Multistep methods for second-order differential-algebraic equations

DOI10.1134/s0012266123030102zbMath1523.65068OpenAlexW4379116265MaRDI QIDQ6155440

Lyubov' Stepanovna Solovarova, Mikhail Valer'yanovich Bulatov

Publication date: 12 June 2023

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266123030102

zbMATH Keywords

differential-algebraic equationsmultistep methods

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80)

Cites Work

• Differential-algebraic equations. A projector based analysis
• Transformation of high order linear differential-algebraic systems to first order
• Application of matrix polynomials to the analysis of linear differential-algebraic equations of higher order
• On implicit Euler for high-order high-index DAEs
• Transformations of differential-algebraic systems of equations
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