Name
Abstract | ||
|---|---|---|
The approximate formula of quadrature rules is usually indicated as @!"a^bf(x)dx~@?i=1nw"if(x"i),where x"i are the integration nodes and w"i are the corresponding coefficients. During last decades, various cases of above type formula, such as Gauss quadrature rules, Newton-Cotes rules and so on, have been introduced to somehow estimate x"i and w"i. In this paper, we propose a quadrature model based on a probabilistic approach to estimate the related nodes and coefficients. For this purpose, we apply the normal distribution, as a special case, and present an error analysis for the obtained probabilistic formulas. Some numerical examples are given in this way to show the efficiency of the proposed model. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.amc.2006.09.079 | Applied Mathematics and Computation |
Keywords | Field | DocType |
corresponding coefficient,newton-cotes rule,approximate formula,probability density function,cumulative density function,normal distribution,probabilistic model,statistical distributions,quadrature model,quadrature rules,type formula,quadrature rule,probabilistic formula,gauss quadrature rule,probabilistic approach,statistical distribution,cumulant | Gauss–Kronrod quadrature formula,Applied mathematics,Mathematical analysis,Tanh-sinh quadrature,Numerical integration,Clenshaw–Curtis quadrature,Quadrature domains,Quadrature (mathematics),Probabilistic logic,Gaussian quadrature,Mathematics,Calculus | Journal |
Volume | Issue | ISSN |
187 | 2 | Applied Mathematics and Computation |
Citations | PageRank | References |
1 | 0.36 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mohammad Masjed-Jamei | 1 | 15 | 8.03 |
| Mehdi Dehghan | 2 | 3022 | 324.48 |