Global error estimates for the standard parallel shooting method

DOI10.1016/0377-0427(91)90045-LzbMath0723.65062MaRDI QIDQ756949

Pietro Marzulli

Publication date: 1991

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

error estimationsystemglobal discretization errorparallel shooting algorithm

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to PDEs (35B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (10)

Error estimates for parallel shooting using initial or boundary value methods ⋮ Numerical solutions of second-order matrix models using cubic-matrix splines ⋮ Numerical approximations of second-order matrix differential equations using higher degree splines ⋮ On the parallel version of the successive approximation method for quasilinear boundary value problem ⋮ Parallel shooting with error estimate for increasing the accuracy ⋮ Higher order implicit multistep methods for matrix differential equations ⋮ Numerical solutions of matrix differential models using higher-order matrix splines ⋮ Least-squares solutions of boundary-value problems in hybrid systems ⋮ Error estimates for shooting methods in two-point boundary value problems for second-order equations ⋮ Numerical solution of matrix differential models using cubic matrix splines

Cites Work

• Estimation of the global discretization error in shooting methods for linear boundary value problems
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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