Prediction of Dynamic Stability Using Mapped Chebyshev Pseudospectral Method
نویسندگان
چکیده
منابع مشابه
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 accurately the dynamics of systems developing almost singular structures. Using error criteria related to the spectral interpolation error, the new polynomialtype mapping is compared against previously proposed mappings for the study of collapse and shock wave phenomena. As...
متن کاملThe Stability of Pseudospectral - Chebyshev Methods
The stability of pseudospectral-Chebyshev methods is demonstrated for parabolic and hyperbolic problems with variable coefficients. The choice of collocation points is discussed. Numerical examples are given for the case of variable coefficient hyperbolic equations.
متن کاملMapped 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 institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a r t i c l e i n f o a b s t r a c t In the framework of mapped pseudospectral methods, we use a polynomial-type mapping fu...
متن کاملChebyshev 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 shortest path (a geodesic) between pairs of states. In this paper we propose the use of a direct numerical method, namely a Chebyshev pseudospectral method, to compute a geodesic. We investigate the influence of various parameters and tolerances and provide practical rec...
متن کاملOn a Modiied Chebyshev Pseudospectral Method
presents a modiied Chebyshev pseudospec-tral method, involving mapping of the Chebyshev points, for solving rst-order hyperbolic initial boundary value problems. It is conjectured that the time step restriction for the modiied method is O(N ?1) compared to O(N ?2) for the standard Chebyshev pseudospectral method, where N is the number of discretization points in space. In the present paper we s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Aerospace Engineering
سال: 2018
ISSN: 1687-5966,1687-5974
DOI: 10.1155/2018/2508153