SIAM Journal on Numerical Analysis, Vol. 24, No. 3 (Jun., 1987), pp. 538-582 (45 pages) We prove the convergence of a large class of vortex methods for two-dimensional incompressible, inviscid flows ...

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

The plots below illustrate the difference between computations on a moving mesh (left) and a fixed grid (right), both with the same number of grid points. The partial differential differential ...

“Gentlemen, that is surely true, it is absolutely paradoxical; we cannot understand it, and we don’t know what it means. But we have proved it, and therefore we know it must be the truth.” —Benjamin ...

This is a preview. Log in through your library . Abstract This paper analyzes a noncooperative and symmetric dynamic game where players have free access to a productive asset whose evolution is a ...

Researchers have spent centuries looking for a scenario in which the Euler fluid equations fail. Now a mathematician has finally found one. Mathematicians have suspected for years that under specific ...

Euler’s identity is an equality found in mathematics that has been compared to a Shakespearean sonnet and described as "the most beautiful equation." It is a special case of a foundational equation in ...