Title :
Using MATHEMATICA to assist plasma stability analysis
Abstract :
Summary form only given. An effort was made to investigate how MATHEMATICA can be applied to problems associated with the analysis of plasma instabilities. Specifically, MATHEMATICA techniques were demonstrated for (1) the analytical derivation of linear plasma responses by means of perturbative solutions of partial differential equations (fluid theory): (2) the analytical solution of transcendental dispersion equations (special functions, series expansions, hierarchies of algebraic systems); (3) parametric analysis of dispersion equations by graphical and numerical methods: and (4) the flexible graphical representation of results generated by traditional numerical methods
Keywords :
partial differential equations; perturbation theory; plasma instability; MATHEMATICA; flexible graphical representation; fluid theory; linear plasma responses; numerical methods; parametric analysis; partial differential equations; perturbative solutions; plasma stability analysis; series expansions; special functions; transcendental dispersion equations;
Conference_Titel :
Plasma Science, 1990. IEEE Conference Record - Abstracts., 1990 IEEE International Conference on
Conference_Location :
Oakland, CA, USA
DOI :
10.1109/PLASMA.1990.110577
