A mathematician has developed new methods for the numerical solution of ordinary differential equations. These so-called multirate methods are highly efficient for large systems, where some components ...

Luis Caffarelli has won the 2023 Abel prize, unofficially called the Nobel prize for mathematics, for his work on a class of equations that describe many real-world physical systems, from melting ice ...

Partial differential equations can describe everything from planetary motion to plate tectonics, but they’re notoriously hard to solve. Unless you’re a physicist or an engineer, there really isn’t ...

Coupled second-order nonlinear differential equations are of fundamental importance in dynamics. In this part of our study on the integrability and linearization of nonlinear ordinary differential ...

This is a preview. Log in through your library . Abstract Motivated essentially by several recent works on interesting generalizations of the first-order Volterra-type integro-differential equation ...

It is said that the enemy of great is good. In engineering, however, good can often be great—when you can develop a solution that gets you 90 percent of the way to perfection in 20 percent of the time ...