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Approximation of Green's functions

โœ Scribed by F. Beck; B. Fuchssteiner


Publisher
Springer
Year
1970
Tongue
English
Weight
453 KB
Volume
239
Category
Article
ISSN
0939-7922

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Discrete Green's Functions
โœ Fan Chung; S.-T. Yau ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 165 KB

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.

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## Abstract Asymptotic approximations for Green's function for the operator โˆ’ฮ” in a long rod are derived. These approximations are uniformly valid over the whole domain including the end regions of the rod. Connections are established between the asymptotic approximations in a long rod and the asym