Cover Image

Rank Inspired Neural Network for solving linear partial differential equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Peng, Wentao, Huang, Yunqing, Yi, Nianyu
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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)

DataTransfer: Neural network based interpolation across non-nested meshes
by: Hao, Jiaxiong, et al.
Published: (2025)

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

Robust PDE discovery under sparse and highly noisy conditions via attention neural networks
by: Zhang, Shilin, et al.
Published: (2025)

A posteriori error estimators for fourth order elliptic problems with concentrated loads
by: Cao, Huihui, et al.
Published: (2024)

Diffusion models with physics-guided inference for solving partial differential equations
by: Bing, Yi, et al.
Published: (2026)

Neural network-enhanced $hr$-adaptive finite element algorithm for parabolic equations
by: Hao, Jiaxiong, et al.
Published: (2025)

Transcending Sparse Measurement Limits: Operator-Learning-Driven Data Super-Resolution for Inverse Source Problem
by: Pan, Guanyu, et al.
Published: (2025)

A linear, unconditionally stable, second order decoupled method for the Ericksen-Leslie model with SAV approach
by: Cao, Ruonan, et al.
Published: (2025)

Deep Neural networks for solving high-dimensional parabolic partial differential equations
by: Zhang, Wenzhong, et al.
Published: (2026)

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

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

A backward Monte-Carlo method for solving parabolic partial differential equations
by: Carlsson, Johan
Published: (2000)

Physics informed learning of orthogonal features with applications in solving partial differential equations
by: Jia, Qianxing, et al.
Published: (2026)

Adaptive feature capture method for solving partial differential equations with near singular solutions
by: Deng, Yangtao, et al.
Published: (2025)

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

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

Optimal preconditioners for nonsymmetric multilevel Toeplitz systems with application to solving non-local evolutionary partial differential equations
by: Huang, Yuan-Yuan, et al.
Published: (2024)

Annealed adaptive importance sampling method in PINNs for solving high dimensional partial differential equations
by: Zhang, Zhengqi, et al.
Published: (2024)

A power series method for solving ordinary and partial differentials equations motivated by domain growth
by: Ross, Robert
Published: (2019)

Unconditionally energy stable IEQ-FEMs for the Cahn-Hilliard equation and Allen-Cahn equation
by: Chen, Yaoyao, et al.
Published: (2024)

Variational operator learning: A unified paradigm marrying training neural operators and solving partial differential equations
by: Xu, Tengfei, et al.
Published: (2023)

DD-DeepONet: Domain decomposition and DeepONet for solving partial differential equations in three application scenarios
by: Yang, Bo, et al.
Published: (2025)

Inverse source problems for the stochastic wave equations
by: Huang, Yunqing, et al.
Published: (2025)

Sequential-in-time training of nonlinear parametrizations for solving time-dependent partial differential equations
by: Zhang, Huan, et al.
Published: (2024)

Enhanced gradient recovery-based a posteriori error estimator and adaptive finite element method for elliptic equations
by: Liu, Ying, et al.
Published: (2025)

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

Algorithms based on DQM with new sets of base functions for solving parabolic partial differential equations in $(2+1)$ dimension
by: Singh, Brajesh Kumar, et al.
Published: (2016)

Learning by solving differential equations
by: Dherin, Benoit, et al.
Published: (2025)

Weights initialization of neural networks for function approximation
by: Hu, Xinwen, et al.
Published: (2025)

Adaptive meshfree approximation for linear elliptic partial differential equations with PDE-greedy kernel methods
by: Wenzel, Tizian, et al.
Published: (2022)

An Isogeometric Tearing and Interconnecting (IETI) method for solving high order partial differential equations over planar multi-patch geometries
by: Kapl, Mario, et al.
Published: (2025)

Meshing method to build a centrosymmetric matrix to solve partial differential equations on an irreducible domain including a planar symmetry
by: Thuillier, T.
Published: (2025)

Optimal Prediction for Hamiltonian partial differential equations
by: Chorin, A. J., et al.
Published: (1999)

Annealing-based approach to solving partial differential equations
by: Kudo, Kazue
Published: (2024)

High Accuracy Techniques Based Adaptive Finite Element Methods for Elliptic PDEs
by: Xiao, Jingjing, et al.
Published: (2025)

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

Approximating partial differential equations without boundary conditions
by: Bonito, Andrea, et al.
Published: (2024)