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Papers Differential equation solution

“Differential equation solution” 태그가 달린 논문 5편 · 필터 해제

Hybrid Time-Domain Behavior Model Based on Neural Differential Equations and RNNs

2025-03-28 · Zenghui Chang, Yang Zhang, Hu Tan, Hong Cai Chen

Nonlinear dynamics system identification is crucial for circuit emulation. Traditional continuous-time domain modeling approaches have limitations in fitting capability and computational efficiency when used for modeling…

Computational EfficiencyDifferential equation solution

Neuro-Symbolic AI for Analytical Solutions of Differential Equations

2025-02-03 · Orestis Oikonomou, Levi Lingsch, Dana Grund, Siddhartha Mishra 외

Analytical solutions of differential equations offer exact insights into fundamental behaviors of physical processes. Their application, however, is limited as finding these solutions is difficult. To overcome this limit…

Differential equation solution

Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation using Compact Implicit Layers

2023-06-30 · Bar Lerer, Ido Ben-Yair, Eran Treister

We present a deep learning-based iterative approach to solve the discrete heterogeneous Helmholtz equation for high wavenumbers. Combining classical iterative multigrid solvers and convolutional neural networks (CNNs) vi…

Differential equation solution

Locally Regularized Neural Differential Equations: Some Black Boxes Were Meant to Remain Closed!

2023-03-03 · Avik Pal, Alan Edelman, Chris Rackauckas

Implicit layer deep learning techniques, like Neural Differential Equations, have become an important modeling framework due to their ability to adapt to new problems automatically. Training a neural differential equatio…

Differential equation solution

Automated differential equation solver based on the parametric approximation optimization

2022-05-11 · Alexander Hvatov, Tatiana Tikhonova

The numerical methods for differential equation solution allow obtaining a discrete field that converges towards the solution if the method is applied to the correct problem. Nevertheless, the numerical methods have the …

Differential equation solution
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