GEGENBAUER COLLOCATION INTEGRATION METHODS: ADVANCES IN COMPUTATIONAL OPTIMAL CONTROL THEORY

DOI10.1017/S0004972713001044zbMath1297.49056OpenAlexW1967231059MaRDI QIDQ5406106

Kareem T. Elgindy

Publication date: 1 April 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972713001044

zbMATH Keywords

Chebyshev polynomialsGegenbauer polynomialsLegendre polynomialscollocation pointsGegenbauer quadraturedirect optimisation methodsGegenbauer collocation integration method

Mathematics Subject Classification ID

Numerical methods based on nonlinear programming (49M37) Existence theories for optimal control problems involving ordinary differential equations (49J15) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (1)

Optimal control of a parabolic distributed parameter system using a fully exponentially convergent barycentric shifted Gegenbauer integral pseudospectral method

Cites Work

• On the optimization of Gegenbauer operational matrix of integration
• Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices
• Optimal Gegenbauer quadrature over arbitrary integration nodes
• Fast, accurate, and small-scale direct trajectory optimization using a Gegenbauer transcription method

This page was built for publication: GEGENBAUER COLLOCATION INTEGRATION METHODS: ADVANCES IN COMPUTATIONAL OPTIMAL CONTROL THEORY