Dual number-based variational data assimilation: Constructing exact tangent linear and adjoint code from nonlinear model evaluations.

Dual numbers allow for automatic, exact evaluation of the numerical derivative of high-dimensional functions at an arbitrary point with minimal coding effort. We use dual numbers to construct tangent linear and adjoint model code for a biogeochemical ocean model and apply it to a variational (4D-Var...

Full description

Bibliographic Details
Main Authors: Jann Paul Mattern, Christopher A Edwards, Christopher N Hill
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2019-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0223131