Hydra - an Implicit Partial Differential Equation Relaxation Stability Analysis Package

Statistics – Computation

Scientific paper

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Scientific paper

A brief description is given of HYDRA, a numerical analysis code designed to provide a rather complete analysis of many difficult problems often encountered in astrophysical contexts. The primary use for this system is the solution of implicit partial differential equations. Given the difference equations and a trial solution, options include (1) forward time integration, (2) relaxation to steady state, (3) stability of steady state and time evolution, (4) numerical stability check, and (5) driven oscillations. Extensive input/output and debug facilities are provided, including dump/restart, variable plots, and initialization from a given state with an eigenvector perturbation. Generalization to solve global problems such as computations of periodic solutions and their stability is straightforward.

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