• 524 Citations
  • 13 h-Index
20092020

Research output per year

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Research Output

  • 524 Citations
  • 13 h-Index
  • 44 Article
  • 1 Conference contribution
2020

A Homotopy Method with Adaptive Basis Selection for Computing Multiple Solutions of Differential Equations

Hao, W., Hesthaven, J., Lin, G. & Zheng, B., Jan 1 2020, In : Journal of Scientific Computing. 82, 1, 19.

Research output: Contribution to journalArticle

A machine learning method correlating pulse pressure wave data with pregnancy

Chen, J., Huang, H., Hao, W. & Xu, J., Jan 1 2020, In : International Journal for Numerical Methods in Biomedical Engineering. 36, 1, e3272.

Research output: Contribution to journalArticle

1 Scopus citations

An Adaptive Homotopy Method for Computing Bifurcations of Nonlinear Parametric Systems

Hao, W. & Zheng, C., Mar 1 2020, In : Journal of Scientific Computing. 82, 3, 53.

Research output: Contribution to journalArticle

Spatial pattern formation in reaction–diffusion models: a computational approach

Hao, W. & Xue, C., Jan 1 2020, (Accepted/In press) In : Journal of Mathematical Biology.

Research output: Contribution to journalArticle

2019
Open Access

Computational Causal Modeling of the Dynamic Biomarker Cascade in Alzheimer's Disease

Petrella, J. R., Hao, W., Rao, A., Doraiswamy, P. M. & Li, S., Jan 1 2019, In : Computational and Mathematical Methods in Medicine. 2019, 6216530.

Research output: Contribution to journalArticle

Open Access
3 Scopus citations
2018

A Homotopy Method for Parameter Estimation of Nonlinear Differential Equations with Multiple Optima

Hao, W., Mar 1 2018, In : Journal of Scientific Computing. 74, 3, p. 1314-1324 11 p.

Research output: Contribution to journalArticle

1 Scopus citations
3 Scopus citations

Convergence of boundary integral method for a free boundary system

Hao, W., Hu, B., Li, S. & Song, L., May 15 2018, In : Journal of Computational and Applied Mathematics. 334, p. 128-157 30 p.

Research output: Contribution to journalArticle

2 Scopus citations

The Role of Exosomes in Pancreatic Cancer Microenvironment

Friedman, A. & Hao, W., May 1 2018, In : Bulletin of Mathematical Biology. 80, 5, p. 1111-1133 23 p.

Research output: Contribution to journalArticle

13 Scopus citations

Two-level spectral methods for nonlinear elliptic equations with multiple solutions\ast

Wang, Y., Hao, W. & Lin, G., Jan 1 2018, In : SIAM Journal on Scientific Computing. 40, 4, p. B1180-B1205

Research output: Contribution to journalArticle

1 Scopus citations
2017

Algorithm 976: Bertini-real: Numerical decomposition of real algebraic curves and surfaces

Brake, D. A., Bates, D. J., Hao, W., Hauenstein, J. D., Sommese, A. J. & Wampler, C. W., Jul 2017, In : ACM Transactions on Mathematical Software. 44, 1, 10.

Research output: Contribution to journalArticle

5 Scopus citations

A mathematical model of aortic aneurysm formation

Hao, W., Gong, S., Wu, S., Xu, J., Go, M. R., Friedman, A. & Zhu, D., Feb 2017, In : PloS one. 12, 2, e0170807.

Research output: Contribution to journalArticle

6 Scopus citations

Dimorphism by Singularity Theory in a Model for River Ecology

Golubitsky, M., Hao, W., Lam, K. Y. & Lou, Y., May 1 2017, In : Bulletin of Mathematical Biology. 79, 5, p. 1051-1069 19 p.

Research output: Contribution to journalArticle

Mathematical modeling of liver fibrosis

Friedman, A. & Hao, W., Feb 2017, In : Mathematical Biosciences and Engineering. 14, 1, p. 143-164 22 p.

Research output: Contribution to journalArticle

9 Scopus citations

Mathematical model of chronic pancreatitis

Hao, W., Komar, H. M., Hart, P. A., Conwell, D. L., Lesinski, G. B. & Friedman, A., May 9 2017, In : Proceedings of the National Academy of Sciences of the United States of America. 114, 19, p. 5011-5016 6 p.

Research output: Contribution to journalArticle

8 Scopus citations
2016

Mathematical model on Alzheimer's disease

Hao, W. & Friedman, A., Nov 18 2016, In : BMC systems biology. 10, 1, 108.

Research output: Contribution to journalArticle

19 Scopus citations

Modeling granulomas in response to infection in the lung

Hao, W., Schlesinger, L. S. & Friedman, A., Mar 2016, In : PloS one. 11, 3, e0148738.

Research output: Contribution to journalArticle

16 Scopus citations

Serum uPAR as biomarker in breast cancer recurrence: A mathematical model

Hao, W. & Friedman, A., Apr 2016, In : PloS one. 11, 4, e0153508.

Research output: Contribution to journalArticle

8 Scopus citations
2015

A fictitious domain method with a hybrid cell model for simulating motion of cells in fluid flow

Hao, W., Xu, Z., Liu, C. & Lin, G., Jan 1 2015, In : Journal of Computational Physics. 280, p. 345-362 18 p.

Research output: Contribution to journalArticle

4 Scopus citations

A free boundary problem for steady small plaques in the artery and their stability

Friedman, A., Hao, W. & Hu, B., Aug 15 2015, In : Journal of Differential Equations. 259, 4, p. 1227-1255 29 p.

Research output: Contribution to journalArticle

6 Scopus citations

A Mathematical Model of Atherosclerosis with Reverse Cholesterol Transport and Associated Risk Factors

Friedman, A. & Hao, W., May 30 2015, In : Bulletin of Mathematical Biology. 77, 5, p. 758-781 24 p.

Research output: Contribution to journalArticle

25 Scopus citations

A mathematical model of idiopathic pulmonary fibrosis

Hao, W., Marsh, C. & Friedman, A., Sep 8 2015, In : PloS one. 10, 9, e0135097.

Research output: Contribution to journalArticle

13 Scopus citations

A mathematical model of pre-diagnostic glioma growth

Sturrock, M., Hao, W., Schwartzbaum, J. & Rempala, G. A., Sep 7 2015, In : Journal of Theoretical Biology. 380, p. 299-308 10 p.

Research output: Contribution to journalArticle

6 Scopus citations

Counting solutions of the Bethe equations of the quantum group invariant open XXZ chain at roots of unity

Gainutdinov, A. M., Hao, W., Nepomechie, R. I. & Sommese, A. J., Nov 18 2015, In : Journal of Physics A: Mathematical and Theoretical. 48, 49, 494003.

Research output: Contribution to journalArticle

9 Scopus citations

Vibrations of thin plates with small clamped patches

Lindsay, A. E., Hao, W. & Sommese, A. J., Dec 8 2015, In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 471, 2184, 20150474.

Research output: Contribution to journalArticle

6 Scopus citations
2014

A bootstrapping approach for computing multiple solutions of differential equations

Hao, W., Hauenstein, J. D., Hu, B. & Sommese, A. J., Jan 1 2014, In : Journal of Computational and Applied Mathematics. 258, p. 181-190 10 p.

Research output: Contribution to journalArticle

11 Scopus citations

Bertini-real: Software for one- and two-dimensional real algebraic sets

Brake, D. A., Bates, D. J., Hao, W., Hauenstein, J. D., Sommese, A. J. & Wampler, C., Jan 1 2014, Mathematical Software, ICMS 2014 - 4th International Congress, Proceedings. Springer Verlag, p. 175-182 8 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 8592 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Scopus citations

Mathematical model of renal interstitial fibrosis

Hao, W., Rovin, B. H. & Friedman, A., Sep 30 2014, In : Proceedings of the National Academy of Sciences of the United States of America. 111, 39, p. 14193-14198 6 p.

Research output: Contribution to journalArticle

24 Scopus citations

Mathematical model of sarcoidosis

Hao, W., Crouser, E. D. & Friedman, A., Nov 11 2014, In : Proceedings of the National Academy of Sciences of the United States of America. 111, 45, p. 16065-16070 6 p.

Research output: Contribution to journalArticle

27 Scopus citations

Numerical algebraic geometry and differential equations

Hao, W., Hu, B. & Sommese, A. J., Jan 1 2014, In : Springer Proceedings in Mathematics and Statistics. 84, p. 39-53 15 p.

Research output: Contribution to journalArticle

4 Scopus citations

Singular solutions, repeated roots and completeness for higher-spin chains

Hao, W., Nepomechie, R. I. & Sommese, A. J., Mar 2014, In : Journal of Statistical Mechanics: Theory and Experiment. 2014, 3, P03024.

Research output: Contribution to journalArticle

20 Scopus citations

The LDL-HDL profile determines the risk of atherosclerosis: A mathematical model

Hao, W. & Friedman, A., Mar 12 2014, In : PloS one. 9, 3, e90497.

Research output: Contribution to journalArticle

67 Scopus citations
2013

A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws

Hao, W., Hauenstein, J. D., Shu, C. W., Sommese, A. J., Xu, Z. & Zhang, Y. T., Oct 1 2013, In : Journal of Computational Physics. 250, p. 332-346 15 p.

Research output: Contribution to journalArticle

21 Scopus citations

Algorithm 931: An algorithm and software for computing multiplicity structures at zeros of nonlinear systems

Hao, W., Sommese, A. J. & Zeng, Z., Oct 21 2013, In : ACM Transactions on Mathematical Software. 40, 1, 5.

Research output: Contribution to journalArticle

10 Scopus citations

Cell cycle control and bifurcation for a free boundary problem modeling tissue growth

Hao, W., Hu, B. & Sommese, A. J., Aug 1 2013, In : Journal of Scientific Computing. 56, 2, p. 350-365 16 p.

Research output: Contribution to journalArticle

9 Scopus citations

Completeness of solutions of Bethe's equations

Hao, W., Nepomechie, R. I. & Sommese, A. J., Nov 11 2013, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 88, 5, 052113.

Research output: Contribution to journalArticle

39 Scopus citations

Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation

Hao, W., Hauenstein, J. D., Hu, B., McCoy, T. & Sommese, A. J., Jan 1 2013, In : Journal of Computational and Applied Mathematics. 237, 1, p. 326-334 9 p.

Research output: Contribution to journalArticle

19 Scopus citations

Domain decomposition schemes with high-order accuracy and unconditional stability

Hao, W. & Zhu, S., Jan 31 2013, In : Applied Mathematics and Computation. 219, 11, p. 6170-6181 12 p.

Research output: Contribution to journalArticle

2 Scopus citations
2012

Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core

Hao, W., Hauenstein, J. D., Hu, B., Liu, Y., Sommese, A. J. & Zhang, Y. T., Apr 1 2012, In : Nonlinear Analysis: Real World Applications. 13, 2, p. 694-709 16 p.

Research output: Contribution to journalArticle

37 Scopus citations

Continuation along bifurcation branches for a tumor model with a necrotic core

Hao, W., Hauenstein, J. D., Hu, B., Liu, Y., Sommese, A. J. & Zhang, Y. T., Nov 1 2012, In : Journal of Scientific Computing. 53, 2, p. 395-413 19 p.

Research output: Contribution to journalArticle

26 Scopus citations
2011

A three-dimensional steady-state tumor system

Hao, W., Hauenstein, J. D., Hu, B. & Sommese, A. J., Nov 15 2011, In : Applied Mathematics and Computation. 218, 6, p. 2661-2669 9 p.

Research output: Contribution to journalArticle

21 Scopus citations

Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning

Hao, W., Hauenstein, J. D., Hu, B., Liu, Y., Sommese, A. J. & Zhang, Y. T., Dec 1 2011, In : Discrete and Continuous Dynamical Systems - Series S. 4, 6, p. 1413-1428 16 p.

Research output: Contribution to journalArticle

7 Scopus citations
2009

An algorithmic approach to finding factorial designs with generalized minimum aberration

Sun, F., Liu, M. Q. & Hao, W., Feb 2009, In : Journal of Complexity. 25, 1, p. 75-84 10 p.

Research output: Contribution to journalArticle

4 Scopus citations

Parallel iterative methods for parabolic equations

Hao, W. & Zhu, S., Mar 1 2009, In : International Journal of Computer Mathematics. 86, 3, p. 431-440 10 p.

Research output: Contribution to journalArticle

3 Scopus citations