FAQ

Chebyshev pseudospectral method

The Chebyshev pseudospectral method for optimal control problems is based on Chebyshev polynomials of the first kind. It is part of the larger theory… (More)
Wikipedia

Topic mentions per year

Topic mentions per year

1994-2016
02419942016

Related topics

Related topics

11 relations
Chebyshev polynomialsClenshaw–Curtis quadratureDIDOGauss pseudospectral method
(More)

Broader (2)

Control theoryNumerical analysis

Related mentions per year

Related mentions per year

1936-2018
19401960198020002020
Chebyshev pseudospectral method
Numerical analysis
Control theory
Optimal control
Chebyshev polynomials
Gauss pseudospectral method

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Chebyshev Pseudospectral Method for Nonlinear Stabilization using Control Contraction Metrics
Real-time implementation of the control contraction metric (CCM) method for nonlinear stabilization involves computation of a… (More)
  • figure 1
  • figure 2
  • table I
  • figure 3
  • figure 5
Is this relevant?
2016
2016
Three-dimensional optimal formation reconfiguration for Multi-UAVs based on Chebyshev pseudospectral method
This paper studies the three-dimensional elastic formation control problem of multiple unmanned aerial vehicles (Multi-UAVs). To… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2013
2013
A Fast Poisson Solver by Chebyshev Pseudospectral Method Using Reflexive Decomposition
Poisson equation is frequently encountered in mathematical modeling for scientific and engineering applications. Fast Poisson… (More)
  • table 1
  • figure 1
Is this relevant?
2011
2011
Lunar soft landing trajectory optimization by a Chebyshev pseudospectral method
The optimization of lunar soft landing trajectory is an optimization control problem with non-linear free terminal time and… (More)
Is this relevant?
2009
2009
A Chebyshev pseudospectral method for nonlinear constrained optimal control problems
We analyze a few long-standing issues related to the Chebyshev pseudospectral (PS) approximations of nonlinear constrained… (More)
  • figure 1
  • figure 2
Is this relevant?
2009
2009
Mapped Chebyshev pseudospectral method for the study of multiple scale phenomena
In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
Review
2008
Review
2008
Chebyshev pseudospectral method for computing numerical solution of convection-diffusion equation
A method for computing highly accurate numerical solutions of 1D convection–diffusion equations is proposed. In this method, the… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2007
2007
Mapped Chebyshev Pseudospectral Method to Study Multiple Scale Phenomena
In the framework of mapped pseudospectral methods, we introduce a new polynomialtype mapping function in order to describe… (More)
  • figure 2.1
  • figure 2.2
  • figure 3.1
  • figure 3.2
  • figure 3.3
Is this relevant?
1998
1998
On a Modiied Chebyshev Pseudospectral Method
presents a modiied Chebyshev pseudospec-tral method, involving mapping of the Chebyshev points, for solving rst-order hyperbolic… (More)
Is this relevant?
1996
1996
Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems
Pseudospectral methods are investigated for singularly perturbed boundary value problems for ordinary diierential equations which… (More)
Is this relevant?