Google scholar profile

Preprints

  1. W. Hao, G. Lin, Z. Xu, A. J. Sommese and M. Alber, Effect of fitted reaction rates on predicting thrombin production using blood coagulation model, Submitted, (2012). [pdf]
  2. W. Hao, J. D. Hauenstein, C.-W. Shu, A. J. Sommese, Z. Xu and Y.-T. Zhang, A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws, Submitted, (2012). [pdf]
  3. W. Hao, J. D. Hauenstein, B. Hu and A. J. Sommese, A domain decomposition algorithm for computing multiple steady states of differential equations, In revision, (2011). [pdf]

Publications in Journals

  1. W. Hao, B. Hu and A. J. Sommese, Cell cycle control and bifurcation for a free boundary problem modeling tissue growth, Journal of Scientific Computing, to appear, (2012). [pdf, Computational page]
  2. W. Hao, A. J. Sommese and Z. Zeng, An algorithm and software for computing multiplicity structures at zeros of nonlinear systems, ACM Transactions on Mathematical Software, to appear, (2012). [pdf, MULTIPLICITY]
  3. W. Hao and S. Zhu, A domain decomposition finite difference scheme with third-order accuracy and unconditional stability, Applied Mathematics and Computation, to appear, (2012). [pdf]
  4. W. Hao, J. D. Hauenstein, B. Hu, T. McCoy and A. J. Sommese, Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation, Journal of Computational and Applied Mathematics, Volume 237, Issue 1, pp. 326-334, (2013). [pdf]
  5. 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, Volume 53, Issue 2, pp. 395-413, (2012). [pdf]
  6. 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, Volume 13, Issue 2, pp. 694-709, (2012). [pdf]
  7. W. Hao, J. D. Hauenstein, B. Hu and A. J. Sommese, A three-dimensional steady-state tumor system, Applied Mathematics and Computation, Volume 218, Issue 6, pp. 2661-2669, (2011). [pdf]
  8. 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, Volume 4, Number 6, pp. 1413-1428, (2011). [pdf]
  9. F. Sun, M.-Q. Liu and W. Hao, An algorithmic approach to finding factorial designs with generalized minimum aberration, Journal of Complexity, Volume 25, Issue 1, pp. 75-84, (2009). [pdf]
  10. W. Hao and S. Zhu, Parallel iterative methods for parabolic equations, International Journal of Computer Mathematics, Volume 86, Issue 3, pp. 431-440, (2009). [pdf]
  11. W. Hao and C. Liu, A high degree freedom mathematical model for the biped robot with the gait control, Mechanic in Engineering, Volume 28, No.6, pp. 69-72, (2006).

Publications in Conference Proceedings and Book Chapters

  1. W. Hao and C. Liu, High-order parallel iterative methods for the heat equation, Proceeding of the 2010 International Conference on Scientific Computing, pp.243-250, (2010).
  2. W. Hao, B. Hu and A. J. Sommese, Numerical Algebraic Geometry and Differential Equations, Future Vision and Trends on Shapes, Geometry and Algebra, (2013).