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

Fourierization of the Legendre–Galerkin method and a new space–time spectral method. J Shen, LL Wang. Applied Numerical Mathematics 57 (5-7), 710-720, 2007.

A New Dual-Petrov-Galerkin Method for Third and Higher Odd-Order ...

The method leads to linear systems which are sparse for problems with constant coefficients and well conditioned for problems with variable coefficients. Our ...

NSF Award Search: Award # 0311915 - Fast Spectral-Galerkin ...

Wang "Fourierization of the Legendre-Galerkin method and a new space-time spectral method." Appl. Numer. Math. , v.57 , 2007 , p.710. Qirong Fang, D ...

‪Li-Lian Wang‬ - ‪Google Scholar‬

Fourierization of the Legendre–Galerkin method and a new space–time spectral method. J Shen, LL Wang. Applied Numerical Mathematics 57 (5-7), 710-720, 2007.

Efficient Chebyshev-Legendre Galerkin methods for elliptic problems

form between the physical space (values at the Legendre- ... Section 4, we present some numerical results which demon- strate the efficiency of the new method.

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

Shen J and Wang L-L Fourierization of the Legendre-Galerkin method and a new space-time spectral method Appl. Numer. Math. 2007 57 710-720.

A unified spectral method for FPDEs with two-sided derivatives; part I

Recalling that in one dimension the Lévy process Y (t) with Fourier ... Wang, Fourierization of the Legendre–Galerkin method and a new space–time spectral method, ...

Efficient and accurate Chebyshev dual-Petrov-Galerkin methods for ...

Shen and L.L. Wang, Fourierization of the Legendre-Galerkin method and a new space-time spectral method, Appl. Numer. Math., 57 (2007), 710–720. [28] J.M. ...

A Legendre spectral‐Galerkin method for fourth‐order problems in ...

With appropriately constructed weighted Sobolev space, a weak form is established. Based on this weak form, a spectral-Galerkin discretization ...

A SPACE-TIME SPECTRAL METHOD FOR THE TIME FRACTIONAL ...

... finite difference scheme in time and Legendre spectral method in ... Shen and L. L. Wang, Fourierization of the Legendre-Galerkin method and a new space.

A new σ‐transform based Fourier‐Legendre‐Galerkin model for ...

At the heart of the numerical method is the solution to the Laplace equation which is solved using a variant of the 𝜎-transform. The method discretizes the ...

Galerkin Method and Its Residual Correction with Modified ...

... Galerkin method with modified Legendre polynomials, and the error differential equation (4) has also been solved by the same method. We ...

Efficient Space-Time Spectral Methods for Second-Order Problems ...

... Galerkin method using simultaneously orthogonal functions (2.16) in space ... Shen, J., Wang, L.L.: Fourierization of the Legendre–Galerkin method and a new space ...

Space-time spectral method for the Stokes problem

Wang, Fourierization of the Legendre–Galerkin method and a new space–time spectral method, Appl. Numer. Math. 57 (5) (2007) 710–720, https ...

Implicit Runge‐Kutta with spectral Galerkin methods for the ...

An efficient numerical method with high accuracy both in time and in space is proposed for solving d $$ d $$ -dimensional fractional diffusion equation with ...

NSF Award Search: Award # 0509665 - Collaborative research

Jie Shen "Fourierization of the Legendre-Galerkin method and a new space-time spectral method" Appl. Numer. Math. , v.57 , 2007 , p.710. Jean-Luc Guermond ...

A Unified Spectral Method for FPDEs with Two-sided Derivatives; part I

Wang, Fourierization of the Legendre–Galerkin method and a new space–time spectral method, Applied numerical mathematics. 57 (5) (2007) 710–720.

LANDAU LEGENDRE WAVELET GALERKIN METHOD APPLIED ...

We developed a Landau Legendre wavelet Galerkin method for finding the solution of the problem. The MBP of a system of PDEs is transformed into a variable ...

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

More recently, a numerical algorithm was proposed for the time–space fractional Ginzburg–Landau equation by a high- order difference/Galerkin ...

Numerical solution for the linear time and space fractional diffusion ...

Shen J, Wang LL (2007) Fourierization of the Legendre-Galerkin method and a new space-time spectral method. Applied Numerical Mathematics 57(5–7): 710–720 ...