pseudospectral

pseudospectral
Describing a class of numerical analysis methods related to spectral methods

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  • Pseudospectral optimal control — Pseudospectral (PS) optimal control is a computational method for solving optimal control problems. PS optimal controllers have beenextensively used to solve a wide range of problems such as those arising in UAV trajectory generation, missile… …   Wikipedia

  • Gauss pseudospectral method — The Gauss Pseudospectral Method (abbreviated GPM ) is a direct transcription method for discretizing a continuous optimal control problem into a nonlinear program (NLP). The Gauss pseudospectral method differs from several other pseudospectral… …   Wikipedia

  • Chebyshev pseudospectral method — The Chebyshev pseudospectral method for optimal control problems is based on Chebyshev polynomials of the first kind. Unlike the Legendre pseudospectral method, the Chebyshev pseudospectral (PS) method does not immediately offer high accuracy… …   Wikipedia

  • DIDO (software) — DIDO is a MATLAB program for solving hybrid optimal control problems. Powered by the pseudospectral knotting method, the general purpose program is named after Dido, the legendary founder and first queen of Carthage who is famous in mathematics… …   Wikipedia

  • Optimal control — theory, an extension of the calculus of variations, is a mathematical optimization method for deriving control policies. The method is largely due to the work of Lev Pontryagin and his collaborators in the Soviet Union[1] and Richard Bellman in… …   Wikipedia

  • Spectral method — Spectral methods are a class of techniques used in applied mathematics and scientific computing to numerically solve certain Dynamical Systems, often involving the use of the Fast Fourier Transform. Where applicable, spectral methods have… …   Wikipedia

  • DIDO (optimal control) — DIDO is a user friendly MATLAB program for solving hybrid optimal control problems. The general purpose program is named after Dido, the legendary founder and first queen of Carthage who is famous in mathematics for her remarkable solution to a… …   Wikipedia

  • Computational electromagnetics — Computational electromagnetics, computational electrodynamics or electromagnetic modeling is the process of modeling the interaction of electromagnetic fields with physical objects and the environment. It typically involves using computationally… …   Wikipedia

  • Korteweg–de Vries equation — In mathematics, the Korteweg–de Vries equation (KdV equation for short) is a mathematical model of waves on shallow water surfaces. It is particularly notable as the prototypical example of an exactly solvable model, that is, a non linear partial …   Wikipedia

  • Numerical partial differential equations — is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs). Numerical techniques for solving PDEs include the following: The finite difference method, in which functions are represented by… …   Wikipedia

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