On a comparison of two schemes in sequential data assimilation

Anastasiia A. Grishina; Alexey V. Penenko

doi:10.1063/1.5012635

On a comparison of two schemes in sequential data assimilation

Anastasiia A. Grishina, Alexey V. Penenko

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › рецензирование

Аннотация

This paper is focused on variational data assimilation as an approach to mathematical modeling. Realization of the approach requires a sequence of connected inverse problems with different sets of observational data to be solved. Two variational data assimilation schemes, "implicit" and "explicit", are considered in the article. Their equivalence is shown and the numerical results are given on a basis of non-linear Robertson system. To avoid the "inverse problem crime" different schemes were used to produce synthetic measurement and to solve the data assimilation problem.

Язык оригинала	английский
Название основной публикации	Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017
Редакторы	IE Egorov, SV Popov, PN Vabishchevich, MY Antonov, NP Lazarev, MS Troeva, MS Troeva, AO Ivanova, YM Grigorev
Издатель	American Institute of Physics Inc.
Число страниц	9
Том	1907
ISBN (электронное издание)	9780735415997
DOI	https://doi.org/10.1063/1.5012635
Состояние	Опубликовано - 14 ноя 2017
Событие	8th International Conference on Mathematical Modeling, ICMM 2017 - Yakutsk, Российская Федерация Продолжительность: 4 июл 2017 → 8 июл 2017

Серия публикаций

Название	AIP Conference Proceedings
Издатель	AMER INST PHYSICS
Том	1907
ISSN (печатное издание)	0094-243X

Конференция

Конференция	8th International Conference on Mathematical Modeling, ICMM 2017
Страна	Российская Федерация
Город	Yakutsk
Период	04.07.2017 → 08.07.2017

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Grishina, A. A., & Penenko, A. V. (2017). On a comparison of two schemes in sequential data assimilation. В IE. Egorov, SV. Popov, PN. Vabishchevich, MY. Antonov, NP. Lazarev, MS. Troeva, MS. Troeva, AO. Ivanova, & YM. Grigorev (Ред.), Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017 (Том 1907). [030013] (AIP Conference Proceedings; Том 1907). American Institute of Physics Inc.. https://doi.org/10.1063/1.5012635

Grishina, Anastasiia A. ; Penenko, Alexey V. / On a comparison of two schemes in sequential data assimilation. Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017. редактор / IE Egorov ; SV Popov ; PN Vabishchevich ; MY Antonov ; NP Lazarev ; MS Troeva ; MS Troeva ; AO Ivanova ; YM Grigorev. Том 1907 American Institute of Physics Inc., 2017. (AIP Conference Proceedings).

@inproceedings{86c0655f4e3d449e808d3b8a7cd593da,

title = "On a comparison of two schemes in sequential data assimilation",

abstract = "This paper is focused on variational data assimilation as an approach to mathematical modeling. Realization of the approach requires a sequence of connected inverse problems with different sets of observational data to be solved. Two variational data assimilation schemes, {"}implicit{"} and {"}explicit{"}, are considered in the article. Their equivalence is shown and the numerical results are given on a basis of non-linear Robertson system. To avoid the {"}inverse problem crime{"} different schemes were used to produce synthetic measurement and to solve the data assimilation problem.",

author = "Grishina, {Anastasiia A.} and Penenko, {Alexey V.}",

year = "2017",

month = nov,

day = "14",

doi = "10.1063/1.5012635",

language = "English",

volume = "1907",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "IE Egorov and SV Popov and PN Vabishchevich and MY Antonov and NP Lazarev and MS Troeva and MS Troeva and AO Ivanova and YM Grigorev",

booktitle = "Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017",

note = "8th International Conference on Mathematical Modeling, ICMM 2017 ; Conference date: 04-07-2017 Through 08-07-2017",

}

Grishina, AA & Penenko, AV 2017, On a comparison of two schemes in sequential data assimilation. в IE Egorov, SV Popov, PN Vabishchevich, MY Antonov, NP Lazarev, MS Troeva, MS Troeva, AO Ivanova & YM Grigorev (ред.), Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017. том. 1907, 030013, AIP Conference Proceedings, том. 1907, American Institute of Physics Inc., 8th International Conference on Mathematical Modeling, ICMM 2017, Yakutsk, Российская Федерация, 04.07.2017. https://doi.org/10.1063/1.5012635

On a comparison of two schemes in sequential data assimilation. / Grishina, Anastasiia A.; Penenko, Alexey V.

Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017. ред. / IE Egorov; SV Popov; PN Vabishchevich; MY Antonov; NP Lazarev; MS Troeva; MS Troeva; AO Ivanova; YM Grigorev. Том 1907 American Institute of Physics Inc., 2017. 030013 (AIP Conference Proceedings; Том 1907).

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › рецензирование

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T1 - On a comparison of two schemes in sequential data assimilation

AU - Grishina, Anastasiia A.

AU - Penenko, Alexey V.

PY - 2017/11/14

Y1 - 2017/11/14

N2 - This paper is focused on variational data assimilation as an approach to mathematical modeling. Realization of the approach requires a sequence of connected inverse problems with different sets of observational data to be solved. Two variational data assimilation schemes, "implicit" and "explicit", are considered in the article. Their equivalence is shown and the numerical results are given on a basis of non-linear Robertson system. To avoid the "inverse problem crime" different schemes were used to produce synthetic measurement and to solve the data assimilation problem.

AB - This paper is focused on variational data assimilation as an approach to mathematical modeling. Realization of the approach requires a sequence of connected inverse problems with different sets of observational data to be solved. Two variational data assimilation schemes, "implicit" and "explicit", are considered in the article. Their equivalence is shown and the numerical results are given on a basis of non-linear Robertson system. To avoid the "inverse problem crime" different schemes were used to produce synthetic measurement and to solve the data assimilation problem.

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U2 - 10.1063/1.5012635

DO - 10.1063/1.5012635

M3 - Conference contribution

AN - SCOPUS:85036586061

VL - 1907

T3 - AIP Conference Proceedings

BT - Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017

A2 - Egorov, IE

A2 - Popov, SV

A2 - Vabishchevich, PN

A2 - Antonov, MY

A2 - Lazarev, NP

A2 - Troeva, MS

A2 - Ivanova, AO

A2 - Grigorev, YM

PB - American Institute of Physics Inc.

T2 - 8th International Conference on Mathematical Modeling, ICMM 2017

Y2 - 4 July 2017 through 8 July 2017

ER -

Grishina AA, Penenko AV. On a comparison of two schemes in sequential data assimilation. В Egorov IE, Popov SV, Vabishchevich PN, Antonov MY, Lazarev NP, Troeva MS, Troeva MS, Ivanova AO, Grigorev YM, редакторы, Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017. Том 1907. American Institute of Physics Inc. 2017. 030013. (AIP Conference Proceedings). https://doi.org/10.1063/1.5012635

Доступ к документу

10.1063/1.5012635

Link to publication in Scopus