“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 ...

The Euler equations constitute a fundamental set of hyperbolic partial differential equations that describe the motion of an inviscid fluid. In gas dynamics, these equations are instrumental in ...

What is it that makes Euler's identity, e]iPi + 1 = 0, so special? In Euler's Pioneering Equation Robin Wilson shows how this simple, elegant, and profound formula links together perhaps the five most ...

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 ...

Quarterly of Applied Mathematics, Vol. 67, No. 2 (June 2009), pp. 327-341 (15 pages) A wide class of linear ordinary differential equations reducible to algebraic equations is studied. The method for ...