On stratified extensions of Gauss-Laguerre and Gauss-Hermite quadrature formulas

Journal of Computational and Applied Mathematics

Volumn 140, Issue 1-2, 2002, Pages 291-299

  Ehrich, Sven ^a  

^a INSTITUTE OF EPIDEMIOLOGY   (Germany)

Author keywords

Error estimation; Extended quadrature formulas; Gauss Hermite quadrature formulas; Gauss Laguerre quadrature formulas

Indexed keywords

ERROR ANALYSIS; QUADRATIC PROGRAMMING;

QUADRATURE FORMULAS;

COMPUTATIONAL METHODS;

MATHEMATICAL ANALYSIS;

EID: 0036502936     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(01)00407-1     Document Type: Article

References (24)

1. Suboptimal Kronrod extension formulas for numerical quadrature
2. The Gaussian quadrature method
3. Stieltjes polynomials and the error of Gauss-Kronrod quadrature formulas
4. Stopping functionals for Gaussian quadrature formulas
5. A survey of stopping rules in quadrature based on Peano kernel methods
6. Gauss-Kronrod quadrature-a survey
7. Nonexistence of extended Gauss-Laguerre and Gauss-Hermite quadrature rules with positive weights
8. Addition of points to Gauss-Laguerre quadrature formulas
9. Integration with control of accuracy
10. Stratified sequences of nested quadrature formulas
11. Anti-Gaussian quadrature formulas
12. An overview of results and questions related to Kronrod schemes
13. Stieltjes polynomials and related quadrature rules
14. An overview of results on the existence or nonexistence and the error term of Gauss-Kronrod quadrature formulae
15. Modified optimal quadrature extensions
16. Stratified nested and related quadrature rules
17. QUADPACK - A subroutine package for automatic integration