Symplectic structure of statistical variational data assimilation

Symplectic Runge--Kutta Schemes for Adjoint Equations, Automatic Differentiation, Optimal Control, and More

(2016) J. M. Sanz-Serna   SIAM REVIEW

Systematic variational method for statistical nonlinear state and parameter estimation

(2015) Jingxin Ye et al.   PHYSICAL REVIEW E

Symplectic adaptive algorithm for solving nonlinear two-point boundary value problems in Astrodynamics

(2011) H. J. Peng et al.   CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY

Discrete Hamiltonian variational integrators

(2011) M. Leok et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Sensitivity and out-of-sample error in continuous time data assimilation

(2011) Jochen Bröcker et al.   QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY

On variational data assimilation in continuous time

(2010) Jochen Bröcker   QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY

The role of symplectic integrators in optimal control

(2008) Monique Chyba et al.   OPTIMAL CONTROL APPLICATIONS & METHODS