On Newton methods in data assimilation

DOI10.1515/rnam.2000.15.5.419zbMath0983.65070OpenAlexW2080537196MaRDI QIDQ2725199

Victor P. Shutyaev, François-Xavier Le Dimet

Publication date: 12 July 2001

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rnam.2000.15.5.419

zbMATH Keywords

convergenceHilbert spaceNewton methoddata assimilationevolution problem

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Nonlinear differential equations in abstract spaces (34G20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (9)

Sensitivity of functionals with respect to observations in variational data assimilation ⋮ On model error in variational data assimilation ⋮ Sensitivity with respect to observations in variational data assimilation ⋮ Second-order optimality conditions for optimal control of the primitive equations of the ocean with periodic inputs ⋮ Computation of the analysis error covariance in variational data assimilation problems with nonlinear dynamics ⋮ Maximum principle of optimal control of the primitive equations of the ocean with two point boundary state constraint ⋮ Optimal control of the primitive equations of the ocean with state constraints ⋮ Pontryagin's maximum principle for optimal control of the stationary primitive equations of the ocean ⋮ Maximum Principle of Optimal Control of the Primitive Equations of the Ocean With State Constraint

This page was built for publication: On Newton methods in data assimilation