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 ...

Exact solutions of the Schrödinger equation have long provided fundamental insights into quantum mechanics by furnishing explicit analytical expressions for wave functions and energy spectra. These ...

A flight was delayed on Thursday after a passenger complained that their seatmate was doing differential equations. Anyone that’s sat through a college math class has probably also complained about ...

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...