Wenrui Hao
Orcid: 0000-0002-6925-7424
According to our database1,
Wenrui Hao
authored at least 60 papers
between 2009 and 2024.
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Bibliography
2024
Gauss Newton Method for Solving Variational Problems of PDEs with Neural Network Discretizaitons.
J. Sci. Comput., July, 2024
A Numerical Method for Solving Elliptic Equations on Real Closed Algebraic Curves and Surfaces.
J. Sci. Comput., May, 2024
HomPINNs: Homotopy physics-informed neural networks for solving the inverse problems of nonlinear differential equations with multiple solutions.
J. Comput. Phys., March, 2024
On pattern formation in the thermodynamically-consistent variational Gray-Scott model.
CoRR, 2024
Stability and Robustness of Time-discretization Schemes for the Allen-Cahn Equation via Bifurcation and Perturbation Analysis.
CoRR, 2024
Automatic Differentiation is Essential in Training Neural Networks for Solving Differential Equations.
CoRR, 2024
Newton Informed Neural Operator for Computing Multiple Solutions of Nonlinear Partials Differential Equations.
CoRR, 2024
An Adaptive Orthogonal Basis Method for Computing Multiple Solutions of Differential Equations with polynomial nonlinearities.
CoRR, 2024
Companion-based multi-level finite element method for computing multiple solutions of nonlinear differential equations.
Comput. Math. Appl., 2024
2023
J. Comput. Phys., July, 2023
Homotopy Relaxation Training Algorithms for Infinite-Width Two-Layer ReLU Neural Networks.
CoRR, 2023
Gauss Newton method for solving variational problems of PDEs with neural network discretizaitons.
CoRR, 2023
2022
Optimal anti-amyloid-beta therapy for Alzheimer's disease via a personalized mathematical model.
PLoS Comput. Biol., September, 2022
Data-driven causal model discovery and personalized prediction in Alzheimer's disease.
npj Digit. Medicine, 2022
Randomized Newton's Method for Solving Differential Equations Based on the Neural Network Discretization.
J. Sci. Comput., 2022
Nonlinear simulation of vascular tumor growth with chemotaxis and the control of necrosis.
J. Comput. Phys., 2022
Exploring approaches for predictive cancer patient digital twins: Opportunities for collaboration and innovation.
Frontiers Digit. Health, 2022
HomPINNs: Homotopy physics-informed neural networks for learning multiple solutions of nonlinear elliptic differential equations.
Comput. Math. Appl., 2022
An adaptive homotopy tracking algorithm for solving nonlinear parametric systems with applications in nonlinear ODEs.
Appl. Math. Lett., 2022
Appl. Math. Comput., 2022
2021
A Stochastic Homotopy Tracking Algorithm for Parametric Systems of Nonlinear Equations.
J. Sci. Comput., 2021
Multiscale and monolithic arbitrary Lagrangian-Eulerian finite element method for a hemodynamic fluid-structure interaction problem involving aneurysms.
J. Comput. Phys., 2021
Learn bifurcations of nonlinear parametric systems via equation-driven neural networks.
CoRR, 2021
CoRR, 2021
Comput. Math. Appl., 2021
Appl. Math. Lett., 2021
2020
An Adaptive Homotopy Method for Computing Bifurcations of Nonlinear Parametric Systems.
J. Sci. Comput., 2020
A Homotopy Method with Adaptive Basis Selection for Computing Multiple Solutions of Differential Equations.
J. Sci. Comput., 2020
CoRR, 2020
2019
CoRR, 2019
Computational Causal Modeling of the Dynamic Biomarker Cascade in Alzheimer's Disease.
Comput. Math. Methods Medicine, 2019
2018
SIAM J. Sci. Comput., 2018
A Homotopy Method for Parameter Estimation of Nonlinear Differential Equations with Multiple Optima.
J. Sci. Comput., 2018
J. Comput. Appl. Math., 2018
2017
Algorithm 976: Bertini_real: Numerical Decomposition of Real Algebraic Curves and Surfaces.
ACM Trans. Math. Softw., 2017
Medical Biol. Eng. Comput., 2017
2016
2015
A fictitious domain method with a hybrid cell model for simulating motion of cells in fluid flow.
J. Comput. Phys., 2015
2014
J. Comput. Appl. Math., 2014
Proceedings of the Mathematical Software - ICMS 2014, 2014
2013
Algorithm 931: An algorithm and software for computing multiplicity structures at zeros of nonlinear systems.
ACM Trans. Math. Softw., 2013
Reliab. Eng. Syst. Saf., 2013
Cell Cycle Control and Bifurcation for a Free Boundary Problem Modeling Tissue Growth.
J. Sci. Comput., 2013
A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws.
J. Comput. Phys., 2013
Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation.
J. Comput. Appl. Math., 2013
A new interpretation and validation of variance based importance measures for models with correlated inputs.
Comput. Phys. Commun., 2013
Appl. Math. Comput., 2013
2012
Reliab. Eng. Syst. Saf., 2012
J. Sci. Comput., 2012
Comput. Phys. Commun., 2012
2011
2010
High-order Parallel Iterative Method For The Heat Equations.
Proceedings of the 2010 International Conference on Scientific Computing, 2010
2009
An algorithmic approach to finding factorial designs with generalized minimum aberration.
J. Complex., 2009