Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation
نویسندگان
چکیده
منابع مشابه
A Legendre Pseudospectral Viscosity Method
entropy flux F is related to U and to the flux f by F 9 5 U 9f 9. The (weak) solution of (1.1)–(1.4) is then unique. We use the Legendre spectral viscosity method to solve nonlinear conservation laws. This method essentially consists in adding a In this paper, we are interested in computing the entropic spectral viscosity to the equations for the high wavenumbers of solution of Eq. (1.1), i.e.,...
متن کاملSparse pseudospectral approximation method
Multivariate global polynomial approximations – such as polynomial chaos or stochastic collocation methods – are now in widespread use for sensitivity analysis and uncertainty quantification. The pseudospectral variety of these methods uses a numerical integration rule to approximate the Fourier-type coefficients of a truncated expansion in orthogonal polynomials. For problems in more than two ...
متن کاملMixed Laguerre-Legendre pseudospectral method for incompressible fluid flow in an infinite strip
In this paper, we investigate the mixed Laguerre-Legendre interpolation approximation and its application. Some approximation results are established. A mixed Laguerre-Legendre pseudospectral scheme is constructed for incompressible fluid flow in an infinite strip. Its stability and convergence are proved. Numerical results show the efficiency of this new approach.
متن کاملGeneralized Laguerre Interpolation and Pseudospectral Method for Unbounded Domains
In this paper, error estimates for generalized Laguerre–Gauss-type interpolations are derived in nonuniformly weighted Sobolev spaces weighted with ωα,β(x) = x αe−βx, α > −1, β > 0. Generalized Laguerre pseudospectral methods are analyzed and implemented. Two model problems are considered. The proposed schemes keep spectral accuracy and, with suitable choice of basis functions, lead to sparse a...
متن کاملLegendre Pseudospectral Approximations of Optimal Control Problems
We consider nonlinear optimal control problems with mixed statecontrol constraints. A discretization of the Bolza problem by a Legendre pseudospectral method is considered. It is shown that the operations of discretization and dualization are not commutative. A set of Closure Conditions are introduced to commute these operations. An immediate consequence of this is a Covector Mapping Theorem (C...
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: Journal of Computational and Applied Mathematics
سال: 2006
ISSN: 0377-0427
DOI: 10.1016/j.cam.2004.11.053