An Interpretable Approach to the Solutions of High-Dimensional Partial Differential Equations

L Cao, Y Liu, Z Wang, D Xu, K Ye, KC Tan… - Proceedings of the AAAI …, 2024 - ojs.aaai.org
In recent years, machine learning algorithms, especially deep learning, have shown
promising prospects in solving partial differential equations (PDEs). However, as the …

Adaptive residual refinement in an RBF finite difference scheme for 2D time-dependent problems

G Garmanjani, M Esmaeilbeigi, R Cavoretto - Computational and Applied …, 2024 - Springer
The current study introduces a fast and accurate method based on a novel adaptive
meshfree technique to solve time-dependent partial differential equations with solutions …

Innovative Approaches to Modeling Economic Dynamics: Taylor Matrix Methods in Solving Budget Constraint Differential Equations

NB SAVASANERIL - Scientific Research Communications, 2024 - scientificrc.org
In recent times, the consensus has emerged that a profound understanding of mathematics
is essential to excel as an economist, leading to a rapid increase in the number of articles …