Name
Abstract | ||
|---|---|---|
In some applications, one has to deal with the problem of integrating, over a bounded interval, a smooth function taking significant values, with respect to the machine precision or to the accuracy one wants to achieve, only in a very small part of the domain of integration. In this paper, we propose a simple and efficient numerical approach to compute or discretize integrals of this type. We also consider a class of second kind integral equations whose integral operator has the above behavior. Some numerical testing is presented. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.cam.2011.12.018 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
machine precision,small significant support,discretize integral,smooth function,bounded interval,integral operator,numerical integration,numerical testing,small part,significant value,efficient numerical approach,kind integral equation | Discretization,Mathematical optimization,Numerical testing,Mathematical analysis,Numerical integration,Integral equation,Machine epsilon,Operator (computer programming),Smoothness,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
236 | 16 | 0377-0427 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| G. Mastroianni | 1 | 29 | 7.96 |
| G. Monegato | 2 | 64 | 17.11 |