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On self-regularization properties of a difference scheme for linear differential-algebraic equations

Авторы: Bulatov M., Solovarova L.

Журнал: Applied Numerical Mathematics

Том: 130

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Год: 2018

Отчётный год: 2018

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Аннотация: In this article a class of linear differential-algebraic equations with an initial condition is identified. This class has a unique continuously differentiable solution that depends on the first derivatives of the right-hand part. Assuming that the right-hand part is given with the known level of the error, it is shown that a difference scheme of the first order generates a regularization algorithm. The integration step that depends on the perturbation of the right-hand part is the regularization parameter. The survey of regularization methods for differential-algebraic equations and related problems is given. (C) 2018 IMACS. Published by Elsevier B.V. All rights reserved.

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