31 citations · 34 across the 5 of their papers we have counts for
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math.NA2022
Corner cases of the tau method: symmetrically imposing boundary conditions on hypercubes
Keaton J. Burns, Daniel Fortunato, Keith Julien +1
Polynomial spectral methods produce fast, accurate, and flexible solvers for broad ranges of PDEs with one bounded dimension, where the incorporation of general boundary conditions…
nlin.PS2022
Generation and motion of interfaces in a mass-conserving reaction-diffusion system
Pearson W. Miller, Daniel Fortunato, Matteo Novaga +2
Reaction-diffusion models with nonlocal constraints naturally arise as limiting cases of coupled bulk-surface models of intracellular signalling. In this paper, a minimal, mass-con…
math.NA2022★ 3 cited
A high-order fast direct solver for surface PDEs
Daniel Fortunato
We introduce a fast direct solver for variable-coefficient elliptic partial differential equations on surfaces based on the hierarchical Poincaré-Steklov method. The method takes a…