A new wide-binary coordinate system in REBOUND's TRACE integrator produces qualitatively correct results for planet-planet scattering, stellar flybys, and ZLK oscillations where prior hybrid integrators fail, while matching IAS15 accuracy at up to 9x speed.
Monthly Notices of the Royal Astronomical Society468(3), 2614– 2636 (2017)
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Low-rank structure in HBVM stage equations is exploited via Krylov projection for linear cases and Newton-Krylov with adaptive time-stepping for nonlinear cases, shown efficient on semi-discretized wave equations.
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A Coordinate System for Dynamical Instabilities in Hierarchical Systems in REBOUND
A new wide-binary coordinate system in REBOUND's TRACE integrator produces qualitatively correct results for planet-planet scattering, stellar flybys, and ZLK oscillations where prior hybrid integrators fail, while matching IAS15 accuracy at up to 9x speed.
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Low-Rank Solvers for Energy-Conserving Hamiltonian Boundary Value Methods
Low-rank structure in HBVM stage equations is exploited via Krylov projection for linear cases and Newton-Krylov with adaptive time-stepping for nonlinear cases, shown efficient on semi-discretized wave equations.