Toda and Liouville systems are central themes in mathematical physics, providing powerful frameworks for understanding integrable structures, nonlinear dynamics and geometric phenomena. Rooted in the ...

The Navier–Stokes partial differential equation was developed in the early 19th century by Claude-Louis Navier and George ...

Artificial intelligence (AI) systems, particularly artificial neural networks, have proved to be highly promising tools for ...

This is the first part of a two course graduate sequence in analytical methods to solve ordinary and partial differential equations of mathematical physics. Review of Advanced ODE’s including power ...

The course is devoted to analytical methods for partial differential equations of mathematical physics. Review of separation of variables. Laplace Equation: potential theory, eigenfunction expansions, ...

A mathematical model is an abstract model that uses mathematical language to describe the behaviour of a system. Mathematical models are used particularly in the natural sciences and engineering ...

Work with experts to tackle some of the biggest ideas in science and expand your understanding of advanced mathematical tools. Our MSc Mathematical and Theoretical Physics course is designed to equip ...

The Standard Model is far more than elementary particles arranged in a table. The Standard Model of particle physics is often visualized as a table, similar to the periodic table of elements, and used ...