Abstract
A two-grid discretization scheme is proposed for solving eigenvalue problems, including both partial differential equations and integral equations. With this new scheme, the solution of an eigenvalue problem on a fine grid is reduced to the solution of an eigenvalue problem on a much coarser grid, and the solution of a linear algebraic system on the fine grid and the resulting solution still maintains an asymptotically optimal accuracy.
Original language | English (US) |
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Pages (from-to) | 17-25 |
Number of pages | 9 |
Journal | Mathematics of Computation |
Volume | 70 |
Issue number | 233 |
DOIs | |
State | Published - Jan 1 2001 |
Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory
- Computational Mathematics
- Applied Mathematics