@article {37370,
	title = {Adaptive hyperbolic-cross-space mapped Jacobi method on unbounded domains with applications to solving multidimensional spatiotemporal integrodifferential equations},
	journal = {Journal of Computational Physics},
	volume = {520},
	year = {2025},
	pages = {113492},
	abstract = {


In this paper, we develop a new adaptive hyperbolic-cross-space mapped Jacobi (AHMJ) method for solving multidimensional spatiotemporal integrodifferential equations in unbounded domains. By devising adaptive techniques for sparse mapped Jacobi spectral expansions defined in a hyperbolic cross space, our proposed AHMJ method can efficiently solve various spatiotemporal integrodifferential equations such as the anomalous diffusion model with reduced numbers of basis functions. Our analysis of the AHMJ method gives a uniform upper error bound for solving a class of spatiotemporal integrodifferential equations, leading to effective error control. 


},
	url = {https://doi.org/10.1016/j.jcp.2024.113492},
	author = {Yunhong Deng and Sihong Shao and Alex Mogilner and Mingtao Xia}
}
