Efficient Spectral|Galerkin Method I. Direct Solvers of Second

Efficient Spectral-Galerkin Method I. Direct Solvers for the Second ...

We present some efficient algorithms based on the Legendre-Galerkin approxima- tions for the direct solution of the second and fourth order elliptic equations.

Efficient Spectral-Galerkin Method I. Direct Solvers of Second

It is well known that spectral methods (tau, Galerkin, collocation) have a condition number of O(N4 ) (N is the number of retained modes of polynomial ...

Efficient Spectral-Galerkin Method I. Direct Solvers of Second

EFFICIENT SPECTRAL-GALERKIN METHOD I. DIRECT SOLVERS OF SECOND- AND FOURTH-ORDER EQUATIONS USING. LEGENDRE POLYNOMIALS*. JIE SHEN. Abstract.

Efficient Spectral-Galerkin Method II. Direct Solvers of Second and ...

Abstract. Efficient direct solvers based on the Chebyshev-Galerkin methods for second and fourth order equations are presented.

Efficient Spectral-Galerkin Method I. Direct Solvers of Second and ...

A family of higher-order iterative methods for the simultaneous determination of all simple or multiple zeros of an analytic function (inside a simple smooth ...

Efficient Spectral-Galerkin Method I. Direct - ProQuest

Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials ... You might have access to the full ...

[PDF] Efficient Spectral-Galerkin Method I. Direct Solvers of Second

Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials · Jie Shen · Published in SIAM Journal on ...

Efficient Spectral-Galerkin Method I. Direct Solvers of Second

This paper presents some efficient algorithms based on the Legendre–Galerkin approximations for the direct solution of the second- and fourth-order elliptic ...

Efficient Spectral-Galerkin Method I. Direct Solvers of Second

This paper presents some efficient algorithms based on the Legendre-Galerkin approximations for the direct solution of the second- and fourth-order elliptic ...

Efficient spectral-Galerkin algorithms for direct solution for second ...

This paper presents some efficient spectral algorithms, which have a condition number of O ( N 2 ) , based on the Jacobi–Galerkin methods of ...

(PDF) Efficient Spectral-Galerkin Method II. Direct Solvers of Second

PDF | Efficient direct solvers based on the Chebyshev-Galerkin methods for second and fourth order equations are presented. They are based on.

Efficient spectral-Galerkin algorithms for direct solution of fourth ...

Jacobi–Galerkin methods for fourth-order equations in two dimension are considered. Numerical results indicate that the direct solvers presented in this paper ...

[PDF] Efficient Spectral-Galerkin Method II. Direct Solvers of Second

than those based on the Chebyshev-tau method. Efficient direct solvers based on the Chebyshev–Galerkin methods for second- and fourth-order equations are ...

Efficient Spectral-Galerkin Method II. Direct Solvers of Second

Efficient direct solvers based on the Chebyshev–Galerkin methods for second- and fourth-order equations are presented. They are based on appropriate base ...

Efficient spectral-Galerkin algorithms for direct solution of the ...

This paper presents some efficient spectral algorithms, which have a condition number of O(N2), based on the ultraspherical-Galerkin methods for the integrated ...

Efficient Spectral-Galerkin Method II. Direct Solvers of Second

Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials.

Shen, J. (1995) Efficient Spectral-Galerkin Method II. Direct Solvers ...

Shen, J. (1995) Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials. SIAM Journal on ...

References — shenfun 4.2.1 documentation

Jie Shen. Efficient spectral-galerkin method i. direct solvers of second- and fourth-order equations using legendre polynomials. SIAM Journal on Scientific ...

Efficient Chebyshev-Legendre Galerkin methods for elliptic problems

Phys., 37:70-92, 1980. Jie Shen. Efficient spectral-Galerkin method i. direct solvers for second- and fourth-order equations by us- ing Legendre polynomials ...

An Efficient Spectral Method for Elliptic PDEs in Complex Domains ...

which is essentially the same order as the spectral-Galerkin algorithm for second-order ... Direct solvers for second- and fourth-order equa- tions by using ...