A rational approximation and its applications to differential equations on the half line

Journal of Scientific Computing

Volumn 15, Issue 2, 2000, Pages 117-147

  Guo, B Y ^a   Shen, J ^b   Wang, Z Q ^c  

^a School for Educational Science   (China)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

^c Shangai University   (China)

Author keywords

Legendre rational polynomials; Pseudospectral method; Rational approximation; Spectral method

Indexed keywords

FOURIER TRANSFORMS; INTERPOLATION; POLYNOMIALS;

RATIONAL APPROXIMATIONS;

DIFFERENTIAL EQUATIONS;

EID: 0034197003     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007698525506     Document Type: Article

References (15)

1. Handbook of numerical analysis
2. Orthogonal rational functions on a semi-infinite interval
3. Spectral methods using rational basis functions on an infinite interval
4. 2(-∞, ∞) space
5. Gegenbauer approximation and its applications to differential equations on the whole line
6. Error estimation of Hermite spectral method for nonlinear partial differential equations
7. Jacobi approximations in certain Hilbert spaces and their applications to singular differential equations
8. Jacobi spectral approximation and its applications to differential equations on the half line
9. Laguerre-Galerkin method for nonlinear partial differential equations on a semiinfinite interval
10. Reappraisal of Laguerre type spectral methods
11. Efficient spectral-Galerkin method I. Direct solvers for second- and fourth-order equations by using Legendre polynomials