Time‐limited balanced truncation within incremental four‐dimensional variational data assimilation
Abstract: Four‐dimensional variational data assimilation (4D‐Var) is a data assimilation method often used in weather forecasting. Based on a numerical model and observations of a system, it predicts the system state beyond the last time of measurement. This requires the minimisation of a functional. At each step of the optimisation algorithm, a full nonlinear model evaluation and its adjoint is required. This quickly becomes very costly, especially in high dimensions. For this reason, a surrogate model is needed that approximates the full model well, but requires significantly less computational effort. In this paper, we propose time‐limited balanced truncation to build such a reduced‐order model. Our approach is able to deal with unstable system matrices. We demonstrate its performance in experiments and compare it with α‐bounded balanced truncation, which is an another reduction approach for unstable systems.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
Time‐limited balanced truncation within incremental four‐dimensional variational data assimilation ; day:12 ; month:09 ; year:2023 ; extent:9
Proceedings in applied mathematics and mechanics ; (12.09.2023) (gesamt 9)
- Urheber
- DOI
-
10.1002/pamm.202300019
- URN
-
urn:nbn:de:101:1-2023091315175675270509
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
30.11.2024, 16:45 MEZ
Datenpartner
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- König, Josie
- Freitag, Melina A.
Ähnliche Objekte (12)
Balanced truncation for linear switched systems
Balanced truncation for quadratic-bilinear control systems
Passivity-preserving balanced truncation for electrical circuits
D4-branes wrapped on four-dimensional orbifolds through consistent truncation
Balanced truncation for model reduction of biological oscillators
Time-Limited Balanced Truncation for Data Assimilation Problems
Balanced truncation model reduction for semidiscretized Stokes equation
Model Reduction for Piezo-Mechanical Systems using Balanced Truncation
Balanced truncation model reduction for linear time-varying systems
An economical approach to four-dimensional variational data assimilation
Balanced Truncation Model Reduction of Large and Sparse Generalized Linear Systems
Infinite-dimensional bilinear and stochastic balanced truncation with explicit error bounds
Balanced truncation for linear switched systems
Balanced truncation for quadratic-bilinear control systems
Passivity-preserving balanced truncation for electrical circuits
D4-branes wrapped on four-dimensional orbifolds through consistent truncation
Balanced truncation for model reduction of biological oscillators
Time-Limited Balanced Truncation for Data Assimilation Problems
Balanced truncation model reduction for semidiscretized Stokes equation
Model Reduction for Piezo-Mechanical Systems using Balanced Truncation
Balanced truncation model reduction for linear time-varying systems
An economical approach to four-dimensional variational data assimilation
Balanced Truncation Model Reduction of Large and Sparse Generalized Linear Systems
Infinite-dimensional bilinear and stochastic balanced truncation with explicit error bounds
Balanced truncation for linear switched systems
Balanced truncation for quadratic-bilinear control systems
Passivity-preserving balanced truncation for electrical circuits
D4-branes wrapped on four-dimensional orbifolds through consistent truncation
Balanced truncation for model reduction of biological oscillators
Time-Limited Balanced Truncation for Data Assimilation Problems
Balanced truncation model reduction for semidiscretized Stokes equation
Model Reduction for Piezo-Mechanical Systems using Balanced Truncation
Balanced truncation model reduction for linear time-varying systems
An economical approach to four-dimensional variational data assimilation
Balanced Truncation Model Reduction of Large and Sparse Generalized Linear Systems