Name
Title | ||
|---|---|---|
A fast multiscale Galerkin method for solving second order linear Fredholm integro-differential equation with Dirichlet boundary conditions. |
Abstract | ||
|---|---|---|
In this paper, a fast multiscale Galerkin method is developed for solving second order linear Fredholm integro-differential equation with Dirichlet boundary conditions. The method is based on a matrix truncation strategy which leads to generating coefficient matrix rapidly. We prove that the method is stable and has an optimal convergence order and nearly linear computational complexity (up to a logarithmic factor). Numerical examples are presented to illustrate its computational efficiency, approximation accuracy and theoretical results, and to compare the computed results with those of the original multiscale Galerkin method proposed recently by the same authors. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.cam.2019.112352 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
45J05,65R20 | Convergence (routing),Truncation,Coefficient matrix,Mathematical analysis,Matrix (mathematics),Galerkin method,Dirichlet boundary condition,Integro-differential equation,Logarithm,Mathematics | Journal |
Volume | ISSN | Citations |
364 | 0377-0427 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jian Chen | 1 | 2 | 1.10 |
| Minfan He | 2 | 0 | 0.34 |
| Yong Huang | 3 | 0 | 0.34 |