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2020 – today
- 2023
[i15]Wenrui Hao, Chunmei Wang, Xingjian Xu, Haizhao Yang:
Deep Learning via Neural Energy Descent. CoRR abs/2302.10424 (2023)- 2022
- [j34]Qipin Chen, Wenrui Hao
, Juncai He:
A weight initialization based on the linear product structure for neural networks. Appl. Math. Comput. 415: 126722 (2022) - [j33]Wenrui Hao:
An adaptive homotopy tracking algorithm for solving nonlinear parametric systems with applications in nonlinear ODEs. Appl. Math. Lett. 125: 107767 (2022) - [j32]Yao Huang, Wenrui Hao, Guang Lin:
HomPINNs: Homotopy physics-informed neural networks for learning multiple solutions of nonlinear elliptic differential equations. Comput. Math. Appl. 121: 62-73 (2022) - [j31]Min-Jhe Lu, Wenrui Hao, Chun Liu, John S. Lowengrub, Shuwang Li:
Nonlinear simulation of vascular tumor growth with chemotaxis and the control of necrosis. J. Comput. Phys. 459: 111153 (2022) - [j30]Qipin Chen, Wenrui Hao, Juncai He:
Power series expansion neural network. J. Comput. Sci. 59: 101552 (2022) - [j29]Qipin Chen, Wenrui Hao:
Randomized Newton's Method for Solving Differential Equations Based on the Neural Network Discretization. J. Sci. Comput. 92(2): 49 (2022) - [i14]Yushuang Luo, Xiantao Li, Wenrui Hao:
Stability Preserving Data-driven Models With Latent Dynamics. CoRR abs/2204.11744 (2022) - [i13]Xinyue Evelyn Zhao, Long-Qing Chen, Wenrui Hao, Yanxiang Zhao:
Bifurcation Analysis Reveals Solution Structures of Phase Field Models. CoRR abs/2210.06691 (2022) - 2021
- [j28]Wenrui Hao:
A gradient descent method for solving a system of nonlinear equations. Appl. Math. Lett. 112: 106739 (2021) - [j27]Xinyue Evelyn Zhao, Wenrui Hao, Bei Hu:
Convergence analysis of neural networks for solving a free boundary problem. Comput. Math. Appl. 93: 144-155 (2021) - [j26]Wenrui Hao, Pengtao Sun, Jinchao Xu, Lian Zhang:
Multiscale and monolithic arbitrary Lagrangian-Eulerian finite element method for a hemodynamic fluid-structure interaction problem involving aneurysms. J. Comput. Phys. 433: 110181 (2021) - [j25]Wenrui Hao, Chunyue Zheng:
A Stochastic Homotopy Tracking Algorithm for Parametric Systems of Nonlinear Equations. J. Sci. Comput. 87(3): 87 (2021) - [i12]Yushuang Luo, Xiantao Li, Wenrui Hao:
Projection based model reduction for the immersed boundary method. CoRR abs/2101.12088 (2021) - [i11]Qipin Chen, Wenrui Hao, Juncai He:
Power series expansion neural network. CoRR abs/2102.13221 (2021) - [i10]Wenrui Hao, Chunyue Zheng:
A stochastic homotopy tracking algorithm for parametric systems of nonlinear equations. CoRR abs/2104.05667 (2021) - [i9]Wenrui Hao, Xianlin Jin, Jonathan W. Siegel, Jinchao Xu:
An efficient greedy training algorithm for neural networks and applications in PDEs. CoRR abs/2107.04466 (2021) - [i8]Min-Jhe Lu, Wenrui Hao, Chun Liu, John S. Lowengrub, Shuwang Li:
Nonlinear simulation of vascular tumor growth with chemotaxis and the control of necrosis. CoRR abs/2107.11701 (2021) - [i7]Qipin Chen, Wenrui Hao, Juncai He:
A Weight Initialization Based on the Linear Product Structure for Neural Networks. CoRR abs/2109.00125 (2021) - [i6]Xinyue Evelyn Zhao, Wenrui Hao, Bei Hu:
Two neural-network-based methods for solving obstacle problems. CoRR abs/2111.01761 (2021) - [i5]Wenrui Hao, Chunyue Zheng:
Learn bifurcations of nonlinear parametric systems via equation-driven neural networks. CoRR abs/2112.07751 (2021) - 2020
- [j24]Wenrui Hao, Jan S. Hesthaven, Guang Lin, Bin Zheng:
A Homotopy Method with Adaptive Basis Selection for Computing Multiple Solutions of Differential Equations. J. Sci. Comput. 82(1): 19 (2020) - [j23]Wenrui Hao, Chunyue Zheng:
An Adaptive Homotopy Method for Computing Bifurcations of Nonlinear Parametric Systems. J. Sci. Comput. 82(3): 53 (2020) - [i4]Wenrui Hao, Chunyue Zheng:
An adaptive homotopy method for computing bifurcations of nonlinear parametric systems. CoRR abs/2002.03460 (2020) - [i3]Xinyue Evelyn Zhao, Wenrui Hao, Bei Hu:
Convergence analysis of neural networks for solving a free boundary system. CoRR abs/2011.00315 (2020)
2010 – 2019
- 2019
- [j22]Jeffrey R. Petrella, Wenrui Hao, Adithi Rao, P. Murali Doraiswamy:
Computational Causal Modeling of the Dynamic Biomarker Cascade in Alzheimer's Disease. Comput. Math. Methods Medicine 2019: 6216530:1-6216530:8 (2019) - [i2]Jianhong Chen, Huang Huang, Wenrui Hao, Jinchao Xu:
A machine learning method correlating pulse pressure wave data with pregnancy. CoRR abs/1910.01726 (2019) - [i1]Qipin Chen, Wenrui Hao:
A randomized Newton's method for solving differential equations based on the neural network discretization. CoRR abs/1912.03196 (2019) - 2018
- [j21]Wenrui Hao, Bei Hu, Shuwang Li, Lingyu Song:
Convergence of boundary integral method for a free boundary system. J. Comput. Appl. Math. 334: 128-157 (2018) - [j20]Wenrui Hao:
A Homotopy Method for Parameter Estimation of Nonlinear Differential Equations with Multiple Optima. J. Sci. Comput. 74(3): 1314-1324 (2018) - [j19]Yingwei Wang, Wenrui Hao, Guang Lin:
Two-Level Spectral Methods for Nonlinear Elliptic Equations with Multiple Solutions. SIAM J. Sci. Comput. 40(4): B1180-B1205 (2018) - 2017
- [j18]Haiying Quan, Wenrui Hao, Lu Li, Ming Sun, Kuan Zhang:
Algorithm to improve accuracy of energy expended in a room calorimeter. Medical Biol. Eng. Comput. 55(8): 1215-1225 (2017) - [j17]Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler:
Algorithm 976: Bertini_real: Numerical Decomposition of Real Algebraic Curves and Surfaces. ACM Trans. Math. Softw. 44(1): 10:1-10:30 (2017) - 2016
- [j16]Wenrui Hao, Avner Friedman:
Mathematical model on Alzheimer's disease. BMC Syst. Biol. 10: 108:1-108:18 (2016) - 2015
- [j15]Wenrui Hao, Zhiliang Xu, Chun Liu, Guang Lin:
A fictitious domain method with a hybrid cell model for simulating motion of cells in fluid flow. J. Comput. Phys. 280: 345-362 (2015) - 2014
- [j14]Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Andrew J. Sommese:
A bootstrapping approach for computing multiple solutions of differential equations. J. Comput. Appl. Math. 258: 181-190 (2014) - [c2]Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler:
Bertini_real: Software for One- and Two-Dimensional Real Algebraic Sets. ICMS 2014: 175-182 - 2013
- [j13]Wenrui Hao, Shaohong Zhu:
Domain decomposition schemes with high-order accuracy and unconditional stability. Appl. Math. Comput. 219(11): 6170-6181 (2013) - [j12]Wenrui Hao, Zhenzhou Lu, Luyi Li:
A new interpretation and validation of variance based importance measures for models with correlated inputs. Comput. Phys. Commun. 184(5): 1401-1413 (2013) - [j11]Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Timothy M. McCoy, Andrew J. Sommese:
Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation. J. Comput. Appl. Math. 237(1): 326-334 (2013) - [j10]Wenrui Hao, Jonathan D. Hauenstein, Chi-Wang Shu, Andrew J. Sommese, Zhiliang Xu, Yong-Tao Zhang:
A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. J. Comput. Phys. 250: 332-346 (2013) - [j9]Wenrui Hao, Bei Hu, Andrew J. Sommese:
Cell Cycle Control and Bifurcation for a Free Boundary Problem Modeling Tissue Growth. J. Sci. Comput. 56(2): 350-365 (2013) - [j8]Wenrui Hao, Zhenzhou Lu, Pengfei Wei:
Uncertainty importance measure for models with correlated normal variables. Reliab. Eng. Syst. Saf. 112: 48-58 (2013) - [j7]Wenrui Hao, Andrew J. Sommese, Zhonggang Zeng:
Algorithm 931: An algorithm and software for computing multiplicity structures at zeros of nonlinear systems. ACM Trans. Math. Softw. 40(1): 5:1-5:16 (2013) - 2012
- [j6]Pengfei Wei, Zhenzhou Lu, Wenrui Hao, Jun Feng, Bintuan Wang:
Efficient sampling methods for global reliability sensitivity analysis. Comput. Phys. Commun. 183(8): 1728-1743 (2012) - [j5]Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Yuan Liu, Andrew J. Sommese, Yong-Tao Zhang:
Continuation Along Bifurcation Branches for a Tumor Model with a Necrotic Core. J. Sci. Comput. 53(2): 395-413 (2012) - [j4]Wenrui Hao, Zhenzhou Lu, Longfei Tian:
Importance measure of correlated normal variables and its sensitivity analysis. Reliab. Eng. Syst. Saf. 99: 151-160 (2012) - 2011
- [j3]Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Andrew J. Sommese:
A three-dimensional steady-state tumor system. Appl. Math. Comput. 218(6): 2661-2669 (2011) - 2010
- [c1]Wenrui Hao, Chang Liu:
High-order Parallel Iterative Method For The Heat Equations. CSC 2010: 243-250
2000 – 2009
- 2009
- [j2]Wenrui Hao, Shaohong Zhu:
Parallel iterative methods for parabolic equations. Int. J. Comput. Math. 86(3): 431-440 (2009) - [j1]Fasheng Sun, Min-Qian Liu, Wenrui Hao:
An algorithmic approach to finding factorial designs with generalized minimum aberration. J. Complex. 25(1): 75-84 (2009)
Coauthor Index
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last updated on 2023-03-22 23:38 CET by the dblp team
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