A continuation method for spatially discretized models with nonlocal interactions conserving size and shape of cells and lattices
Abstract
In this paper, we introduce a continuation method for the spatially discretized models, while conserving the size and shape of the cells and lattices. This proposed method is realized using the shift operators and nonlocal operators of convolution types. Through this method and using the shift operator, the nonlinear spatially discretized model on the uniform and nonuniform lattices can be systematically converted into a spatially continuous model; this renders both models point-wisely equivalent. Moreover……
Read more on Journal of Mathematical Biology
Article Information:
Ei, SI., Ishii, H., Sato, M. et al. A continuation method for spatially discretized models with nonlocal interactions conserving size and shape of cells and lattices. J. Math. Biol. 81, 981–1028 (2020).
DOI: 10.1007/s00285-020-01534-6
