70 citations · 323 across the 27 of their papers we have counts for
Showing 2019Show all
2 papers · 1 filter
math.AP2019★ 23 cited
On the well-posedness of an anisotropically-reduced two-dimensional Kuramoto-Sivashinsky equation
Adam Larios, Kazuo Yamazaki
The Kuramoto-Sivashinsky equations (KSE) arise in many diverse scientific areas, and are of much mathematical interest due in part to their chaotic behavior, and their similarity t…
math.NA2019★ 54 cited
Efficient solutions for nonlocal diffusion problems via boundary-adapted spectral methods
Siavash Jafarzadeh, Adam Larios, Florin Bobaru
We introduce an efficient boundary-adapted spectral method for peridynamic diffusion problems with arbitrary boundary conditions. The spectral approach transforms the convolution i…