Deep Finite Volume Method for Partial Differential Equations
Fuente:
arXiv
Saved in:
| Main Authors: | Cen, Jianhuan, Zou, Qingsong |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Finite Expression Method for Solving High-Dimensional Partial Differential Equations
by: Liang, Senwei, et al.
Published: (2022)
by: Liang, Senwei, et al.
Published: (2022)
An Unconstrained Formulation of Some Constrained Partial Differential Equations and its Application to Finite Neuron Methods
by: Jia, Jiwei, et al.
Published: (2024)
by: Jia, Jiwei, et al.
Published: (2024)
Solving High-Dimensional Partial Integral Differential Equations: The Finite Expression Method
by: Hardwick, Gareth, et al.
Published: (2024)
by: Hardwick, Gareth, et al.
Published: (2024)
Finite Expression Method with TranNet-based Function Learning for High-Dimensional Partial Differential Equations
by: Huynh, Phuoc-Toan, et al.
Published: (2026)
by: Huynh, Phuoc-Toan, et al.
Published: (2026)
Physics-embedded Fourier Neural Network for Partial Differential Equations
by: Xu, Qingsong, et al.
Published: (2024)
by: Xu, Qingsong, et al.
Published: (2024)
Reduced Krylov Basis Methods for Parametric Partial Differential Equations
by: Li, Yuwen, et al.
Published: (2024)
by: Li, Yuwen, et al.
Published: (2024)
Weak Random Feature Method for Solving Partial Differential Equations
by: Kuvakin, Mikhail, et al.
Published: (2025)
by: Kuvakin, Mikhail, et al.
Published: (2025)
A Multi-Level Deep Framework for Deep Solvers of Partial Differential Equations
by: Yang, Yu, et al.
Published: (2026)
by: Yang, Yu, et al.
Published: (2026)
An Unsupervised Network Architecture Search Method for Solving Partial Differential Equations
by: Li, Qing, et al.
Published: (2025)
by: Li, Qing, et al.
Published: (2025)
Adaptive Ch Method with Local Coupled Multiquadrics for Solving Partial Differential Equations
by: Seleit, Ahmed E.
Published: (2025)
by: Seleit, Ahmed E.
Published: (2025)
Hybrid Surrogate Models: Circumventing Gibbs Phenomenon for Partial Differential Equations with Finite Shock-Type Discontinuities
by: Cardona, Juan-Esteban Suarez, et al.
Published: (2024)
by: Cardona, Juan-Esteban Suarez, et al.
Published: (2024)
Physics-informed Multiresolution Wavelet Neural Network Method for Solving Partial Differential Equations
by: Han, Feng, et al.
Published: (2025)
by: Han, Feng, et al.
Published: (2025)
Least-Squares Neural Network (LSNN) Method for Scalar Hyperbolic Partial Differential Equations
by: Liu, Min, et al.
Published: (2026)
by: Liu, Min, et al.
Published: (2026)
Spacetime Wavelet Method for the Solution of Nonlinear Partial Differential Equations
by: Cochran, Cody D., et al.
Published: (2025)
by: Cochran, Cody D., et al.
Published: (2025)
A New Asymptotic-Preserving Dual Formulation Finite-Volume Method for the Compressible Euler Equations
by: Chertock, Alina, et al.
Published: (2026)
by: Chertock, Alina, et al.
Published: (2026)
Continuation for Nonlinear Elliptic Partial Differential Equations Discretized by the Multiquadric Method
by: Fedoseyev, A. I., et al.
Published: (1998)
by: Fedoseyev, A. I., et al.
Published: (1998)
Adaptive Basis-inspired Deep Neural Network for Solving Partial Differential Equations with Localized Features
by: Li, Ke, et al.
Published: (2024)
by: Li, Ke, et al.
Published: (2024)
Domain Decomposition Subspace Neural Network Method for Solving Linear and Nonlinear Partial Differential Equations
by: Fu, Zhenxing, et al.
Published: (2025)
by: Fu, Zhenxing, et al.
Published: (2025)
Adaptive Finite Element Method for a Nonlinear Helmholtz Equation with High Wave Number
by: Jiang, Run, et al.
Published: (2024)
by: Jiang, Run, et al.
Published: (2024)
PDEformer-2: A Versatile Foundation Model for Two-Dimensional Partial Differential Equations
by: Ye, Zhanhong, et al.
Published: (2025)
by: Ye, Zhanhong, et al.
Published: (2025)
Fine-Tuning DeepONets to Enhance Physics-informed Neural Networks for solving Partial Differential Equations
by: Wu, Sidi
Published: (2024)
by: Wu, Sidi
Published: (2024)
Solving Partial Differential Equations Using Artificial Neural Networks
by: Uriarte, Carlos
Published: (2024)
by: Uriarte, Carlos
Published: (2024)
DeepONet for Solving Nonlinear Partial Differential Equations with Physics-Informed Training
by: Yang, Yahong
Published: (2024)
by: Yang, Yahong
Published: (2024)
An Overview on Machine Learning Methods for Partial Differential Equations: from Physics Informed Neural Networks to Deep Operator Learning
by: Gonon, Lukas, et al.
Published: (2024)
by: Gonon, Lukas, et al.
Published: (2024)
A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions
by: Zhang, Yaqin, et al.
Published: (2025)
by: Zhang, Yaqin, et al.
Published: (2025)
Solving Partial Differential Equations on Evolving Surfaces via the Constrained Least-Squares and Grid-Based Particle Method
by: Ying, Ningchen, et al.
Published: (2024)
by: Ying, Ningchen, et al.
Published: (2024)
A Finite Volume Scheme for Savage-Hutter Equations on Unstructured Grids
by: Li, Ruo, et al.
Published: (2019)
by: Li, Ruo, et al.
Published: (2019)
Fourth- and Higher-Order Semi-Lagrangian Finite Volume Methods for the Two-dimensional Advection Equation on Arbitrarily Complex Domains
by: Sun, Yunxia, et al.
Published: (2025)
by: Sun, Yunxia, et al.
Published: (2025)
Analysis of Hybrid MC/Deterministic Methods for Transport Problems Based on Low-Order Equations Discretized by Finite Volume Schemes
by: Novellino, Vincent N., et al.
Published: (2024)
by: Novellino, Vincent N., et al.
Published: (2024)
Strong Stability Preservation for Stochastic Partial Differential Equations
by: Woodfield, James
Published: (2024)
by: Woodfield, James
Published: (2024)
Generalized Transferable Neural Networks for Steady-State Partial Differential Equations
by: Cheng, Tao, et al.
Published: (2026)
by: Cheng, Tao, et al.
Published: (2026)
Encoded Forward Backward Stochastic Neural Network for High-Dimensional Backward Stochastic Differential Equations and Parabolic Partial Differential Equations
by: Zhang, Zhao, et al.
Published: (2026)
by: Zhang, Zhao, et al.
Published: (2026)
Structure-informed operator learning for parabolic Partial Differential Equations
by: Benth, Fred Espen, et al.
Published: (2024)
by: Benth, Fred Espen, et al.
Published: (2024)
Scale-Consistent Learning for Partial Differential Equations
by: Li, Zongyi, et al.
Published: (2025)
by: Li, Zongyi, et al.
Published: (2025)
Trigonometric-Interpolation Based Approach for Second-Order Volterra Integro-Differential Equations
by: Zou, Xiaorong
Published: (2025)
by: Zou, Xiaorong
Published: (2025)
Observations on Recurrent Loss in the Neural Network Model of a Partial Differential Equation: the Advection-Diffusion Equation
by: Reeger, Jonah A.
Published: (2025)
by: Reeger, Jonah A.
Published: (2025)
Model Order Reduction Techniques for the Stochastic Finite Volume Method
by: Qu, Ray, et al.
Published: (2025)
by: Qu, Ray, et al.
Published: (2025)
The Tensor-Train Stochastic Finite Volume Method for Uncertainty Quantification
by: Walton, Steven, et al.
Published: (2024)
by: Walton, Steven, et al.
Published: (2024)
An Asymptotic-Preserving Dual Formulation Finite-Volume Method for the Thermal Rotating Shallow Water Equations
by: Chertock, Alina, et al.
Published: (2026)
by: Chertock, Alina, et al.
Published: (2026)
Data-driven Methods for Delay Differential Equations
by: Breda, Dimitri, et al.
Published: (2025)
by: Breda, Dimitri, et al.
Published: (2025)
Similar Items
-
Finite Expression Method for Solving High-Dimensional Partial Differential Equations
by: Liang, Senwei, et al.
Published: (2022) -
An Unconstrained Formulation of Some Constrained Partial Differential Equations and its Application to Finite Neuron Methods
by: Jia, Jiwei, et al.
Published: (2024) -
Solving High-Dimensional Partial Integral Differential Equations: The Finite Expression Method
by: Hardwick, Gareth, et al.
Published: (2024) -
Finite Expression Method with TranNet-based Function Learning for High-Dimensional Partial Differential Equations
by: Huynh, Phuoc-Toan, et al.
Published: (2026) -
Physics-embedded Fourier Neural Network for Partial Differential Equations
by: Xu, Qingsong, et al.
Published: (2024)