Improving the efficiency of the multiple shooting technique

DOI10.1016/0898-1221(92)90161-AzbMath0766.65063MaRDI QIDQ1205927

Luis Rández

Publication date: 1 April 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Runge-Kutta pairmultiple shootingJacobian matrix evaluationreduction of Jacobian matrix evaluation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (1)

A polyvalent Runge-Kutta triple

Cites Work

• Interpolation for variable order, Runge-Kutta methods
• General framework, stability and error analysis for numerical stiff boundary value methods
• A family of embedded Runge-Kutta formulae
• On the simultaneous numerical integration of an IVP and its associated variational equation
• A polyvalent Runge-Kutta triple
• Explicit Runge–Kutta Methods with Estimates of the Local Truncation Error
• Error estimates for Runge-Kutta type solutions to systems of ordinary differential equations
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