My Chinese name is §dÄRÄå (Wu, Lih-Ing).
Here is my
curriculum vitae.
Research papers that are submitted and under review:
L.-I. Wu Roeger. Exact finite-difference method for second-order linear equations with constant coefficients.
C. P. Bhunu, W. Garira, S. Mushayabasa, J. M. Tchuenche, L.-I. Wu Roeger,
Tuberculosis transmission model incorporating case detection and treatment
strategy.
Research papers that are published or accepted:
L.-I. Wu Roeger. Dynamically consistent finite difference schemes for
the differential equation $dy/dt=b_ny^n+b_{n-1}y^{n-1}+\cdots+b_1 y+b_0$. To
appear in the Journal of Difference Equations and Applications.
L.-I. Wu Roeger. and R. Gelca. Dynamically consistent discrete-time
Lotka-Volterra competition models. Discrete and Continuous Dynamical
Systems, Dedicated to the 7th AIMS Conference, Arlington, TX. Edited by
X. Hou, X. Lu, A. Miranville, J. Su, and J. Zhu. Supplement 2009:
650-658, 2009.
S.-B. Hsu and L.-I. Wu Roeger. Heteroclinic cycles in the chemostat
models and the winnerless competition principle. J. Math. Anal. Appl.,
360: 599-608, 2009.
L.-I. Wu Roeger, Z. Feng, and C. Castillo-Chavez. Modelling TB and HIV
Coinfections. Mathematical Biosciences and Engineering, 6:
817-839, 2009.
J. A. D. Appleby, A. Rodkina, and L.-I. Wu Roeger. Stability of a limit cycle for a planar system with stochastic perturbations.
Functional Differential Equations, 16: 73-91, 2009.
W. Hernandez-Padilla and L.-I. Wu Roeger. Local
stability of a discrete competition model derived from a nonstandard
numerical method. Advanced Studies in Pure Mathematics, ICDEA2006, 53:
295-302, 2009.
L.-I. Wu Roeger. General nonstandard finite-difference schemes for
differential equations with three fixed-points. Computers and Mathematics with Applications,
57: 379-383, 2009.
L.-I. Wu Roeger. Nonstandard finite difference schemes for differential
equations with n+1 distinct fixed-points. Journal of Difference Equations and Applications,
15: 133-151, 2009.
L.-I. Wu Roeger. Exact finite-difference schemes for two-dimensional linear
systems with constant coefficients. Journal of Computational and Applied Mathematics,219: 102-109, 2008.
L.-I. Wu Roeger. Periodic solutions preserved by nonstandard finite-difference schemes for Lotka-Volterra system: a different approach.
Journal of Difference Equations and Applications, 14: 481-493, 2008.
L.-I. Wu Roeger. Exact nonstandard finite-difference methods for a linear system---the case of centers.
Journal of Difference Equations and Applications, 14: 381-389, 2008.
L.-I. Wu Roeger and R. E. Mickens. Exact finite-difference schemes for first order differential equations having three fixed points.
Journal of Difference Equations and Applications, 13: 1179-1185, 2007.
L.-I. Wu Roeger and R. W. Barnard.
Preservation of local dynamics when applying central difference
methods: application to SIR model. Journal of
Difference Equations and Applications, 13: 333-340, 2007.