- pseudospectral
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Describing a class of numerical analysis methods related to spectral methods
Wikipedia foundation.
Wikipedia foundation.
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