Multiple shooting using a dichotomically stable integrator for solving differential-algebraic equations

DOI10.1016/S0168-9274(01)00145-3zbMath0999.65082MaRDI QIDQ1612452

Jesús López-Estrada, Roland England, René Lamour

Publication date: 22 August 2002

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

zbMATH Keywords

stiff systemsimplicit Runge-Kutta methodboundary-value problemsbackward differentiation formulavariable step-sizemultiple shootingdichotomic stabilityindex-one differential-algebraic equationsLobatto IIA formulae

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 solution of boundary value problems involving ordinary differential equations (65L10) Numerical methods for differential-algebraic equations (65L80) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

Parallel indirect solution of optimal control problems ⋮ Boundary-Value Problems for Differential-Algebraic Equations: A Survey ⋮ Parallel collocation solution of index-1 BVP-DAEs arising from constrained optimal control problems

Uses Software

• COLNEW
• RODAS

Cites Work

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