Statistics – Computation
Scientific paper
Oct 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986jcoph..66..469z&link_type=abstract
Journal of Computational Physics (ISSN 0021-9991), vol. 66, Oct. 1986, p. 469-480. Research supported by the University of Calif
Statistics
Computation
5
Computational Astrophysics, Cosmic Rays, Particle Acceleration, Shock Wave Propagation, Supernova Remnants, Hydrodynamic Equations, Linear Equations, Magnetohydrodynamic Waves, Numerical Stability, Orbits
Scientific paper
The in situ acceleration of cosmic rays by SNR shock waves is presently studied in light of an orbit-averaged Darwin quasi-neutral hybrid code whose algorithm is well suited to follow the slow growth of Alfven waves driven by resonances with rapidly gyrating cosmic rays. Attention is given to the results of stability and noise analyses for the algorithm. It is noted that, although the code is numerically unstable, a single e-folding may entail as many as 100,000 time-steps. A physical instability demonstrating the successful use of this algorithm is analyzed.
Cohen Bruce I.
Zachary Andrew L.
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