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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

Citations:

Zbl 0753.00017
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