Fourier heuristic PINNs to solve the biharmonic equations based on its coupled scheme
Fuente:
arXiv
Saved in:
| Main Authors: | Huang, Yujia, Wu, Xi'an Li ansd Jinran |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Augmented physics informed extreme learning machine to solve the biharmonic equations via Fourier expansions
by: Li, Xi'an, et al.
Published: (2023)
by: Li, Xi'an, et al.
Published: (2023)
Normalized Fourier-induced PINN method for solving the wave propagation equation in a non-unitized domain over an extended time range
by: Ma, Jichao, et al.
Published: (2025)
by: Ma, Jichao, et al.
Published: (2025)
A multi-mesh adaptive finite element method for solving the Gross-Pitaevskii equation
by: Li, Mingzhe, et al.
Published: (2026)
by: Li, Mingzhe, et al.
Published: (2026)
A GPU-accelerated Cartesian grid method is proposed for solving the heat, wave, and Schrodinger equations on irregular domains
by: Tan, Liwei, et al.
Published: (2024)
by: Tan, Liwei, et al.
Published: (2024)
Non-periodic Fourier propagation algorithms for partial differential equations
by: Hatharasinghe, Channa, et al.
Published: (2025)
by: Hatharasinghe, Channa, et al.
Published: (2025)
Numerical solution of the boundary value problem of elliptic equation by Levi function scheme
by: Pan, Jinchao, et al.
Published: (2024)
by: Pan, Jinchao, et al.
Published: (2024)
Fourth-order compact finite difference schemes for solving biharmonic equations with Dirichlet boundary conditions
by: Pan, Kejia, et al.
Published: (2024)
by: Pan, Kejia, et al.
Published: (2024)
Deep Kinetic JKO schemes for Vlasov-Fokker-Planck Equations
by: Lee, Wonjun, et al.
Published: (2026)
by: Lee, Wonjun, et al.
Published: (2026)
Spectral integrated neural networks (SINNs) for solving forward and inverse dynamic problems
by: Qiu, Lin, et al.
Published: (2024)
by: Qiu, Lin, et al.
Published: (2024)
Entropy stable numerical schemes for divergence diminishing Chew, Goldberger & Low equations for plasma flows
by: Singh, Chetan, et al.
Published: (2026)
by: Singh, Chetan, et al.
Published: (2026)
PFWNN: A deep learning method for solving forward and inverse problems of phase-field models
by: Bao, Gang, et al.
Published: (2024)
by: Bao, Gang, et al.
Published: (2024)
An efficient numerical method for surface acoustic wave equations over unbounded domains
by: Huang, Jianguo, et al.
Published: (2025)
by: Huang, Jianguo, et al.
Published: (2025)
An asymptotic preserving kinetic scheme for the M1 model of linear transport
by: Jean-Luc, Feugeas, et al.
Published: (2023)
by: Jean-Luc, Feugeas, et al.
Published: (2023)
An efficient probabilistic scheme for the exit time probability of $α$-stable Lévy process
by: Yang, Minglei, et al.
Published: (2026)
by: Yang, Minglei, et al.
Published: (2026)
Double Fourier Sphere Methods with Low Rank Approximation for Block Copolymer Systems on Sphere
by: Luo, Wangbo, et al.
Published: (2025)
by: Luo, Wangbo, et al.
Published: (2025)
A particle-in-Fourier method with semi-discrete energy conservation for non-periodic boundary conditions
by: Shen, Changxiao Nigel, et al.
Published: (2024)
by: Shen, Changxiao Nigel, et al.
Published: (2024)
Numerical integration of coupled Korteweg-de Vries System
by: Halim, A. A., et al.
Published: (2002)
by: Halim, A. A., et al.
Published: (2002)
A model order reduction based adaptive parareal method for time-dependent partial differential equations
by: Dai, Xiaoying, et al.
Published: (2026)
by: Dai, Xiaoying, et al.
Published: (2026)
IMEX methods for thin-film equations and Cahn-Hilliard equations with variable mobility
by: Orizaga, Saulo, et al.
Published: (2024)
by: Orizaga, Saulo, et al.
Published: (2024)
A stable and fast method for solving multibody scattering problems via the method of fundamental solutions
by: Cai, Yunhui, et al.
Published: (2026)
by: Cai, Yunhui, et al.
Published: (2026)
An explicit, energy-conserving particle-in-cell scheme for relativistic plasmas
by: Ricketson, Lee, et al.
Published: (2026)
by: Ricketson, Lee, et al.
Published: (2026)
On removing orders from amplitude equations
by: Juhasz, David, et al.
Published: (2025)
by: Juhasz, David, et al.
Published: (2025)
A mimetic discretization of Westervelt's equation
by: Barham, William, et al.
Published: (2024)
by: Barham, William, et al.
Published: (2024)
A coupled finite and boundary spectral element method for linear water-wave propagation problems
by: Cerrato, Antonio, et al.
Published: (2025)
by: Cerrato, Antonio, et al.
Published: (2025)
Singular layer PINN methods for Burgers' equation
by: Chang, Teng-Yuan, et al.
Published: (2024)
by: Chang, Teng-Yuan, et al.
Published: (2024)
Numerical inverse scattering transform for the derivative nonlinear Schrodinger equation
by: Cui, Shikun, et al.
Published: (2023)
by: Cui, Shikun, et al.
Published: (2023)
Boundary element methods for the magnetic field integral equation on polyhedra
by: Le, Van Chien, et al.
Published: (2024)
by: Le, Van Chien, et al.
Published: (2024)
Fast Fourier Transform periodic interpolation method for superposition sums in a periodic unit cell
by: Ai, Fangzhou, et al.
Published: (2023)
by: Ai, Fangzhou, et al.
Published: (2023)
Field conserving adaptive mesh refinement (AMR) scheme on massively parallel adaptive octree meshes
by: Saurabh, Kumar, et al.
Published: (2026)
by: Saurabh, Kumar, et al.
Published: (2026)
Absorbing boundary conditions for the Helmholtz equation using Gauss-Legendre quadrature reduced integrations
by: Sagiyama, Koki
Published: (2023)
by: Sagiyama, Koki
Published: (2023)
The role of interface boundary conditions and sampling strategies for Schwarz-based coupling of projection-based reduced order models
by: Wentland, Christopher R., et al.
Published: (2024)
by: Wentland, Christopher R., et al.
Published: (2024)
Fourier transform-based linear combination of Hamiltonian simulation
by: Huang, Xi, et al.
Published: (2025)
by: Huang, Xi, et al.
Published: (2025)
Data Generation-based Operator Learning for Solving Partial Differential Equations on Unbounded Domains
by: Wang, Jihong, et al.
Published: (2023)
by: Wang, Jihong, et al.
Published: (2023)
Simple numerical scheme for solving the impregnation equations in a porous pellet
by: Peskov, N. V., et al.
Published: (2025)
by: Peskov, N. V., et al.
Published: (2025)
A boundary integral equation method for wave scattering in periodic structures via the Floquet-Bloch transform
by: Lu, Wangtao, et al.
Published: (2025)
by: Lu, Wangtao, et al.
Published: (2025)
A dual-field structure-preserving mixed finite element discretization for incompressible Hall MHD equations
by: Zhang, Yi
Published: (2026)
by: Zhang, Yi
Published: (2026)
A deterministic particle method for the porous media equation
by: Amassad, Amina, et al.
Published: (2025)
by: Amassad, Amina, et al.
Published: (2025)
When surface evolution meets Fokker-Planck equation: a novel tangential velocity model for uniform parametrization
by: Pan, Jiangong, et al.
Published: (2025)
by: Pan, Jiangong, et al.
Published: (2025)
An automatic approach to develop the fourth-order and L^2-stable lattice Boltzmann model for diagonal-anisotropic diffusion equations
by: Chen, Ying, et al.
Published: (2025)
by: Chen, Ying, et al.
Published: (2025)
A stable decoupled perfectly matched layer for the 3D wave equation using the nodal discontinuous Galerkin method
by: Feriani, Sophia Julia, et al.
Published: (2024)
by: Feriani, Sophia Julia, et al.
Published: (2024)
Similar Items
-
Augmented physics informed extreme learning machine to solve the biharmonic equations via Fourier expansions
by: Li, Xi'an, et al.
Published: (2023) -
Normalized Fourier-induced PINN method for solving the wave propagation equation in a non-unitized domain over an extended time range
by: Ma, Jichao, et al.
Published: (2025) -
A multi-mesh adaptive finite element method for solving the Gross-Pitaevskii equation
by: Li, Mingzhe, et al.
Published: (2026) -
A GPU-accelerated Cartesian grid method is proposed for solving the heat, wave, and Schrodinger equations on irregular domains
by: Tan, Liwei, et al.
Published: (2024) -
Non-periodic Fourier propagation algorithms for partial differential equations
by: Hatharasinghe, Channa, et al.
Published: (2025)