An integrated Runge-Kutta root finding method for reliable collision detection in multibody systems

DOI10.1007/s11044-005-2640-6zbMath1103.70002OpenAlexW2009529035MaRDI QIDQ2433207

Gerald Grabner, Andrés Kecskeméthy

Publication date: 27 October 2006

Published in: Multibody System Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11044-005-2640-6

zbMATH Keywords

polynomialsobject-oriented codeDormand scheme

Mathematics Subject Classification ID

Other programming paradigms (object-oriented, sequential, concurrent, automatic, etc.) (68N19) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Dynamics of multibody systems (70E55) Collision of rigid or pseudo-rigid bodies (70F35)

Uses Software

• Modelica
• LSODE
• ODEPACK

Cites Work

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• Locating special events when solving ODEs
• A family of embedded Runge-Kutta formulae
• Efficient integration over discontinuities in ordinary differential equation simulations
• Event location for ordinary differential equations
• Efficient integration over discontinuities for differential-algebraic systems
• State event location in differential-algebraic models
• Reliable solution of special event location problems for ODEs
• A modified regula falsi method for computing the root of an equation

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