Copertina

Deep vs. Shallow: Benchmarking Physics-Informed Neural Architectures on the Biharmonic Equation

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	Srinivasan, Akshay Govind, Dwivedi, Vikas, Srinivasan, Balaji
Natura:	Preprint
Pubblicazione:	2025
Soggetti:	Computational Engineering, Finance, and Science Emerging Technologies Machine Learning G.1.7; G.1.8; G.1.10; J.2
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

Learning Where the Physics Is: Probabilistic Adaptive Sampling for Stiff PDEs
di: Srinivasan, Akshay Govind, et al.
Pubblicazione: (2026)

Towards Fast Option Pricing PDE Solvers Powered by PIELM
di: Srinivasan, Akshay Govind, et al.
Pubblicazione: (2025)

Pricing and Hedging Strategies for Cross-Currency Equity Protection Swaps
di: Rutkowski, Marek, et al.
Pubblicazione: (2024)

Second-order exponential splittings in the presence of unbounded and time-dependent operators: construction and convergence
di: Kropielnicka, Karolina, et al.
Pubblicazione: (2023)

GridapROMs.jl: Efficient reduced order modelling in the Julia programming language
di: Mueller, Nicholas, et al.
Pubblicazione: (2025)

Mathematical Modeling of Option Pricing with an Extended Black-Scholes Framework
di: Nayak, Nikhil Shivakumar
Pubblicazione: (2025)

Augmenting MRI scan data with real-time predictions of glioblastoma brain tumor evolution using faster exponential time integrators
di: Pabisz, Magdalena, et al.
Pubblicazione: (2024)

A Structure-Preserving PML-Domain-Embedding Method for Acoustic Wave Scattering by Moving Objects
di: Gu, Xuelong, et al.
Pubblicazione: (2026)

Physics-Informed Deep Inverse Operator Networks for Solving PDE Inverse Problems
di: Cho, Sung Woong, et al.
Pubblicazione: (2024)

A multiphase cubic MARS method for fourth- and higher-order interface tracking of two or more materials with arbitrary topology and geometry
di: Tan, Yan, et al.
Pubblicazione: (2025)

Neural Fractional Differential Equations
di: Coelho, C., et al.
Pubblicazione: (2024)

A semi-Lagrangian method for the direct numerical simulation of crystallization and precipitation at the pore scale
di: Perez, Sarah, et al.
Pubblicazione: (2024)

Covariance Matrix Analysis for Optimal Portfolio Selection
di: Keith, Lim Hao Shen
Pubblicazione: (2024)

Physics Informed Neural Network Code for 2D Transient Problems (PINN-2DT) Compatible with Google Colab
di: Maczuga, Paweł, et al.
Pubblicazione: (2023)

Conjugate Gradient Methods are Not Efficient: Experimental Study of the Locality Limitation
di: Rüde, Ulrich
Pubblicazione: (2026)

Hadamard product nonlinear formulation of Galerkin and finite element methods
di: Chen, W.
Pubblicazione: (1999)

The application of special matrix product to differential quadrature solution of geometrically nonlinear bending of orthotropic rectangular plates
di: Chen, W., et al.
Pubblicazione: (1999)

Learning Hamiltonian flows from numerical integrators and examples
di: Fang, Rui, et al.
Pubblicazione: (2025)

A Least-Squares-Based Neural Network (LS-Net) for Solving Linear Parametric PDEs
di: Baharlouei, Shima, et al.
Pubblicazione: (2024)

Some addenda on distance function wavelets
di: Chen, W.
Pubblicazione: (2002)

The Study on the Nonlinear Computations of the DQ and DC Methods
di: Chen, W., et al.
Pubblicazione: (1999)

Several new domain-type and boundary-type numerical discretization schemes with radial basis function
di: Chen, W.
Pubblicazione: (2001)

The Structure of Weighting Coefficient Matrices of Harmonic Differential Quadrature and Its Applications
di: Chen, W., et al.
Pubblicazione: (1999)

Jacobian matrix: a bridge between linear and nonlinear polynomial-only problems
di: Chen, W.
Pubblicazione: (1999)

Errata and supplements to: Orthonormal RBF Wavelet and Ridgelet-like Series and Transforms for High-Dimensional Problems
di: Chen, W.
Pubblicazione: (2001)

New RBF collocation methods and kernel RBF with applications
di: Chen, W.
Pubblicazione: (2001)

Analytical solution of transient scalar wave and diffusion problems of arbitrary dimensionality and geometry by RBF wavelet series
di: Chen, W.
Pubblicazione: (2001)

Generalized linearization in nonlinear modeling of data
di: Chen, W.
Pubblicazione: (1999)

A new definition of the fractional Laplacian
di: Chen, W.
Pubblicazione: (2002)

Convolutional-neural-operator-based transfer learning for solving PDEs
di: Fan, Peng, et al.
Pubblicazione: (2025)

A Classical-Quantum Hybrid Architecture for Physics-Informed Neural Networks
di: Lantigua, Said, et al.
Pubblicazione: (2025)

HS-FNO: History-Space Fourier Neural Operator for Non-Markovian Partial Differential Equations
di: Shikhman, Lennon J.
Pubblicazione: (2026)

Wildfires Quasi-Implicit Alternative-Direction Simulations using Isogeometric Finite Element Method
di: Wasieleski, Juliusz, et al.
Pubblicazione: (2026)

Collocation-based Robust Variational Physics-Informed Neural Networks (CRVPINN)
di: Łoś, Marcin, et al.
Pubblicazione: (2024)

Analysis and improvement of a semi-Lagrangian exponential scheme for the shallow-water equations on the rotating sphere
di: Steinstraesser, João Guilherme Caldas, et al.
Pubblicazione: (2024)

A Robust Solution Procedure for Hyperelastic Solids with Large Boundary Deformation
di: Shontz, Suzanne M., et al.
Pubblicazione: (2006)

Asymptotically Compatible Fractional Grönwall Inequality and its Applications
di: Yin, Daopeng, et al.
Pubblicazione: (2024)

A data driven Koopman-Schur decomposition for computational analysis of nonlinear dynamics
di: Drmač, Zlatko, et al.
Pubblicazione: (2023)

Python library supporting Discrete Variational Formulations and training solutions with Collocation-based Robust Variational Physics Informed Neural Networks (DVF-CRVPINN)
di: Służalec, Tomasz, et al.
Pubblicazione: (2026)

Norm-Stabilized Imaginary-Time Evolution via Feedback Control
di: Savva, Stylianos
Pubblicazione: (2025)