Parallel computation of two-point boundary-value problems via particular solutions

DOI10.1007/BF00941885zbMath0790.65077OpenAlexW2009169428MaRDI QIDQ1321398

V. Pereyra

Publication date: 23 June 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00941885

zbMATH Keywords

numerical testsparallel computationparallel algorithmsmultipoint boundary value problemstwo-point boundary value problemstrajectory optimizationmethod of particular solutionssequential algorithmsmodified quasilinearization algorithmtrajectory guidance

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Parallel numerical computation (65Y05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (10)

Parallel orthogonal factorization null-space method for dynamic quadratic programming ⋮ Shooting method for the numerical solution of optimal control problems with bounded state variables ⋮ Research on efficient and accurate computing strategies for complex optimal control problems ⋮ The Lie-group shooting method for solving multi-dimensional nonlinear boundary value problems ⋮ Applying differential transformation method to parameter identification problems ⋮ Quasilinearization and rate of convergence for higher-order nonlinear periodic boundary-value problems ⋮ Solution of two-point boundary-value problems using the differential transformation method ⋮ Optimal control ⋮ Multipoint boundary-value solution of two-point boundary-value problems ⋮ Performance of parallel shooting method for closed loop guidance of an optimal launch vehicle trajectory

Cites Work

• Hypercube implementations of parallel shooting
• A hierarchical decomposition for large-scale optimal control problems with parallel processing structure
• Parallel algorithms for solving nonlinear two-point boundary-value problems which arise in optimal control
• Parallel solver for trajectory optimization search directions
• Method of particular solutions for linear, two-point boundary-value problems
• General technique for solving nonlinear, two-point boundary-value problems via the method of particular solutions
• Multipoint solution of two-point boundary-value problems
• Modified quasilinearization method for solving nonlinear, two-point boundary-value problems
• Multipoint approach to the two-point boundary value problem
• Trajectory optimization on a parallel processor
• Parallel Processing Algorithms for the Optimal Control of Nonlinear Dynamic Systems

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