Efficient automatic integration of ordinary differential equations with discontinuities

DOI10.1016/0378-4754(81)90003-3zbMath0469.65054OpenAlexW2051088973MaRDI QIDQ1157114

S. H. Smith

Publication date: 1981

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(81)90003-3

zbMATH Keywords

Hermite interpolationRunge-Kuttaclassification of discontinuitiesdetecting and locating discontinuitiesefficient automatic integration

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Computer aspects of numerical algorithms (65Y99)

Related Items (3)

An efficient unified approach for the numerical solution of delay differential equations ⋮ Event-driven integration of linear structural dynamics models under unilateral elastic constraints ⋮ Numerical methods of initial value problems

Uses Software

• GASP IV

Cites Work

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• Solving ordinary differential equations for simulation
• Efficient integration over discontinuities in ordinary differential equation simulations
• Integration routines for systems with discontinuities
• Step Size Adjustment at Discontinuities for Fourth Order Runge-Kutta Methods

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