Fourierization of the Legendre–Galerkin method and a new space ...

Abstract. A set of Fourier-like basis functions is constructed for Legendre–Galerkin method for non-periodic boundary value problems and a new space–time ...

A set of Fourier-like basis functions is constructed for Legendre–Galerkin method for non-periodic boundary value problems and a new space–time ...

Fourierization of the Legendre--Galerkin method and a new space

A set of Fourier-like basis functions is constructed for Legendre-Galerkin method for non-periodic boundary value problems and a new space-time spectral method ...

[PDF] Fourierization of the Legendre--Galerkin method and a new ...

Semantic Scholar extracted view of "Fourierization of the Legendre--Galerkin method and a new space--time spectral method" by Jie Shen et al.

مرکز منطقه ای اطلاع رساني علوم و فناوري - Fourierization of the ... - ISC

title:Fourierization of the Legendre–Galerkin method and a new space–time spectral method Original Research Article author:Jie Shen، نويسنده , , Li-lian ...

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A space-time spectral Petrov-Galerkin spectral method for time ...

[21] Jie Shen and Li-Lian Wang. Fourierization of the Legendre-Galerkin method and a new space–time spectral method. Applied numerical mathematics, 57(5):710– ...

A Space-Time Legendre-Petrov-Galerkin Method for Third-Order ...

The Legendre-Petrov-Galerkin discretization is employed in both space and time. In the theoretical analysis, rigorous proof of error estimates in the weighted ...

Eigenvalue analysis and applications of the Legendre dual-Petrov ...

Shen, J., Wang, L.-L.: Fourierization of the Legendre-Galerkin method and a new space-time spectral method. Appl. Numer. Math. 57, 710–720 ...

A Legendre-tau-Galerkin method in time for two-dimensional ...

This work is devoted to present the Legendre space-time spectral method for two-dimensional (2D) Sobolev equations. Considering the asymmetry of the ...

(PDF) A Space-Time Legendre-Petrov-Galerkin Method for Third ...

The Legendre-Petrov-Galerkin discretization is employed in both space and time. In the theoretical analysis, rigorous proof of error estimates ...

Efficient Legendre dual-Petrov-Galerkin methods for odd-order ...

Recently, Ma and Sun [12,13] developed an efficient Legendre-Petrov-Galerkin and Chebyshev collocation method for the third-order differential equations and ...

An accurate and efficient space-time Galerkin spectral method for ...

Suitable ψ-fractional Sobolev spaces and the new variational framework are introduced to establish the well-posedness of the associated ...

Efficient Chebyshev-Legendre Galerkin Methods for Elliptic Problems

The new method is based on a Legendre-Galerkin formulation, but only the ... form between the physical space (values at the Legendre-. Gauss-Lobatto ...

Assistant Professor Wang Li-Lian

Computer Methods in Applied Mechanics and Engineering. 196, 3785-3797 (2007). Fourierization of the Legendre-Galerkin method and a new space- ...

Alikhanov Legendre—Galerkin Spectral Method for the Coupled ...

A finite difference/Galerkin spectral discretization for the temporal and spatial fractional coupled Ginzburg–Landau system is proposed and analyzed.

Legendre-Petrov-Galerkin Chebyshev spectral collocation method ...

We propose a Legendre-Petrov-Galerkin Chebyshev spectral collocation method for initial value problems (IVPs) of second-order nonlinear ordinary ...

[PDF] E-cient Chebyshev-Legendre Galerkin Methods for Elliptic ...

Fourierization of the Legendre--Galerkin method and a new space--time spectral method · Jie ShenLilian Wang. Engineering, Mathematics. 2007. 104 Citations · PDF.

A Legendre-tau-Galerkin method in time for two-dimensional ... - OUCI

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This work is devoted to present the Legendre space-time spectral method for two-dimensional (2D) Sobolev equations. Considering the asymmetry of ...

A Legendre–Galerkin Spectral Method for Optimal Control Problems ...

In this paper, we study the Legendre–Galerkin spectral approximation for a constrained optimal control problem. We first derive a priori error estimates for ...