Cover Image

Improved randomized neural network methods with boundary processing for solving elliptic equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Zhou, Huifang, Sheng, Zhiqiang
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Subspace method based on neural networks for solving the partial differential equation
by: Xu, Zhaodong, et al.
Published: (2024)

Subspace method based on neural networks for solving the partial differential equation in weak form
by: Liu, Pengyuan, et al.
Published: (2024)

Weak TransNet: A Petrov-Galerkin based neural network method for solving elliptic PDEs
by: Xu, Zhihang, et al.
Published: (2025)

Data-integrated neural networks for solving partial differential equations
by: Zheng, Jiachun, et al.
Published: (2025)

IG-PINNs: Interface-gated physics-informed neural networks for solving elliptic interface problems
by: Zheng, Jiachun, et al.
Published: (2025)

HANN: Homotopy auxiliary neural network for solving nonlinear algebraic equations
by: Zai, Ling-Zhe, et al.
Published: (2025)

A shallow physics-informed neural network for solving partial differential equations on surfaces
by: Hu, Wei-Fan, et al.
Published: (2022)

On the relaxed greedy randomized Kaczmarz methods with momentum acceleration for solving matrix equation AXB=C
by: Wu, Nian-Ci, et al.
Published: (2023)

Gauss Newton method for solving variational problems of PDEs with neural network discretizaitons
by: Hao, Wenrui, et al.
Published: (2023)

A piecewise neural network method for solving large interval solution to initial value problem of ordinary differential equations
by: Han, Dongpeng, et al.
Published: (2024)

An iterative method for solving elliptic BVP in one-dimension
by: Zelaya, Christian O. Bernal, et al.
Published: (2024)

A finite volume method preserving the invariant region property for the quasimonotone reaction-diffusion systems
by: Zhou, Huifang
Published: (2024)

On understanding and overcoming spectral biases of deep neural network learning methods for solving PDEs
by: Xu, Zhi-Qin John, et al.
Published: (2025)

Adaptive neural network basis methods for partial differential equations with low-regular solutions
by: Huang, Jianguo, et al.
Published: (2024)

Symmetry group based domain decomposition to enhance physics-informed neural networks for solving partial differential equations
by: Liu, Ye, et al.
Published: (2024)

Accurate adaptive deep learning method for solving elliptic problems
by: Ying, Jingyong, et al.
Published: (2024)

Subspace method based on neural networks for eigenvalue problems
by: Dai, Xiaoying, et al.
Published: (2024)

SO-PIFRNN: Self-optimization physics-informed Fourier-features randomized neural network for solving partial differential equations
by: Linghu, Jiale, et al.
Published: (2025)

On the positivity, monotonicity, and stability of a semi-adaptive LOD method for solving three-dimensional degenerate Kawarada equations
by: Padgett, Joshua L., et al.
Published: (2019)

The discrete inverse conductivity problem solved by the weights of an interpretable neural network
by: Beretta, Elena, et al.
Published: (2024)

Functional tensor train neural network for solving high-dimensional PDEs
by: Feng, Yani, et al.
Published: (2025)

Boundary neuron method for solving partial differential equations
by: Lin, Ye, et al.
Published: (2026)

A discontinuous plane wave neural network method for Helmholtz equation and time-harmonic Maxwell's equations
by: Yuan, Long, et al.
Published: (2023)

A polyhedral scaled boundary finite element method solving three-dimensional heat conduction problems
by: Yan, Mingjiao, et al.
Published: (2024)

Towards $C^0$ finite element methods for fourth-order elliptic equation. Part I: general boundary conditions
by: Zhang, Xihao, et al.
Published: (2026)

A new approximation method for solving stochastic differential equations
by: Mojarrad, Faezeh Nassajian
Published: (2024)

Factorized Krylov subspace methods for solving large Sylvester equations
by: Satake, Yuki, et al.
Published: (2026)

An alternating learning-based collocation method for solving inverse elliptic problems
by: Kong, Zhizhong, et al.
Published: (2026)

Optimization methods for solving matrix equations
by: Zhang, Juan, et al.
Published: (2024)

Physics-informed neural networks for solving two-phase flow problems with moving interfaces
by: Zhai, Qijia, et al.
Published: (2026)

On the extended randomized multiple row method for solving linear least-squares problems
by: Wu, Nian-Ci, et al.
Published: (2022)

On greedy multi-step inertial randomized Kaczmarz method for solving linear systems
by: Su, Yansheng, et al.
Published: (2023)

On global randomized block Kaczmarz algorithm for solving large-scale matrix equations
by: Niu, Yu-Qi, et al.
Published: (2022)

An efficient boundary integral equation solution technique for solving aperiodic scattering problems from two-dimensional, periodic boundaries
by: Fisher, Riley, et al.
Published: (2025)

Deep learning methods for stochastic Galerkin approximations of elliptic random PDEs
by: Musco, Fabio, et al.
Published: (2024)

A novel number-theoretic sampling method for neural network solutions of partial differential equations
by: Yang, Yu, et al.
Published: (2024)

Moving sample method for solving time-dependent partial differential equations
by: Xu, Beining, et al.
Published: (2026)

A categorical embedding discontinuity-capturing shallow neural network for anisotropic elliptic interface problems
by: Hu, Wei-Fan, et al.
Published: (2025)

Fourth-order compact finite difference schemes for solving biharmonic equations with Dirichlet boundary conditions
by: Pan, Kejia, et al.
Published: (2024)

Inverse Lax-Wendroff boundary treatment for solving conservation laws with finite difference HWENO methods
by: Zhu, Guangyao, et al.
Published: (2025)