Ely, Jeffrey S. The application of variable precision interval arithmetic to the solution of problems in vortex dynamics. (English) Zbl 0765.76062 Computational and applied mathematics, I. Algorithms and theory, Sel. Rev. Pap. IMACS 13th World Congr., Dublin/Irel. 1991, 121-125 (1992). Summary: [For the entire collection see Zbl 0753.00017.]Variable precision interval arithmetic in \(C++\) is applied to the Birkhoff-Rott equation to give, for the first time, reliable data describing the equation’s evolution in time toward a possible curvature singularity. MSC: 76M25 Other numerical methods (fluid mechanics) (MSC2010) 65G30 Interval and finite arithmetic 76B47 Vortex flows for incompressible inviscid fluids Keywords:Birkhoff-Rott equation; equation’s evolution in time; curvature singularity Citations:Zbl 0753.00017 PDFBibTeX XMLCite \textit{J. S. Ely}, in: Computational and applied mathematics, I. Algorithms and theory. Selected and revised papers from the IMACS 13th world congress, Dublin, Ireland, July 1991. Proceedings. Amsterdam etc.: North-Holland. 121--125 (1992; Zbl 0765.76062)