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SUMMARY:oscode: fast solutions of oscillatory ODEs in cosmology - Fruzsina
  Agocs
DTSTART:20200129T134500Z
DTEND:20200129T141500Z
UID:TALK136975@talks.cam.ac.uk
CONTACT:Catrina Diener
DESCRIPTION:Bayesian analysis of the cosmic microwave background (CMB) all
 ows us to constrain cosmological parameters and infer the physics of the e
 arly\nuniverse. The forward modelling phase of Bayesian inference involves
  calculation of the likelihood function of the model parameters\, which re
 quires one to numerically solve linear\, ordinary differential equations w
 ith oscillatory solutions efficiently. I'll present a novel numerical rout
 ine\, oscode\, with associated open-source software\, for such purposes. T
 he method makes use of the Wentzel--Kramers--Brillouin approximation used 
 in quantum mechanics to rapidly traverse highly oscillatory regions of the
  solution\, giving a significant speedup compared to Runge--Kutta-like met
 hods. Its efficiency is demonstrated on physical examples of the Schrödin
 ger equation and the Mukhanov--Sasaki\nequation\; the latter is solved to 
 generate primordial power spectra of\ncurvature perturbations in different
  cosmological scenarios.
LOCATION:Sackler Lecture Theatre\, IoA
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