Wenrui Hao

According to our database, Wenrui Hao authored at least 55 papers between 2009 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

A Numerical Method for Solving Elliptic Equations on Real Closed Algebraic Curves and Surfaces.

Wenrui Hao, Jonathan D. Hauenstein, Margaret H. Regan, Tingting Tang

J. Sci. Comput., May, 2024

HomPINNs: Homotopy physics-informed neural networks for solving the inverse problems of nonlinear differential equations with multiple solutions.

Haoyang Zheng, Yao Huang, Ziyang Huang, Wenrui Hao, Guang Lin

J. Comput. Phys., March, 2024

An Adaptive Orthogonal Basis Method for Computing Multiple Solutions of Differential Equations with polynomial nonlinearities.

Lin Li, Yangyi Ye, Wenrui Hao, Huiyuan Li

CoRR, 2024

2023

Greedy training algorithms for neural networks and applications to PDEs.

Jonathan W. Siegel, Qingguo Hong, Xianlin Jin, Wenrui Hao, Jinchao Xu

J. Comput. Phys., July, 2023

Homotopy Relaxation Training Algorithms for Infinite-Width Two-Layer ReLU Neural Networks.

Yahong Yang, Qipin Chen, Wenrui Hao

CoRR, 2023

Gauss Newton method for solving variational problems of PDEs with neural network discretizaitons.

Wenrui Hao, Qingguo Hong, Xianlin Jin, Yiran Wang

CoRR, 2023

Companion-Based Multi-Level Finite Element Method for Computing Multiple Solutions of Nonlinear Differential Equations.

Wenrui Hao, Sun Lee, Young Ju Lee

CoRR, 2023

Deep Learning via Neural Energy Descent.

Wenrui Hao, Chunmei Wang, Xingjian Xu, Haizhao Yang

CoRR, 2023

2022

Optimal anti-amyloid-beta therapy for Alzheimer's disease via a personalized mathematical model.

Wenrui Hao, Suzanne Lenhart, Jeffrey R. Petrella

PLoS Comput. Biol., September, 2022

Data-driven causal model discovery and personalized prediction in Alzheimer's disease.

Haoyang Zheng, Jeffrey R. Petrella, P. Murali Doraiswamy, Guang Lin, Wenrui Hao

npj Digit. Medicine, 2022

Randomized Newton's Method for Solving Differential Equations Based on the Neural Network Discretization.

Qipin Chen, Wenrui Hao

J. Sci. Comput., 2022

Power series expansion neural network.

Qipin Chen, Wenrui Hao, Juncai He

J. Comput. Sci., 2022

Nonlinear simulation of vascular tumor growth with chemotaxis and the control of necrosis.

Min-Jhe Lu, Wenrui Hao, Chun Liu, John S. Lowengrub, Shuwang Li

J. Comput. Phys., 2022

Exploring approaches for predictive cancer patient digital twins: Opportunities for collaboration and innovation.

Eric A. Stahlberg, Mohamed Abdel-Rahman, Boris Aguilar, Alireza Asadpoure, Robert A. Beckman, Lynn L. Borkon, Jeffrey N. Bryan, Colleen M. Cebulla, Young Hwan Chang, Ansu Chatterjee, Jun Deng, Sepideh Dolatshahi, Olivier Gevaert, Emily J. Greenspan, Wenrui Hao, Tina Hernandez-Boussard, Pamela R. Jackson, Marieke L. Kuijjer, Adrian Lee, Paul Macklin, Subha Madhavan, Matthew D. McCoy, Navid Mohammad Mirzaei, Talayeh Razzaghi, Heber L. Rocha, Leili Shahriyari, Ilya Shmulevich, Daniel G. Stover, Yi Sun, Tanveer F. Syeda-Mahmood, Jinhua Wang, Qi Wang, Ioannis K. Zervantonakis

Frontiers Digit. Health, 2022

Bifurcation Analysis Reveals Solution Structures of Phase Field Models.

Xinyue Evelyn Zhao, Long-Qing Chen, Wenrui Hao, Yanxiang Zhao

CoRR, 2022

Stability Preserving Data-driven Models With Latent Dynamics.

Yushuang Luo, Xiantao Li, Wenrui Hao

CoRR, 2022

HomPINNs: Homotopy physics-informed neural networks for learning multiple solutions of nonlinear elliptic differential equations.

Yao Huang, Wenrui Hao, Guang Lin

Comput. Math. Appl., 2022

An adaptive homotopy tracking algorithm for solving nonlinear parametric systems with applications in nonlinear ODEs.

Wenrui Hao

Appl. Math. Lett., 2022

A weight initialization based on the linear product structure for neural networks.

Qipin Chen, Wenrui Hao, Juncai He

Appl. Math. Comput., 2022

2021

A Stochastic Homotopy Tracking Algorithm for Parametric Systems of Nonlinear Equations.

Wenrui Hao, Chunyue Zheng

J. Sci. Comput., 2021

Multiscale and monolithic arbitrary Lagrangian-Eulerian finite element method for a hemodynamic fluid-structure interaction problem involving aneurysms.

Wenrui Hao, Pengtao Sun, Jinchao Xu, Lian Zhang

J. Comput. Phys., 2021

Learn bifurcations of nonlinear parametric systems via equation-driven neural networks.

Wenrui Hao, Chunyue Zheng

CoRR, 2021

Two neural-network-based methods for solving obstacle problems.

Xinyue Evelyn Zhao, Wenrui Hao, Bei Hu

CoRR, 2021

An efficient greedy training algorithm for neural networks and applications in PDEs.

Wenrui Hao, Xianlin Jin, Jonathan W. Siegel, Jinchao Xu

CoRR, 2021

Projection based model reduction for the immersed boundary method.

Yushuang Luo, Xiantao Li, Wenrui Hao

CoRR, 2021

Convergence analysis of neural networks for solving a free boundary problem.

Xinyue Evelyn Zhao, Wenrui Hao, Bei Hu

Comput. Math. Appl., 2021

A gradient descent method for solving a system of nonlinear equations.

Wenrui Hao

Appl. Math. Lett., 2021

2020

An Adaptive Homotopy Method for Computing Bifurcations of Nonlinear Parametric Systems.

Wenrui Hao, Chunyue Zheng

J. Sci. Comput., 2020

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

Wenrui Hao, Jan S. Hesthaven, Guang Lin, Bin Zheng

J. Sci. Comput., 2020

Convergence analysis of neural networks for solving a free boundary system.

Xinyue Evelyn Zhao, Wenrui Hao, Bei Hu

CoRR, 2020

2019

A machine learning method correlating pulse pressure wave data with pregnancy.

Jianhong Chen, Huang Huang, Wenrui Hao, Jinchao Xu

CoRR, 2019

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

Jeffrey R. Petrella, Wenrui Hao, Adithi Rao, P. Murali Doraiswamy

Comput. Math. Methods Medicine, 2019

2018

Two-Level Spectral Methods for Nonlinear Elliptic Equations with Multiple Solutions.

Yingwei Wang, Wenrui Hao, Guang Lin

SIAM J. Sci. Comput., 2018

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

Wenrui Hao

J. Sci. Comput., 2018

Convergence of boundary integral method for a free boundary system.

Wenrui Hao, Bei Hu, Shuwang Li, Lingyu Song

J. Comput. Appl. Math., 2018

2017

Algorithm 976: Bertini_real: Numerical Decomposition of Real Algebraic Curves and Surfaces.

Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler

ACM Trans. Math. Softw., 2017

Algorithm to improve accuracy of energy expended in a room calorimeter.

Haiying Quan, Wenrui Hao, Lu Li, Ming Sun, Kuan Zhang

Medical Biol. Eng. Comput., 2017

2016

Mathematical model on Alzheimer's disease.

Wenrui Hao, Avner Friedman

BMC Syst. Biol., 2016

2015

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

Wenrui Hao, Zhiliang Xu, Chun Liu, Guang Lin

J. Comput. Phys., 2015

2014

A bootstrapping approach for computing multiple solutions of differential equations.

Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Andrew J. Sommese

J. Comput. Appl. Math., 2014

Bertini_real: Software for One- and Two-Dimensional Real Algebraic Sets.

Daniel A. Brake, Daniel J. Bates, Wenrui Hao, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler

Proceedings of the Mathematical Software - ICMS 2014, 2014

2013

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

Wenrui Hao, Andrew J. Sommese, Zhonggang Zeng

ACM Trans. Math. Softw., 2013

Uncertainty importance measure for models with correlated normal variables.

Wenrui Hao, Zhenzhou Lu, Pengfei Wei

Reliab. Eng. Syst. Saf., 2013

Cell Cycle Control and Bifurcation for a Free Boundary Problem Modeling Tissue Growth.

Wenrui Hao, Bei Hu, Andrew J. Sommese

J. Sci. Comput., 2013

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

Wenrui Hao, Jonathan D. Hauenstein, Chi-Wang Shu, Andrew J. Sommese, Zhiliang Xu, Yong-Tao Zhang

J. Comput. Phys., 2013

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

Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Timothy M. McCoy, Andrew J. Sommese

J. Comput. Appl. Math., 2013

A new interpretation and validation of variance based importance measures for models with correlated inputs.

Wenrui Hao, Zhenzhou Lu, Luyi Li

Comput. Phys. Commun., 2013

Domain decomposition schemes with high-order accuracy and unconditional stability.

Wenrui Hao, Shaohong Zhu

Appl. Math. Comput., 2013

2012

Importance measure of correlated normal variables and its sensitivity analysis.

Wenrui Hao, Zhenzhou Lu, Longfei Tian

Reliab. Eng. Syst. Saf., 2012

Continuation Along Bifurcation Branches for a Tumor Model with a Necrotic Core.

Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Yuan Liu, Andrew J. Sommese, Yong-Tao Zhang

J. Sci. Comput., 2012

Efficient sampling methods for global reliability sensitivity analysis.

Pengfei Wei, Zhenzhou Lu, Wenrui Hao, Jun Feng, Bintuan Wang

Comput. Phys. Commun., 2012

2011

A three-dimensional steady-state tumor system.

Wenrui Hao, Jonathan D. Hauenstein, Bei Hu, Andrew J. Sommese

Appl. Math. Comput., 2011

2010

High-order Parallel Iterative Method For The Heat Equations.

Wenrui Hao, Chang Liu

Proceedings of the 2010 International Conference on Scientific Computing, 2010

2009

An algorithmic approach to finding factorial designs with generalized minimum aberration.

Fasheng Sun, Min-Qian Liu, Wenrui Hao

J. Complex., 2009

Parallel iterative methods for parabolic equations.

Wenrui Hao, Shaohong Zhu

Int. J. Comput. Math., 2009