Optimization methods form the backbone of numerical analysis, enabling the efficient solution of problems across engineering, data science, physics and beyond. At their core lie gradient-based ...

Across modern data-intensive disciplines, the union of numerical computation, statistics, and machine learning has become ...

Phase-field modelling of multiphase flows employs a continuous order parameter to distinguish immiscible fluids within a diffuse interface, replacing explicit front tracking with an energy-based ...

This course will cover advanced topics in the development and analysis of numerical methods for simulation of rigid body motion. Topics will include forward error ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...