Scinovex
Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics

Model Reduction and Neural Networks

This cluster of papers focuses on the development and application of physics-informed neural networks for scientific computing, particularly in the context of solving partial differential equations, model reduction, fluid dynamics, dynamic mode decomposition, and nonlinear systems. The research explores the integration of deep learning techniques with traditional numerical methods to address complex problems in physics-based modeling and simulation.

69.4K works worldwide721K citations
Deep LearningPartial Differential EquationsModel ReductionFluid DynamicsDynamic Mode DecompositionNonlinear SystemsMachine LearningData-Driven ModelingNumerical ComputingInverse Problems

Journals publishing in this area

Articles on Scinovex in this research area

3 articles, most cited first

  1. Adaptive L1-physics-informed neural network for nonlinear time-fractional diffusion-reaction equations: Numerical accuracy and stability analysis
    International Journal of Statistics and Applied Mathematics · 2026 · 0 citations
  2. A hybrid physics-informed neural network framework for solving high-dimensional fractional partial differential equations
    International Journal of Statistics and Applied Mathematics · 2026 · 0 citations
  3. Using collocation neural network to solve nonlinear singular differential equations
    International Journal of Statistics and Applied Mathematics · 2017 · 0 citations · AI summary