Motion and Deformation in the
Marginal Ice Zone through SAR. Accepted for inclusion in a book: Advances in Geosciences 2005, (Hyo Choi, Editor-in-Chief), World Scientific
Yu, J. and Gloersen, P. (2006). Interannual Variations in Pacific SST
Deviations through AVHRR. Accepted for inclusion in a book: Advances in Geosciences 2005, (Hyo Choi, Editor-in-Chief), World Scientific
Yu, J. and Gloersen, P. (2005).Interannual Variations in Global SST Deviations
through SMMR from 1978 to 1987, International Journal of Remote Sensing,
Vol. 26, No. 24,
Yu, J. and Liu, A. K. (2005). Sea Ice Floe Tracking and Motion Analysis for
SAR Imagery in the Marginal Ice Zone. Advances
in Engineering Mechanics- Reflections and Outlook: In Honor of Theodore Y.-T.
Wu, (A. T. Chwang, M. H. Teng and
D. T. Valentine, editors, the World Scientific Publishing Company, pp.681-690.
3.) Collaboration with the Goodrich:
E. and Yu, J. (2005). Algorithm
Development to Ascertain the True Characteristic Impedance of a Wire for Wire
Diagnostics. Presented at the 2005 IEEE Aerospace Conference, Big Sky, Montana,
W.D., Yu, J., and Penar, P. (1999).
Analysis and Validation of a Mathematical Model for Intracranial Pressure
Dynamics. Mathematical and Computer Modeling of Dynamical Systems, V. 5,
No. 1, pp. 55-73.
Last modified May 8, 2012