The minisymposium is focused on mathematical/numerical analysis foundations, and applications of scientific machine learning for large-scale, complex and multiscale dynamical systems. Topics of interest include but not limited to: - Numerical methods for large-scale systems - Inverse and Forward problems for ODEs and PDEs, - Numerical Bifurcation Analysis - Neural Operators - Reduced Order Models - Explainable Machine Learning - Deep Learning - Manifold Learning algorithms - Control - Uncertainty Quantification