activity
20232025
most citedHierarchical deep learning-based adaptive time-stepping scheme for multiscale simulations

5 citations · 5 across the 3 of their papers we have counts for

collaborators

5 papers

math.DS2025

Discovering Power Grid Dynamics from Data Using Low-Rank Sparse Modeling

Aiman Mushtaq Purra, Danish Rafiq

The growing integration of renewable energy sources has significantly reduced grid inertia, making modern power systems more vulnerable to instabilities. Accurate estimation of dyn…

math.DS2025

Nonlinear Model Order Reduction of Power Grid Networks using Quadratic Manifolds

Farhana Farooq, Danish Rafiq

The increasing size and complexity of modern power systems have led to a high-dimensional mathematical model for transient stability studies, rendering full-scale simulations compu…

cs.DC2024

Enhancing Computational Efficiency in Multiscale Systems Using Deep Learning of Coordinates and Flow Maps

Asif Hamid, Danish Rafiq, Shahkar Ahmad Nahvi +1

Complex systems often show macroscopic coherent behavior due to the interactions of microscopic agents like molecules, cells, or individuals in a population with their environment.…

cs.LG2024

RefreshNet: Learning Multiscale Dynamics through Hierarchical Refreshing

Junaid Farooq, Danish Rafiq, Pantelis R. Vlachas +1

Forecasting complex system dynamics, particularly for long-term predictions, is persistently hindered by error accumulation and computational burdens. This study presents RefreshNe…

math.DS2023★ 5 cited

Hierarchical deep learning-based adaptive time-stepping scheme for multiscale simulations

Asif Hamid, Danish Rafiq, Shahkar Ahmad Nahvi +1

Multiscale is a hallmark feature of complex nonlinear systems. While the simulation using the classical numerical methods is restricted by the local \textit{Taylor} series constrai…