48,058 research outputs found
Numerical methods for solving initial value problems on the Infinity Computer
New algorithms for the numerical solution of Ordinary Differential Equations (ODEs) with initial condition are proposed. They are designed for work on a new kind of a supercomputer – the Infinity Computer, – that is able to deal numerically with finite, infinite and infinitesimal numbers. Due to this fact, the Infinity
Computer allows one to calculate the exact derivatives of functions using infinitesimal values of the stepsize. As a consequence, the new methods described in this paper are able to work with the exact values of the derivatives, instead of their approximations
Tails for the Einstein-Yang-Mills system
We study numerically the late-time behaviour of the coupled Einstein
Yang-Mills system. We restrict ourselves to spherical symmetry and employ
Bondi-like coordinates with radial compactification. Numerical results exhibit
tails with exponents close to -4 at timelike infinity and -2 at future
null infinity \Scri.Comment: 12 pages, 5 figure
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