Singularity analysis of ordinary differential equations is an important tool in the determination of the possible integrability of the equations. Although singularity analysis has been studied for ...

SIAM Journal on Numerical Analysis, Vol. 19, No. 4 (Aug., 1982), pp. 816-832 (17 pages) First of all a method of collocation, which we call "classical" collocation, is described for the approximate ...

A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...

Can we do away with the troublesome singularity at the heart of black holes? A new paper in JCAP reimagines these extreme objects in light of current knowledge. “Hic sunt leones,” remarks Stefano ...