The stabilization of linear multistep methods for constrained mechanical systems

DOI10.1016/S0168-9274(98)00041-5zbMath0927.65094OpenAlexW2028807223WikidataQ126408054 ScholiaQ126408054MaRDI QIDQ1294507

K. Appert

Publication date: 25 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00041-5

zbMATH Keywords

stabilizationdifferential-algebraic equationslinear multistep methodsconstrained mechanical systemsAdams methods

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80)

Related Items

Highest order multistep formula for solving index-2 differential-algebraic equations, Regular and singular \(\beta\)-blocking of difference corrected multistep methods for nonstiff index-2 DAEs, Multi-block generalized Adams-type integration methods for differential algebraic equations

Uses Software

• RODAS
• MEXX

Cites Work

• One-step and extrapolation methods for differential-algebraic systems
• Half-explicit Runge-Kutta methods with explicit stages for differential-algebraic systems of index 2
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• Partitioned half-explicit Runge-Kutta methods for differential-algebraic system of index 2
• Comparing stability properties of three methods in DAEs or ODEs with invariants
• Stabilized multistep methods for index 2 Euler-Lagrange DAEs
• Half-Explicit Runge–Kutta Methods for Differential-Algebraic Systems of Index 2
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