Monthly Notices of the Royal Astronomical Society · 2013 · 507 citations · 56 references
Natural SciencesAstronomyPhysicsAstrophysicsComputational PhysicsStellar AstronomyAstrophysical SimulationsComputational AstrophysicsNumerical AstrophysicsStellar AstrophysicsStellar DynamicsStellar EvolutionPulsation DynamicsRed Giant OscillationsStellar Evolution ModelingStellar Evolution SimulationsStellar Oscillation TheoryStellar OscillationsStellar Pulsation ModesStellar Pulsations
We present a new oscillation code, gyre, which solves the stellar pulsation equations (both adiabatic and non-adiabatic) using a novel Magnus Multiple Shooting numerical scheme devised to overcome certain weaknesses of the usual relaxation and shooting schemes appearing in the literature. The code is accurate (up to sixth-order in the number of grid points), robust, efficiently makes use of multiple processor cores and/or nodes and is freely available in source form for use and distribution. We verify the code against analytic solutions and results from other oscillation codes, in all cases finding good agreement. Then, we use the code to explore how the asteroseismic observables of a 1.5 M⊙ star change as it evolves through the red-giant bump.
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MODULES FOR EXPERIMENTS IN STELLAR ASTROPHYSICS (MESA)
The Astrophysical Journal Supplement Series · 2010 · 4.3K citations · Full text
Natural Sciences, Astronomy, Physics +17
Algorithms for Minimization Without Derivatives
Richard P. Brent · Mathematics of Computation · 1974 · 2.9K citations