Highest order multistep formula for solving index-2 differential-algebraic equations

DOI10.1007/BF02510407zbMath0935.65083OpenAlexW1976846738MaRDI QIDQ1279694

Yang Cao, Qing-Yang Li

Publication date: 17 February 1999

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02510407

zbMATH Keywords

stabilitynumerical exampleslinear multistep methodspredictor-corrector methodsmaximum orderindex-2 differential-algebraic equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80)

Related Items

Towards explicit methods for differential algebraic equations, A fast immersed boundary method for external incompressible viscous flows using lattice Green's functions

Uses Software

• DASSL
• RODAS

Cites Work

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• The stabilization of linear multistep methods for constrained mechanical systems
• Convergence of multistep discretizations of DAEs
• Stabilized multistep methods for index 2 Euler-Lagrange DAEs
• Convergence and stability in the numerical integration of ordinary differential equations