Saved in:
| Main Authors: | Bonito, Andrea, DeVore, Ronald, Petrova, Guergana, Siegel, Jonathan W. |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.09217 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
A note on best n-term approximation for generalized Wiener classes
by: DeVore, Ronald, et al.
Published: (2024)
by: DeVore, Ronald, et al.
Published: (2024)
Optimal Recovery Meets Minimax Estimation
by: DeVore, Ronald, et al.
Published: (2025)
by: DeVore, Ronald, et al.
Published: (2025)
Weighted variation spaces and approximation by shallow ReLU networks
by: DeVore, Ronald, et al.
Published: (2023)
by: DeVore, Ronald, et al.
Published: (2023)
A priori error analysis of consistent PINNs for parabolic PDEs
by: Mishra, Shiv, et al.
Published: (2025)
by: Mishra, Shiv, et al.
Published: (2025)
Sharp Convergence Rates for Matching Pursuit
by: Klusowski, Jason M., et al.
Published: (2023)
by: Klusowski, Jason M., et al.
Published: (2023)
Incorporating Local Hölder Regularity into PINNs for Solving Elliptic PDEs
by: Zhou, Qirui, et al.
Published: (2025)
by: Zhou, Qirui, et al.
Published: (2025)
Approximating partial differential equations without boundary conditions
by: Bonito, Andrea, et al.
Published: (2024)
by: Bonito, Andrea, et al.
Published: (2024)
A near-optimal recovery algorithm for the Stokes equations with incomplete information on the boundary conditions
by: Bonito, Andrea, et al.
Published: (2026)
by: Bonito, Andrea, et al.
Published: (2026)
Stability in Training PINNs for Stiff PDEs: Why Initial Conditions Matter
by: Hao, Baoli, et al.
Published: (2024)
by: Hao, Baoli, et al.
Published: (2024)
ALM-PINNs Algorithms for Solving Nonlinear PDEs and Parameter Inversion Problems
by: Tian, Yimeng, et al.
Published: (2024)
by: Tian, Yimeng, et al.
Published: (2024)
Consistent CutPINNs for Elliptic PDEs on Curved Level-Set Domains
by: Singh, Maneesh Kumar
Published: (2026)
by: Singh, Maneesh Kumar
Published: (2026)
Deep learning methods for stochastic Galerkin approximations of elliptic random PDEs
by: Musco, Fabio, et al.
Published: (2024)
by: Musco, Fabio, et al.
Published: (2024)
One-Shot Transfer Learning for Nonlinear PDEs with Perturbative PINNs
by: Auroy, Samuel, et al.
Published: (2025)
by: Auroy, Samuel, et al.
Published: (2025)
Constructions of bounded solutions of $div\, {\mathbf u}=f$ in critical spaces
by: Cohen, Albert, et al.
Published: (2024)
by: Cohen, Albert, et al.
Published: (2024)
Convergence Properties of PINNs for the Navier-Stokes-Cahn-Hilliard System
by: Buck, Kevin, et al.
Published: (2025)
by: Buck, Kevin, et al.
Published: (2025)
Convergence Analysis of PINNs for Fractional Diffusion Equations in Bounded Domains
by: Abdo, Elie, et al.
Published: (2026)
by: Abdo, Elie, et al.
Published: (2026)
High precision PINNs in unbounded domains: application to singularity formulation in PDEs
by: Wang, Yixuan, et al.
Published: (2025)
by: Wang, Yixuan, et al.
Published: (2025)
Deflation-PINNs: Learning Multiple Solutions for PDEs and Landau-de Gennes
by: Disarò, Sean, et al.
Published: (2026)
by: Disarò, Sean, et al.
Published: (2026)
Finite Element Methods for the Laplace-Beltrami Operator
by: Bonito, Andrea, et al.
Published: (2019)
by: Bonito, Andrea, et al.
Published: (2019)
A PINNs approach for the computation of eigenvalues in elliptic problems
by: Bonder, Julian Fernandez, et al.
Published: (2025)
by: Bonder, Julian Fernandez, et al.
Published: (2025)
IG-PINNs: Interface-gated physics-informed neural networks for solving elliptic interface problems
by: Zheng, Jiachun, et al.
Published: (2025)
by: Zheng, Jiachun, et al.
Published: (2025)
Alleviating missing boundary conditions in elliptic partial differential equations using interior point measurements
by: Bonito, Andrea, et al.
Published: (2025)
by: Bonito, Andrea, et al.
Published: (2025)
PINNs error estimates for nonlinear equations in $\mathbb{R}$-smooth Banach spaces
by: Gao, Jiexing, et al.
Published: (2023)
by: Gao, Jiexing, et al.
Published: (2023)
Finite element error analysis for elliptic parameter identification with power-type nonlinearity
by: Chen, De-Han, et al.
Published: (2026)
by: Chen, De-Han, et al.
Published: (2026)
Adaptive Finite Element Methods
by: Bonito, Andrea, et al.
Published: (2024)
by: Bonito, Andrea, et al.
Published: (2024)
Beyond Derivative Pathology of PINNs: Variable Splitting Strategy with Convergence Analysis
by: Park, Yesom, et al.
Published: (2024)
by: Park, Yesom, et al.
Published: (2024)
Multilevel lattice-based kernel approximation for elliptic PDEs with random coefficients
by: Gilbert, Alexander D., et al.
Published: (2025)
by: Gilbert, Alexander D., et al.
Published: (2025)
Comparison of Trefftz-Based PINNs and Standard PINNs Focusing on Structure Preservation
by: Koyamada, Koji
Published: (2026)
by: Koyamada, Koji
Published: (2026)
Learning local Dirichlet-to-Neumann maps of nonlinear elliptic PDEs with rough coefficients
by: Boutilier, Miranda, et al.
Published: (2024)
by: Boutilier, Miranda, et al.
Published: (2024)
Cost-optimal adaptive FEM with linearization and algebraic solver for semilinear elliptic PDEs
by: Brunner, Maximilian, et al.
Published: (2024)
by: Brunner, Maximilian, et al.
Published: (2024)
Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs
by: Bringmann, Philipp, et al.
Published: (2023)
by: Bringmann, Philipp, et al.
Published: (2023)
Certified machine learning: Rigorous a posteriori error bounds for PDE defined PINNs
by: Hillebrecht, Birgit, et al.
Published: (2022)
by: Hillebrecht, Birgit, et al.
Published: (2022)
Convergence of the generalization error for deep gradient flow methods for PDEs
by: Liu, Chenguang, et al.
Published: (2025)
by: Liu, Chenguang, et al.
Published: (2025)
DDC-PINNs: A Predictor-Corrector Approach Based on Neural Network-Driven Domain Decomposition and Classical ODE Solvers for Time-Dependent PDEs
by: Yang, Xun, et al.
Published: (2025)
by: Yang, Xun, et al.
Published: (2025)
Self-consistent bounds method for dissipative PDEs
by: Wilczak, Daniel, et al.
Published: (2025)
by: Wilczak, Daniel, et al.
Published: (2025)
Physics-informed neural networks (PINNs) for numerical model error approximation and superresolution
by: Zhuang, Bozhou, et al.
Published: (2024)
by: Zhuang, Bozhou, et al.
Published: (2024)
A posteriori error analysis of the virtual element method for second-order quasilinear elliptic PDEs
by: Congreve, Scott, et al.
Published: (2024)
by: Congreve, Scott, et al.
Published: (2024)
Convergence analysis of a balancing domain decomposition method for an elliptic optimal control problem with HDG discretizations
by: Liu, Sijing, et al.
Published: (2025)
by: Liu, Sijing, et al.
Published: (2025)
Gaussian radial basis functions collocation for fractional PDEs: methodology and error analysis
by: Tian, Xiaochuan, et al.
Published: (2023)
by: Tian, Xiaochuan, et al.
Published: (2023)
Accelerating the convergence of Newton's method for nonlinear elliptic PDEs using Fourier neural operators
by: Aghili, Joubine, et al.
Published: (2024)
by: Aghili, Joubine, et al.
Published: (2024)
Similar Items
-
A note on best n-term approximation for generalized Wiener classes
by: DeVore, Ronald, et al.
Published: (2024) -
Optimal Recovery Meets Minimax Estimation
by: DeVore, Ronald, et al.
Published: (2025) -
Weighted variation spaces and approximation by shallow ReLU networks
by: DeVore, Ronald, et al.
Published: (2023) -
A priori error analysis of consistent PINNs for parabolic PDEs
by: Mishra, Shiv, et al.
Published: (2025) -
Sharp Convergence Rates for Matching Pursuit
by: Klusowski, Jason M., et al.
Published: (2023)