Stabilized multistep methods for index 2 Euler-Lagrange DAEs

DOI10.1007/BF01740541zbMath0854.65065MaRDI QIDQ1913581

Carmen Arévalo, Gustaf Söderlind, Claus Fuehrer

Publication date: 6 January 1997

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

convergenceEuler-Lagrange equationsordermultibody dynamicsmultistep methodspartitioned methodsAdams methodbackward differentiation formulae methodsbeta blockingindex 2 Euler Lagrange differential-algebraic equations

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) (n)-body problems (70F10)

Related Items

Convergence of multistep discretizations of DAEs, Highest order multistep formula for solving index-2 differential-algebraic equations, The stabilization of linear multistep methods for constrained mechanical systems, Order reduction of stiff solvers at elastic multibody systems, Regular and singular \(\beta\)-blocking of difference corrected multistep methods for nonstiff index-2 DAEs

Uses Software

• RODAS

Cites Work

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• Symmetrized half-explicit methods for constrained mechanical systems
• A class of half-explicit Runge-Kutta methods for differential-algebraic systems of index 3
• Convergence of multistep discretizations of DAEs
• On One-Leg Multistep Methods
• Extrapolation integrators for constrained multibody systems