Name
Abstract | ||
|---|---|---|
The existence and uniqueness of the Gaussian interval quadrature formula with respect to the Hermite weight function on R is proved. Similar results have been recently obtained for the Jacobi weight on [-1,1] and for the generalized Laguerre weight on [0,+~). Numerical construction of the Gauss-Hermite interval quadrature rule is also investigated, and a suitable algorithm is proposed. A few numerical examples are included. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.camwa.2007.01.027 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
numerical construction,hermite weight function,similar result,interval gaussian quadrature rule,gaussian interval quadrature formula,gauss-hermite interval quadrature rule,weights,numerical example,generalized laguerre weight,nodes,suitable algorithm,jacobi weight,gaussian quadrature,weight function,quadrature rule | Gauss–Kronrod quadrature formula,Mathematical optimization,Mathematical analysis,Tanh-sinh quadrature,Numerical integration,Clenshaw–Curtis quadrature,Gauss–Hermite quadrature,Gauss–Jacobi quadrature,Gaussian quadrature,Mathematics,Gauss–Laguerre quadrature | Journal |
Volume | Issue | ISSN |
54 | 4 | Computers and Mathematics with Applications |
Citations | PageRank | References |
3 | 0.49 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gradimir V. Milovanović | 1 | 45 | 11.62 |
| Aleksandar S. Cvetković | 2 | 19 | 4.62 |