Computer Science – Numerical Analysis
Scientific paper
Aug 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985icrc....4..380e&link_type=abstract
In NASA. Goddard Space Flight Center 19th Intern. Cosmic Ray Conf., Vol. 4 p 380-383 (SEE N85-34729 23-92)
Computer Science
Numerical Analysis
Coherent Scattering, Computer Techniques, Cosmic Rays, Finite Difference Theory, Particle Diffusion, Radiation Transport, Anisotropy, Approximation, Magnetic Fields, Mean Free Path, Normal Density Functions, Pitch (Inclination)
Scientific paper
It is not trivial to solve the equations that describe charged particle transport with the aid of computers, for instabilities, inaccuracies, and subtle artifacts are well known afflictions of numerical analysis. Two specific points are discussed. First to avoid inaccuracies, pitch angle scattering must be treated with great care. In particular, slightly inappropriate numerical formulations give rise to mean free paths that are in error by large factors. Secondly, A previously unrecognized artifact, numerical dispersion, is very similar to the physical phenomenon of dispersion. To avoid misinterpretations arising from this similarity, the spatial increment of the finite difference grid must be a small fraction of the mean free path. These points are illustrated by calculations based upon finite difference approximations to the transport equation.
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