Assistant Professor

Department of Mathematics and Statistics

Mississippi State, MS, 39762, USA

Office: Allen 438

Phone: 662-325-7151

E-mail: yliu@math.msstate.edu

Education

Research interests

High Order Numerical Methods for PDEs using:

Discontinuous Galerkin (DG) methods

Computational Biology

Zebrafish dorsal-ventral patterning

Tumor growth problem

Blood Vessel formation : Cellular Potts model (CPM) and its continuous limit

Publication

- Y. Liu, C.-W. Shu, and M.P. Zhang, Strong stability preserving property of the deferred correction time discretization, Journal of Computational Mathematics, 26 (2008), no. 5, pp.633-656.
- W. Hao, J.D. Hauenstein, B. Hu, Y. Liu, A.J. Sommese and Y.-T. Zhang, Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning, Discrete and Continuous Dynamical Systems - Series S, V4(6), (2011), pp. 1413-1428.
- W. Hao, J.D. Hauenstein, B. Hu, Y. Liu, A.J. Sommese and Y.-T. Zhang, Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core, Nonlinear Analysis Series B : Real World Applications, V13(2), (2012), pp. 694-709.
- W. Hao, J.D. Hauenstein, B. Hu, Y. Liu, A.J. Sommese and Y.-T. Zhang, Continuation along bifurcation branches for a tumor model with a necrotic core, Journal of Scientific Computing, V53, (2012), pp. 395-413.
- Y. Liu and Y.-T. Zhang, A robust reconstruction for unstructured WENO schemes, Journal of Scientific Computing, V54, (2013), pp. 603-621.
- A. Christlieb, Y. Liu, Q. Tang and Z. Xu, High order parametrized maximum-principle-preserving and positivity-preserving WENO schemes on unstructured meshes , v281, (2015), pp.334-351.
- A. Christlieb, Y. Liu and Z. Xu, High order operator splitting methods based on an integral deferred correction framework, submitted, 2013.
- A. Christlieb, Y. Liu, Q. Tang and Z. Xu, Positivity-preserving WENO schemes with constrained transport for ideal magnetohydrodynamic equations , under revision, 2014.
- L. Yuan, Y. Liu, S. Luo and J. Qian, High order WENO sweeping schemes for higher order geometrical optics based on Babich's formula , preprint.
- Y. Liu, Y.-T. Zhang, S. Newman and M. Alber, Pattern solutions of a nonlinear reaction-diffusion model of chemotactic movements, preprint.