Efficient integration over discontinuities in ordinary differential equation simulations

DOI10.1016/0378-4754(78)90068-XzbMath0398.65044WikidataQ115363214 ScholiaQ115363214MaRDI QIDQ1254093

M. B. Carver

Publication date: 1978

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

zbMATH Keywords

Numerical MethodsInitial Value ProblemsOrdinary Differential EquationDynamic SystemsIntegration AlgorithmPredictor Corrector IntegrationStep Size ControlStiff Equation Sets

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Control/observation systems governed by ordinary differential equations (93C15) Dynamical systems and ergodic theory (37-XX)

Related Items (9)

Event-driven integration of linear structural dynamics models under unilateral elastic constraints ⋮ An integrated Runge-Kutta root finding method for reliable collision detection in multibody systems ⋮ A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side ⋮ Efficient automatic integration of ordinary differential equations with discontinuities ⋮ Global solution of optimization problems with parameter-embedded linear dynamic systems. ⋮ On the use of rootfinding ODE software for the solution of a common problem in nonlinear dynamical systems ⋮ Event location for ordinary differential equations ⋮ Efficient integration over discontinuities for differential-algebraic systems ⋮ An efficient algorithm for solving piecewise-smooth dynamical systems

Uses Software

• GEAR
• FORSIM VI

Cites Work

• Unnamed Item
• On Numerical Integration of Ordinary Differential Equations
• Integration across discontinuities in ordinary differential equations using power series
• Integration routines for systems with discontinuities
• Step Size Adjustment at Discontinuities for Fourth Order Runge-Kutta Methods
• The automatic integration of ordinary differential equations

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