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On Guaranteed Error Bounds for Parameter Identification of Linear Difference Equations. / Lomov, Andrei.

In: Computational Mathematics and Modeling, 21.01.2026.

Research output: Contribution to journal › Article › peer-review

Harvard

Lomov, A 2026, 'On Guaranteed Error Bounds for Parameter Identification of Linear Difference Equations', Computational Mathematics and Modeling. https://doi.org/10.1007/s10598-025-09660-w

APA

Lomov, A. (2026). On Guaranteed Error Bounds for Parameter Identification of Linear Difference Equations. Computational Mathematics and Modeling. https://doi.org/10.1007/s10598-025-09660-w

Vancouver

Lomov A. On Guaranteed Error Bounds for Parameter Identification of Linear Difference Equations. Computational Mathematics and Modeling. 2026 Jan 21. doi: 10.1007/s10598-025-09660-w

Author

Lomov, Andrei. / On Guaranteed Error Bounds for Parameter Identification of Linear Difference Equations. In: Computational Mathematics and Modeling. 2026.

BibTeX

@article{4790f4d8c03f47a89b78471fc3d1a346,
title = "On Guaranteed Error Bounds for Parameter Identification of Linear Difference Equations",
abstract = "Using the Mean Value Theorem, new error bounds for parameter identification of linear difference equations in the variational Prony problem are obtained. A computational comparison with other known stability results is carried out.",
keywords = "Difference equations, Guaranteed error bounds, Local stability, Parameter identification, The variational Prony problem",
author = "Andrei Lomov",
note = "Lomov, A. On Guaranteed Error Bounds for Parameter Identification of Linear Difference Equations. Comput Math Model (2026). https://doi.org/10.1007/s10598-025-09660-w The author expresses gratitude to colleagues and the head of the laboratory G.V. Demidenko for their attention and support in this work. The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project No. FWNF-2022-0008).",
year = "2026",
month = jan,
day = "21",
doi = "10.1007/s10598-025-09660-w",
language = "English",
journal = "Computational Mathematics and Modeling",
issn = "1046-283X",
publisher = "Springer Nature",

}

RIS

TY - JOUR

T1 - On Guaranteed Error Bounds for Parameter Identification of Linear Difference Equations

AU - Lomov, Andrei

N1 - Lomov, A. On Guaranteed Error Bounds for Parameter Identification of Linear Difference Equations. Comput Math Model (2026). https://doi.org/10.1007/s10598-025-09660-w The author expresses gratitude to colleagues and the head of the laboratory G.V. Demidenko for their attention and support in this work. The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project No. FWNF-2022-0008).

PY - 2026/1/21

Y1 - 2026/1/21

N2 - Using the Mean Value Theorem, new error bounds for parameter identification of linear difference equations in the variational Prony problem are obtained. A computational comparison with other known stability results is carried out.

AB - Using the Mean Value Theorem, new error bounds for parameter identification of linear difference equations in the variational Prony problem are obtained. A computational comparison with other known stability results is carried out.

KW - Difference equations

KW - Guaranteed error bounds

KW - Local stability

KW - Parameter identification

KW - The variational Prony problem

UR - https://www.scopus.com/pages/publications/105028243821

UR - https://www.mendeley.com/catalogue/132f5a1e-05a8-3a1f-9695-f6e018b6ed5f/

U2 - 10.1007/s10598-025-09660-w

DO - 10.1007/s10598-025-09660-w

M3 - Article

JO - Computational Mathematics and Modeling

JF - Computational Mathematics and Modeling

SN - 1046-283X

ER -

ID: 74290360