A Newton–Kantorovich Method in Inverse Source Problems for Production-Destruction Models with Time Series-Type Measurement Data

Результат исследования: Научные публикации в периодических изданияхстатьярецензирование

5 Цитирования (Scopus)

Аннотация

Algorithms for solving an inverse source problem for production–destruction systems of nonlinear ordinary differential equations with measurement data in the form of time series are presented. A sensitivity operator and its discrete analogue are constructed on the basis of adjoint equations. This operator relates perturbations of the sought-for parameters of the model to those of the measured values. The operator generates a family of quasi-linear operator equations linking the required unknown parameters and the data of the inverse problem. A Newton–Kantorovich method with right-hand side r-pseudo-inverse matrices is used to solve the equations. The algorithm is applied to solving an inverse source problem for an atmospheric pollution transformation model.

Язык оригиналаанглийский
Страницы (с-по)51-69
Число страниц19
ЖурналNumerical Analysis and Applications
Том12
Номер выпуска1
DOI
СостояниеОпубликовано - 1 янв 2019

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