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Hao, Wenrui

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Author ID: hao.wenrui Recent zbMATH articles by "Hao, Wenrui"
Published as: Hao, Wenrui; Hao, W.
External Links: MGP
Documents Indexed: 45 Publications since 2009

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 249 times in 148 Documents Cited by Year
Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core. Zbl 1238.35193
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
30
2012
Continuation along bifurcation branches for a tumor model with a necrotic core. Zbl 1328.92032
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
21
2012
Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1303.92044
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; McCoy, Timothy; Sommese, Andrew J.
16
2013
A three-dimensional steady-state tumor system. Zbl 1238.92019
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
16
2011
A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. Zbl 1349.65558
Hao, Wenrui; Hauenstein, Jonathan D.; Shu, Chi-Wang; Sommese, Andrew J.; Xu, Zhiliang; Zhang, Yong-Tao
16
2013
A mathematical model of atherosclerosis with reverse cholesterol transport and associated risk factors. Zbl 1334.92198
Friedman, Avner; Hao, Wenrui
15
2015
Mathematical model of sarcoidosis. Zbl 1355.92049
Hao, Wenrui; Crouser, Elliott D.; Friedman, Avner
14
2014
Bertini_real: software for one- and two-dimensional real algebraic sets. Zbl 1437.14005
Brake, Daniel A.; Bates, Daniel J.; Hao, Wenrui; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
13
2014
A bootstrapping approach for computing multiple solutions of differential equations. Zbl 1294.65085
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
12
2014
Counting solutions of the Bethe equations of the quantum group invariant open XXZ chain at roots of unity. Zbl 1341.82022
Gainutdinov, Azat M.; Hao, Wenrui; Nepomechie, Rafael I.; Sommese, Andrew J.
9
2015
A free boundary problem for steady small plaques in the artery and their stability. Zbl 1322.35181
Friedman, Avner; Hao, Wenrui; Hu, Bei
7
2015
Algorithm 931, an algorithm and software for computing multiplicity structures at zeros of nonlinear systems. Zbl 1295.65058
Hao, Wenrui; Sommese, Andrew J.; Zeng, Zhonggang
7
2013
Efficient sampling methods for global reliability sensitivity analysis. Zbl 1307.62244
Wei, Pengfei; Lu, Zhenzhou; Hao, Wenrui; Feng, Jun; Wang, Bintuan
7
2012
Cell cycle control and bifurcation for a free boundary problem modeling tissue growth. Zbl 1271.92012
Hao, Wenrui; Hu, Bei; Sommese, Andrew J.
6
2013
Convergence of boundary integral method for a free boundary system. Zbl 1386.35492
Hao, Wenrui; Hu, Bei; Li, Shuwang; Song, Lingyu
6
2018
The role of exosomes in pancreatic cancer microenvironment. Zbl 1394.92056
Friedman, Avner; Hao, Wenrui
5
2018
Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning. Zbl 1218.65043
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
4
2011
An algorithmic approach to finding factorial designs with generalized minimum aberration. Zbl 1157.65011
Sun, Fasheng; Liu, Min-Qian; Hao, Wenrui
4
2009
Mathematical model of chronic pancreatitis. Zbl 1404.92096
Hao, Wenrui; Komar, Hannah M.; Hart, Phil A.; Conwell, Darwin L.; Lesinski, Gregory B.; Friedman, Avner
4
2017
Vibrations of thin plates with small clamped patches. Zbl 1371.35285
Lindsay, A. E.; Hao, W.; Sommese, A. J.
4
2015
A mathematical model of pre-diagnostic glioma growth. Zbl 1343.92247
Sturrock, Marc; Hao, Wenrui; Schwartzbaum, Judith; Rempala, Grzegorz A.
4
2015
Parallel iterative methods for parabolic equations. Zbl 1160.65328
Hao, Wenrui; Zhu, Shaohong
3
2009
Domain decomposition schemes with high-order accuracy and unconditional stability. Zbl 1273.65136
Hao, Wenrui; Zhu, Shaohong
3
2013
Moving least squares based sensitivity analysis for models with dependent variables. Zbl 1274.62490
Tian, Longfei; Lu, Zhenzhou; Hao, Wenrui
3
2013
An equation-by-equation method for solving the multidimensional moment constrained maximum entropy problem. Zbl 1409.65034
Hao, Wenrui; Harlim, John
3
2018
Mathematical modeling of liver fibrosis. Zbl 1348.92079
Friedman, Avner; Hao, Wenrui
2
2017
A new interpretation and validation of variance based importance measures for models with correlated inputs. Zbl 1302.93194
Hao, Wenrui; Lu, Zhenzhou; Li, Luyi
2
2013
Concentration phenomena in an integro-PDE model for evolution of conditional dispersal. Zbl 1429.35126
Hao, Wenrui; Lam, King-Yeung; Lou, Yuan
2
2019
Dimorphism by singularity theory in a model for river ecology. Zbl 1368.92200
Golubitsky, Martin; Hao, Wenrui; Lam, King-Yeung; Lou, Yuan
2
2017
Two-level spectral methods for nonlinear elliptic equations with multiple solutions. Zbl 1398.65107
Wang, Yingwei; Hao, Wenrui; Lin, Guang
2
2018
Spatial pattern formation in reaction-diffusion models: a computational approach. Zbl 1432.92009
Hao, Wenrui; Xue, Chuan
2
2020
An adaptive homotopy method for computing bifurcations of nonlinear parametric systems. Zbl 1437.37111
Hao, Wenrui; Zheng, Chunyue
2
2020
Computational causal modeling of the dynamic biomarker cascade in Alzheimer’s disease. Zbl 1423.92027
Petrella, Jeffrey R.; Hao, Wenrui; Rao, Adithi; Doraiswamy, P. Murali; Li, Shaoyu
1
2019
A homotopy method for parameter estimation of nonlinear differential equations with multiple optima. Zbl 1398.65340
Hao, Wenrui
1
2018
Mathematical model of renal interstitial fibrosis. Zbl 1355.92050
Hao, Wenrui; Rovin, Brad H.; Friedman, Avner
1
2014
Spatial pattern formation in reaction-diffusion models: a computational approach. Zbl 1432.92009
Hao, Wenrui; Xue, Chuan
2
2020
An adaptive homotopy method for computing bifurcations of nonlinear parametric systems. Zbl 1437.37111
Hao, Wenrui; Zheng, Chunyue
2
2020
Concentration phenomena in an integro-PDE model for evolution of conditional dispersal. Zbl 1429.35126
Hao, Wenrui; Lam, King-Yeung; Lou, Yuan
2
2019
Computational causal modeling of the dynamic biomarker cascade in Alzheimer’s disease. Zbl 1423.92027
Petrella, Jeffrey R.; Hao, Wenrui; Rao, Adithi; Doraiswamy, P. Murali; Li, Shaoyu
1
2019
Convergence of boundary integral method for a free boundary system. Zbl 1386.35492
Hao, Wenrui; Hu, Bei; Li, Shuwang; Song, Lingyu
6
2018
The role of exosomes in pancreatic cancer microenvironment. Zbl 1394.92056
Friedman, Avner; Hao, Wenrui
5
2018
An equation-by-equation method for solving the multidimensional moment constrained maximum entropy problem. Zbl 1409.65034
Hao, Wenrui; Harlim, John
3
2018
Two-level spectral methods for nonlinear elliptic equations with multiple solutions. Zbl 1398.65107
Wang, Yingwei; Hao, Wenrui; Lin, Guang
2
2018
A homotopy method for parameter estimation of nonlinear differential equations with multiple optima. Zbl 1398.65340
Hao, Wenrui
1
2018
Mathematical model of chronic pancreatitis. Zbl 1404.92096
Hao, Wenrui; Komar, Hannah M.; Hart, Phil A.; Conwell, Darwin L.; Lesinski, Gregory B.; Friedman, Avner
4
2017
Mathematical modeling of liver fibrosis. Zbl 1348.92079
Friedman, Avner; Hao, Wenrui
2
2017
Dimorphism by singularity theory in a model for river ecology. Zbl 1368.92200
Golubitsky, Martin; Hao, Wenrui; Lam, King-Yeung; Lou, Yuan
2
2017
A mathematical model of atherosclerosis with reverse cholesterol transport and associated risk factors. Zbl 1334.92198
Friedman, Avner; Hao, Wenrui
15
2015
Counting solutions of the Bethe equations of the quantum group invariant open XXZ chain at roots of unity. Zbl 1341.82022
Gainutdinov, Azat M.; Hao, Wenrui; Nepomechie, Rafael I.; Sommese, Andrew J.
9
2015
A free boundary problem for steady small plaques in the artery and their stability. Zbl 1322.35181
Friedman, Avner; Hao, Wenrui; Hu, Bei
7
2015
Vibrations of thin plates with small clamped patches. Zbl 1371.35285
Lindsay, A. E.; Hao, W.; Sommese, A. J.
4
2015
A mathematical model of pre-diagnostic glioma growth. Zbl 1343.92247
Sturrock, Marc; Hao, Wenrui; Schwartzbaum, Judith; Rempala, Grzegorz A.
4
2015
Mathematical model of sarcoidosis. Zbl 1355.92049
Hao, Wenrui; Crouser, Elliott D.; Friedman, Avner
14
2014
Bertini_real: software for one- and two-dimensional real algebraic sets. Zbl 1437.14005
Brake, Daniel A.; Bates, Daniel J.; Hao, Wenrui; Hauenstein, Jonathan D.; Sommese, Andrew J.; Wampler, Charles W.
13
2014
A bootstrapping approach for computing multiple solutions of differential equations. Zbl 1294.65085
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
12
2014
Mathematical model of renal interstitial fibrosis. Zbl 1355.92050
Hao, Wenrui; Rovin, Brad H.; Friedman, Avner
1
2014
Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1303.92044
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; McCoy, Timothy; Sommese, Andrew J.
16
2013
A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. Zbl 1349.65558
Hao, Wenrui; Hauenstein, Jonathan D.; Shu, Chi-Wang; Sommese, Andrew J.; Xu, Zhiliang; Zhang, Yong-Tao
16
2013
Algorithm 931, an algorithm and software for computing multiplicity structures at zeros of nonlinear systems. Zbl 1295.65058
Hao, Wenrui; Sommese, Andrew J.; Zeng, Zhonggang
7
2013
Cell cycle control and bifurcation for a free boundary problem modeling tissue growth. Zbl 1271.92012
Hao, Wenrui; Hu, Bei; Sommese, Andrew J.
6
2013
Domain decomposition schemes with high-order accuracy and unconditional stability. Zbl 1273.65136
Hao, Wenrui; Zhu, Shaohong
3
2013
Moving least squares based sensitivity analysis for models with dependent variables. Zbl 1274.62490
Tian, Longfei; Lu, Zhenzhou; Hao, Wenrui
3
2013
A new interpretation and validation of variance based importance measures for models with correlated inputs. Zbl 1302.93194
Hao, Wenrui; Lu, Zhenzhou; Li, Luyi
2
2013
Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core. Zbl 1238.35193
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
30
2012
Continuation along bifurcation branches for a tumor model with a necrotic core. Zbl 1328.92032
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
21
2012
Efficient sampling methods for global reliability sensitivity analysis. Zbl 1307.62244
Wei, Pengfei; Lu, Zhenzhou; Hao, Wenrui; Feng, Jun; Wang, Bintuan
7
2012
A three-dimensional steady-state tumor system. Zbl 1238.92019
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Sommese, Andrew J.
16
2011
Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning. Zbl 1218.65043
Hao, Wenrui; Hauenstein, Jonathan D.; Hu, Bei; Liu, Yuan; Sommese, Andrew J.; Zhang, Yong-Tao
4
2011
An algorithmic approach to finding factorial designs with generalized minimum aberration. Zbl 1157.65011
Sun, Fasheng; Liu, Min-Qian; Hao, Wenrui
4
2009
Parallel iterative methods for parabolic equations. Zbl 1160.65328
Hao, Wenrui; Zhu, Shaohong
3
2009
all top 5

Cited by 254 Authors

22 Hao, Wenrui
13 Hauenstein, Jonathan D.
13 Hu, Bei
12 Friedman, Avner
8 Sommese, Andrew John
5 Lam, King-Yeung
5 Lü, Zhenzhou
4 Bates, Daniel J.
4 Myerscough, Mary R.
4 Nepomechie, Rafael I.
4 Siewe, Nourridine
4 Wu, Junde
4 Zhang, Yongtao
3 Feng, Yong
3 Huang, Yaodan
3 Jacobsen, Jesper Lykke
3 Li, Shuwang
3 Lou, Yuan
3 Wu, Wenyuan
3 Xing, Ruixiang
3 Zhang, Zhengce
3 Zhao, Xinyue Evelyn
3 Zheng, Chunyue
2 Bajnok, Zoltán
2 Batselier, Kim
2 Brown, David A.
2 Byrne, Helen Mary
2 Chen, Changbo
2 Chen, Hongbin
2 Engquist, Bjorn E.
2 Froese, Brittany D.
2 Gallegos, Armando
2 Gee, Michael W.
2 Harlim, John
2 He, Yinnian
2 Jiang, Yunfeng
2 Lin, Guang
2 Liu, Chun
2 Liu, Yuan
2 Lu, Min-Jhe
2 Macaskill, Charlie
2 Macías-Díaz, Jorge Eduardo
2 Maini, Philip Kumar
2 Newell, Andrew J.
2 Niemerg, Matthew E.
2 Satoskar, Abhay R
2 Shu, Chi-Wang
2 Song, Huijuan
2 Tang, ZhangChun
2 Thon, Moritz P.
2 Tsai, Yen-Hsi Richard
2 Wang, Pan
2 Wang, Zejia
2 Watson, Michael G.
2 Wei, Pengfei
2 Xu, Shihe
2 Yakubu, Abdul-Aziz
2 Zhang, Yang
2 Zhang, Yarong
2 Zheng, Jiayue
2 Zingg, David W.
1 Alba-Ruiz, Eduardo
1 Anderson, Alexander R. A.
1 Androulakis, Emmanouil
1 Anjuère, Fabienne
1 Arabameri, Abazar
1 Asemani, Davud
1 Atsou, Kevin
1 Ayala-Hernández, L. E.
1 Azami, Shahroud
1 Bai, Meng
1 Beer, Michael A.
1 Beltrán, Carlos
1 Bessonov, Nikolai
1 Birkisson, Asgeir
1 Bocharov, Gennady A.
1 Boumaza, Nouri
1 Boyd, John Philip
1 Brake, Dani A.
1 Brake, Daniel A.
1 Brake, Danielle A.
1 Braud, Véronique M.
1 Bulutoglu, Dursun A.
1 Calussi, Gabriele
1 Cantrell, Robert Stephen
1 Cervantes-Sánchez, J. Jesús
1 Chadwick, Edmund A.
1 Chakravarty, Santabrata
1 Chen, Jianhua
1 Chen, Jingwei
1 Chen, Shanqin
1 Cheng, Jinsan
1 Cheng, Kai
1 Cheng, Lei
1 Cheng, Yingda
1 Chowkwale, M.
1 Collins, Joseph B.
1 Cosner, Chris
1 Cui, Shangbin
1 Daleo, Noah S.
...and 154 more Authors
all top 5

Cited in 62 Serials

11 Bulletin of Mathematical Biology
10 Journal of Scientific Computing
6 Journal of Computational and Applied Mathematics
6 Applied Mathematical Modelling
5 Journal of Computational Physics
5 Journal of Differential Equations
5 Journal of Theoretical Biology
4 Journal of Mathematical Biology
4 Journal of Symbolic Computation
4 Mechanism and Machine Theory
4 Journal of High Energy Physics
4 Nonlinear Analysis. Real World Applications
4 Discrete and Continuous Dynamical Systems. Series B
3 Computers & Mathematics with Applications
3 Journal of Mathematical Analysis and Applications
3 Mathematical Biosciences and Engineering
2 Computers and Fluids
2 Mathematical Biosciences
2 Nonlinearity
2 Nuclear Physics. B
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Applied Mathematics and Computation
2 Applied Numerical Mathematics
2 Numerical Algorithms
2 SIAM Journal on Applied Mathematics
2 SIAM Journal on Scientific Computing
2 Advances in Computational Mathematics
2 Discrete and Continuous Dynamical Systems
2 Journal of Mathematical Chemistry
2 Mathematical Problems in Engineering
2 Chaos
2 Foundations of Computational Mathematics
2 Journal of Systems Science and Complexity
1 Computer Methods in Applied Mechanics and Engineering
1 Metrika
1 Rocky Mountain Journal of Mathematics
1 Automatica
1 Journal of Pure and Applied Algebra
1 Journal für die Reine und Angewandte Mathematik
1 Mathematics and Computers in Simulation
1 Computer Aided Geometric Design
1 Journal of Complexity
1 Applied Mathematics Letters
1 Communications in Statistics. Theory and Methods
1 Linear Algebra and its Applications
1 SIAM Review
1 Celestial Mechanics and Dynamical Astronomy
1 Journal of Dynamics and Differential Equations
1 NoDEA. Nonlinear Differential Equations and Applications
1 Engineering Analysis with Boundary Elements
1 Advances in Geometry
1 Journal of Applied Mathematics
1 International Journal of Computational Methods
1 Advances in Difference Equations
1 Journal of Statistical Mechanics: Theory and Experiment
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Communications in Applied Mathematics and Computational Science
1 Journal of Statistical Theory and Practice
1 Science China. Mathematics
1 Journal of Function Spaces
1 Philosophical Transactions A. Royal Society of London
1 Computational and Mathematical Biophysics

Citations by Year