Application of finite-difference methods to parameter identification of agroecological models

A typical parameter identification problem arisen in agroecological modeling is described and a finite difference method to solve an appropriate inverse problem is proposed. The method sup­poses the direct solution of an initial-boundary problem by finite difference scheme and then uses a non-linea...

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Main Authors: Natalija Juščenko, Vitalijus Denisov
Format: Article
Language:English
Published: Vilnius University Press 2001-12-01
Series:Lietuvos Matematikos Rinkinys
Online Access:https://www.zurnalai.vu.lt/LMR/article/view/34641
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author Natalija Juščenko
Vitalijus Denisov
author_facet Natalija Juščenko
Vitalijus Denisov
author_sort Natalija Juščenko
collection DOAJ
description A typical parameter identification problem arisen in agroecological modeling is described and a finite difference method to solve an appropriate inverse problem is proposed. The method sup­poses the direct solution of an initial-boundary problem by finite difference scheme and then uses a non-linear optimization routine for parameter estimation. The derived recurrent formulas allow the accumulation of values of gradient and Hessian matrices while solving the direct problem. The software algorithm is described and some numerical results are given for the particular soil heat transfer parameter estimation exercise using the field treatment data collected at the Lithuanian Institute of Agriculture.
format Article
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institution Kabale University
issn 0132-2818
2335-898X
language English
publishDate 2001-12-01
publisher Vilnius University Press
record_format Article
series Lietuvos Matematikos Rinkinys
spelling doaj-art-2ceae47b38a543a988ac51d9f78d3f372025-02-11T18:14:12ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2001-12-0141spec.10.15388/LMR.2001.34641Application of finite-difference methods to parameter identification of agroecological modelsNatalija Juščenko0Vitalijus Denisov1Klaipedos UniversityKlaipedos University A typical parameter identification problem arisen in agroecological modeling is described and a finite difference method to solve an appropriate inverse problem is proposed. The method sup­poses the direct solution of an initial-boundary problem by finite difference scheme and then uses a non-linear optimization routine for parameter estimation. The derived recurrent formulas allow the accumulation of values of gradient and Hessian matrices while solving the direct problem. The software algorithm is described and some numerical results are given for the particular soil heat transfer parameter estimation exercise using the field treatment data collected at the Lithuanian Institute of Agriculture. https://www.zurnalai.vu.lt/LMR/article/view/34641
spellingShingle Natalija Juščenko
Vitalijus Denisov
Application of finite-difference methods to parameter identification of agroecological models
Lietuvos Matematikos Rinkinys
title Application of finite-difference methods to parameter identification of agroecological models
title_full Application of finite-difference methods to parameter identification of agroecological models
title_fullStr Application of finite-difference methods to parameter identification of agroecological models
title_full_unstemmed Application of finite-difference methods to parameter identification of agroecological models
title_short Application of finite-difference methods to parameter identification of agroecological models
title_sort application of finite difference methods to parameter identification of agroecological models
url https://www.zurnalai.vu.lt/LMR/article/view/34641
work_keys_str_mv AT natalijajuscenko applicationoffinitedifferencemethodstoparameteridentificationofagroecologicalmodels
AT vitalijusdenisov applicationoffinitedifferencemethodstoparameteridentificationofagroecologicalmodels