Name
Title | ||
|---|---|---|
Lubich convolution quadratures and their application to problems described by space-time BIEs |
Abstract | ||
|---|---|---|
In the last years several authors have used Lubich convolution quadrature formulas to discretize space-time boundary integral equations representing time dependent problems. These rules have the fundamental property of not using explicitly the expression of the kernel of the integral equation they are applied to, which is instead replaced by that of its Laplace transform, usually given by a simple analytic function. In this paper, a review of these rules, which includes their main properties, several new remarks and some conjectures, will be presented when they are applied to the heat and wave space-time boundary integral equation formulations. The construction and behavior of the corresponding coefficients are analyzed and tested numerically. When the quadrature is defined by a BDF method, a new approach for the representation of its coefficients is presented. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/s11075-010-9394-9 | Numerical Algorithms |
Keywords | Field | DocType |
Quadrature rules,Discrete convolution,Space-time boundary integral equations,Wave equation,Heat equation,65D32,65M38 | Summation equation,Nyström method,Mathematical optimization,Laplace transform,Mathematical analysis,Clenshaw–Curtis quadrature,Integral equation,Integro-differential equation,Partial differential equation,Mathematics,Volterra integral equation | Journal |
Volume | Issue | ISSN |
56 | 3 | 1017-1398 |
Citations | PageRank | References |
4 | 0.57 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Giovanni Monegato | 1 | 21 | 3.07 |
| L. Scuderi | 2 | 22 | 4.92 |
| Marija P. Stanić | 3 | 11 | 2.61 |