Computation of the canonical polynomials and applications to some optimal control problems
DOI10.1007/s11075-012-9550-5zbMath1257.65039OpenAlexW2053870969MaRDI QIDQ695050
Mohamed K. El-Daou, Khaled M. Al-Hamad
Publication date: 20 December 2012
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-012-9550-5
algorithmcollocation methodorthogonal polynomialsnumerical examplestau methodoptimal control problemscanonical polynomials
Numerical optimization and variational techniques (65K10) Linear ordinary differential equations and systems (34A30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Discrete approximations in optimal control (49M25)
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Cites Work
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- Direct and indirect methods for trajectory optimization
- An operational approach to the Tau method for the numerical solution of non-linear differential equations
- The Tau method as an analytic tool in the discussion of equivalence results across numerical methods
- A recursive formulation of collocation in terms of canonical polynomials
- Pseudospectral Legendre-based optimal computation of nonlinear constrained variational problems
- Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials
- A Chebyshev Finite Difference Method For Solving A Class Of Optimal Control Problems
- The Chebyshev–Legendre collocation method for a class of optimal control problems
- Numerical solution of the controlled Duffing oscillator by semi-orthogonal spline wavelets
- The Tau Method
- Canonical vector polynomials for the computation of complex order Bessel functions with the tau method
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