Singular layer PINN methods for Burgers' equation
Fuente:
arXiv
Saved in:
| Main Authors: | Chang, Teng-Yuan, Gie, Gung-Min, Hong, Youngjoon, Jung, Chang-Yeol |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Singular Layer Physics-Informed Neural Network Method for Convection-Dominated Boundary Layer Problems in Two Dimensions
by: Gie, Gung-Min, et al.
Published: (2023)
by: Gie, Gung-Min, et al.
Published: (2023)
Inviscid Burgers as a degenerate elliptic problem
by: Kouskiya, Uditnarayan, et al.
Published: (2024)
by: Kouskiya, Uditnarayan, et al.
Published: (2024)
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)
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)
A layer decomposition method for multi-layer elastic contact systems with interlayer Tresca friction
by: Zhang, Zhizhuo, et al.
Published: (2024)
by: Zhang, Zhizhuo, et al.
Published: (2024)
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)
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)
A deterministic particle method for the porous media equation
by: Amassad, Amina, et al.
Published: (2025)
by: Amassad, Amina, et al.
Published: (2025)
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)
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)
Equation Discovery, Parametric Simulation, and Optimization Using the Physics-Informed Neural Network (PINN) Method for the Heat Conduction Problem
by: Ghaderi, Ehsan, et al.
Published: (2025)
by: Ghaderi, Ehsan, et al.
Published: (2025)
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)
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)
An asymptotic-preserving method for the three-temperature radiative transfer model
by: Li, Ruo, et al.
Published: (2024)
by: Li, Ruo, et al.
Published: (2024)
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)
A hyperboloidal method for numerical simulations of multidimensional nonlinear wave equations: nonlinear tails
by: Rinne, Oliver
Published: (2025)
by: Rinne, Oliver
Published: (2025)
Random ordinate method for mitigating the ray effect in radiative transport equation simulations
by: Li, Lei, et al.
Published: (2024)
by: Li, Lei, et al.
Published: (2024)
Mixed Finite Element Method for Multi-layer Elastic Contact Systems
by: Zhang, Zhizhuo, et al.
Published: (2024)
by: Zhang, Zhizhuo, et al.
Published: (2024)
A mimetic discretization of Westervelt's equation
by: Barham, William, et al.
Published: (2024)
by: Barham, William, et al.
Published: (2024)
On removing orders from amplitude equations
by: Juhasz, David, et al.
Published: (2025)
by: Juhasz, David, et al.
Published: (2025)
Extending the explicit constraint force method to inverse problems
by: Rowan, Conor
Published: (2025)
by: Rowan, Conor
Published: (2025)
Optimization-based method for conjugate heat transfer problems
by: Fang, Liang, et al.
Published: (2025)
by: Fang, Liang, et al.
Published: (2025)
Multipreconditioning with directional sweeping methods for high-frequency Helmholtz problems
by: Bootland, Niall, et al.
Published: (2024)
by: Bootland, Niall, et al.
Published: (2024)
An efficient stochastic particle method for high-dimensional nonlinear PDEs
by: Lei, Zhengyang, et al.
Published: (2023)
by: Lei, Zhengyang, et al.
Published: (2023)
Numerical inverse scattering transform for the derivative nonlinear Schrodinger equation
by: Cui, Shikun, et al.
Published: (2023)
by: Cui, Shikun, et al.
Published: (2023)
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)
Stabilization-free virtual element method for 2D third medium contact
by: Xu, Bing-Bing, et al.
Published: (2025)
by: Xu, Bing-Bing, et al.
Published: (2025)
Fourier heuristic PINNs to solve the biharmonic equations based on its coupled scheme
by: Huang, Yujia, et al.
Published: (2025)
by: Huang, Yujia, et al.
Published: (2025)
Preconditioning a hybridizable discontinuous Galerkin method for Navier-Stokes at high Reynolds number
by: Lindsay, Alexander D., et al.
Published: (2025)
by: Lindsay, Alexander D., et al.
Published: (2025)
Absorbing boundary conditions for the Helmholtz equation using Gauss-Legendre quadrature reduced integrations
by: Sagiyama, Koki
Published: (2023)
by: Sagiyama, Koki
Published: (2023)
Numerical Methods for Solving Nonlinearly Coupled Poisson Equations in Dual-Continuum Modeled Porous Electrodes
by: Wang, Yuhe, et al.
Published: (2025)
by: Wang, Yuhe, 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)
A direct sampling method based on the Green's function for time-dependent inverse scattering problems
by: Yu, Qingqing, et al.
Published: (2023)
by: Yu, Qingqing, et al.
Published: (2023)
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)
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)
A fully variational numerical method for structural topology optimization based on a Cahn-Hilliard model
by: Bell-Navas, Edmund, et al.
Published: (2025)
by: Bell-Navas, Edmund, et al.
Published: (2025)
A micromorphic-based artificial diffusion method for stabilized finite element approximation of convection-diffusion problems
by: Firooz, Soheil, et al.
Published: (2025)
by: Firooz, Soheil, 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)
Monostatic imaging of an extended target with MCMC sampling
by: Hong, Jiho, et al.
Published: (2023)
by: Hong, Jiho, et al.
Published: (2023)
Similar Items
-
Singular Layer Physics-Informed Neural Network Method for Convection-Dominated Boundary Layer Problems in Two Dimensions
by: Gie, Gung-Min, et al.
Published: (2023) -
Inviscid Burgers as a degenerate elliptic problem
by: Kouskiya, Uditnarayan, et al.
Published: (2024) -
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) -
PFWNN: A deep learning method for solving forward and inverse problems of phase-field models
by: Bao, Gang, et al.
Published: (2024) -
A layer decomposition method for multi-layer elastic contact systems with interlayer Tresca friction
by: Zhang, Zhizhuo, et al.
Published: (2024)