Solution of differential algebraic equations with the Fredholm operator by the least squares method

DOI10.1016/j.apnum.2019.04.013OpenAlexW2942179546WikidataQ127994691 ScholiaQ127994691MaRDI QIDQ2301262

Elena Victorovna Chistyakova, Viktor Filimonovich Chistyakov

Publication date: 24 February 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.04.013

zbMATH Keywords

numerical schemesdifferential algebraic equationsindexleast squares methodhigher orderVolterra equationsFredholm equations

Mathematics Subject Classification ID

Numerical methods for differential-algebraic equations (65L80)

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Cites Work

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• Differential-algebraic equations. A projector based analysis
• Regularizing properties of difference schemes for singular integral-differential equations
• Least-squares collocation for linear higher-index differential-algebraic equations
• Transformation of high order linear differential-algebraic systems to first order
• CAD-based electric-circuit modeling in industry. I: Mathematical structure and index of network equations
• CAD-based electric-circuit modeling in industry. II: Impact of circuit configurations and parameters
• Linear differential-algebraic equations perturbed by Volterra integral operators
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• The index of general nonlinear DAEs
• Nonholonomic Motion of Rigid Mechanical Systems from a DAE Viewpoint
• Application of the least squares method to solving linear differential-algebraic equations