The course concentrates on the theory and qualitative analysis of (ordinary) differential equations, although some solution techniques will be considered as well. Special attention will be paid to ...

Differential equations may improve training regimens and tournament design for bowlers.

The aim of the course is the study of partial differential equations. The focus will be on first order quasilinear equations, and second order linear equations. The method of characteristics for ...

An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...

Mathematical modelling and real-time microfluidics-based measurements of nuclear shuttling dynamics of the transcription factor EB (TFEB) demonstrate its biphasic nature in response to nutrient ...

The world-famous mathematician Alan Turing found a possible mechanism for iconic animal patterns thanks to differential equations ...

Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and Einstein Geometry, Geometric Flows, ...

Turbulence is everywhere, from the swirl of smoke in air to the turbulent flows of gas in galaxies. Yet despite its ubiquity, ...

An advanced course in the analytical and numerical study of ordinary and partial differential equations, building on techniques developed in Differential Equations I. Ordinary differential equations: ...

In a recent advance, a multi-disciplinary team of researchers developed a machine learning framework that adapts to changes in the geometry of the physical settings of PDEs. Called DIMON, the new ...

Topics include methods of solutions for linear and non-linear first order differential equations, linear second order differential equations, higher order linear differential equations, systems of ...