Pointwise Bounds for Discrete Green’s Functions
✍ Scribed by Bramble, J. H.; Thomée, V.
- Book ID
- 118182540
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1969
- Tongue
- English
- Weight
- 495 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0036-1429
- DOI
- 10.1137/0706053
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We study discrete Green's functions and their relationship with discrete Laplace equations. Several methods for deriving Green's functions are discussed. Green's functions can be used to deal with diffusion-type problems on graphs, such as chipfiring, load balancing, and discrete Markov chains.
We study the pointwise behavior of perturbations from a viscous shock solution to a scalar conservation law, obtaining an estimate independent of shock strength. We find that for a perturbation with initial data decaying algebraically or slower, the perturbation decays in time at the rate of decay o