On a regularization of index 3 differential-algebraic equations

DOI10.1016/j.amc.2006.03.006zbMath1113.65083OpenAlexW2029106091MaRDI QIDQ856134

Hong Liu, Yong-Zhong Song

Publication date: 7 December 2006

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.03.006

zbMATH Keywords

convergencenumerical examplesinitial value problemsdifferential algebraic equationstractability indexregularisationsingular perturbation problemlinear two-point boundary conditions

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical methods for differential-algebraic equations (65L80) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

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• On the regularization of index 2 differential-algebraic equations
• On the regularization of a class of nontransferable differential- algebraic equations
• Asymptotic expansions for regularization methods of linear fully implicit differential-algebraic equations
• Regularization methods for solving differential-algebraic equations
• Solvability of higher index time-varying linear differential-algebraic equations

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