On an Algorithm for the Numerical Solution of Integral-Algebraic Equations

The article addresses linear systems of Volterra integral equations with sufficiently smooth input data and an identically degenerate matrix in front of the main part. Difficulties arising in the qualitative study of these problems and the construction of numerical methods for their solution are emp...

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Veröffentlicht in:Lobachevskii journal of mathematics Jg. 44; H. 2; S. 542 - 547
1. Verfasser: Bulatov, M. V.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Moscow Pleiades Publishing 01.02.2023
Schlagworte:
Algebra
Analysis
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
integral-algebraic equations
quadrature formulas
collocation
matrix pencils
lagrange multiplier method
ISSN:1995-0802, 1818-9962
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Beschreibung
Zusammenfassung:The article addresses linear systems of Volterra integral equations with sufficiently smooth input data and an identically degenerate matrix in front of the main part. Difficulties arising in the qualitative study of these problems and the construction of numerical methods for their solution are emphasized. The class of systems under consideration that have a unique sufficiently smooth solution is singled out in terms of matrix pencils. The simplest family of collocation-variational algorithms for this type of problem is proposed. The numerical calculations of model examples are presented.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080223020129