Computer Science – Numerical Analysis
Scientific paper
Feb 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981soph...69..327l&link_type=abstract
Solar Physics, vol. 69, Feb. 1981, p. 327-342.
Computer Science
Numerical Analysis
6
Conservation Laws, Perturbation Theory, Plasma Equilibrium, Solar Prominences, Variational Principles, Angular Momentum, Approximation, Eigenvalues, Energy Conservation, Equilibrium Methods, Momentum Theory, Numerical Analysis
Scientific paper
A Lagrangian approach to the equations describing small amplitude departures from equilibrium of solar prominences is presented. Seven quantities are derived which, by analogy to the concepts of energy, momentum, and angular momentum, are conserved under conditions corresponding to ignorable coordinates of classical mechanics. It is expected that these conservation laws will be useful as criteria of accuracy in obtaining eigenfrequencies for the perturbation equations when numerical techniques are used. The method is capable of handling complicated spatial dependences and has internal criteria for assessing the accuracy of any given numerical convergence scheme.
Chye Low Boon
Lerche Ian
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