Péter Csizmadia 2007 Class. Quantum Grav. 24 S369 doi:10.1088/0264-9381/24/12/S23
Péter Csizmadia
Show affiliationsTime evolutions of certain spherically symmetric systems are investigated where simple explicit second order finite difference methods are not applicable. Due to a compactified space coordinate, efficiency and long-term numerical stability require at least fourth order accuracy for both the massive Klein–Gordon field and the SU(2) Yang–Mills–Higgs system. Moreover, adaptive mesh refinement (AMR) has a crucial role in dealing with high frequency oscillations that appear as an initial disturbance is radiated away. The incompatibility of AMR with fully fourth order accuracy is discussed and a solution is presented. Finally, compactification is compared to standard spherical coordinates and truncated grids in terms of efficiency.
11.10.Lm Nonlinear or nonlocal theories and models
83C47 Methods of quantum field theory (See also 81T20)
81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
Issue 12 (21 June 2007)
Received 30 October 2006, in final form 3 May 2007
Published 4 June 2007
Péter Csizmadia 2007 Class. Quantum Grav. 24 S369
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