[PDF][PDF] Some recent advances on spectral methods for unbounded domains
We present in this paper a unified framework for analyzing the spectral methods in
unbounded domains using mapped Jacobi, Laguerre and Hermite functions. A detailed …
unbounded domains using mapped Jacobi, Laguerre and Hermite functions. A detailed …
Mathematical theory and numerical methods for Bose-Einstein condensation
In this paper, we mainly review recent results on mathematical theory and numerical
methods for Bose-Einstein condensation (BEC), based on the Gross-Pitaevskii equation …
methods for Bose-Einstein condensation (BEC), based on the Gross-Pitaevskii equation …
[LLIBRE][B] Spectral and high-order methods with applications
T Tang - 2006 - math.purdue.edu
This book expands lecture notes by the authors for a course on Introduction of Spectral
Methods taught in the past few years at Penn State University, Simon Fraser University, the …
Methods taught in the past few years at Penn State University, Simon Fraser University, the …
An approximation algorithm for the solution of the nonlinear Lane–Emden type equations arising in astrophysics using Hermite functions collocation method
In this paper we propose a collocation method for solving some well-known classes of Lane–
Emden type equations which are nonlinear ordinary differential equations on the semi …
Emden type equations which are nonlinear ordinary differential equations on the semi …
Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane–Emden type
Lane–Emden equation is a nonlinear singular equation in the astrophysics that corresponds
to the polytropic models. In this paper, a pseudospectral technique is proposed to solve the …
to the polytropic models. In this paper, a pseudospectral technique is proposed to solve the …
A fourth-order time-splitting Laguerre--Hermite pseudospectral method for Bose--Einstein condensates
A fourth-order time-splitting Laguerre--Hermite pseudospectral method is introduced for
Bose--Einstein condensates (BECs) in three dimensions with cylindrical symmetry. The …
Bose--Einstein condensates (BECs) in three dimensions with cylindrical symmetry. The …
Rational Legendre approximation for solving some physical problems on semi-infinite intervals
A numerical technique for solving some physical problems on a semi-infinite interval is
presented. Two nonlinear examples are proposed. In the first example the Volterra's …
presented. Two nonlinear examples are proposed. In the first example the Volterra's …
Rational Chebyshev tau method for solving higher-order ordinary differential equations
An approximate method for solving higher-order ordinary differential equations is proposed.
The approach is based on a rational Chebyshev (RC) tau method. The operational matrices …
The approach is based on a rational Chebyshev (RC) tau method. The operational matrices …
Some progress in spectral methods
BY Guo - Science China Mathematics, 2013 - Springer
In this paper, we review some results on the spectral methods. We first consider the Jacobi
spectral method and the generalized Jacobi spectral method for various problems, including …
spectral method and the generalized Jacobi spectral method for various problems, including …
Sinc-collocation method for solving astrophysics equations
In this paper we propose Sinc-Collocation method for solving Lane–Emden equation which
is a nonlinear ordinary differential equation on a semi-infinite interval. It is found that Sinc …
is a nonlinear ordinary differential equation on a semi-infinite interval. It is found that Sinc …