Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Fortunato, Daniel"'
Autor:
d'Aloisio, Giordano, Fortz, Sophie, Hanna, Carol, Fortunato, Daniel, Bensoussan, Avner, Usandizaga, Eñaut Mendiluze, Sarro, Federica
Background: Quantum computing is a rapidly growing new programming paradigm that brings significant changes to the design and implementation of algorithms. Understanding quantum algorithms requires knowledge of physics and mathematics, which can be c
Externí odkaz:
http://arxiv.org/abs/2409.19028
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 is well understood. However, automating extensions to domains with mu
Externí odkaz:
http://arxiv.org/abs/2211.17259
Autor:
Miller, Pearson W., Fortunato, Daniel, Novaga, Matteo, Shvartsman, Stanislav Y., Muratov, Cyrill B.
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-conserving model of cell-polarization on a curved membrane is analyzed in
Externí odkaz:
http://arxiv.org/abs/2210.00585
Autor:
Fortunato, Daniel
We introduce a fast direct solver for variable-coefficient elliptic partial differential equations on surfaces based on the hierarchical Poincar\'e-Steklov method. The method takes as input an unstructured, high-order quadrilateral mesh of a surface
Externí odkaz:
http://arxiv.org/abs/2210.00022
We introduce a novel spectral element method based on the ultraspherical spectral method and the hierarchical Poincar\'{e}-Steklov scheme for solving second-order linear partial differential equations on polygonal domains with unstructured quadrilate
Externí odkaz:
http://arxiv.org/abs/2006.08756
An efficient $hp$-multigrid scheme is presented for local discontinuous Galerkin (LDG) discretizations of elliptic problems, formulated around the idea of separately coarsening the underlying discrete gradient and divergence operators. We show that t
Externí odkaz:
http://arxiv.org/abs/1808.05320
Autor:
Fortunato, Daniel, Townsend, Alex
Poisson's equation is the canonical elliptic partial differential equation. While there exist fast Poisson solvers for finite difference and finite element methods, fast Poisson solvers for spectral methods have remained elusive. Here, we derive spec
Externí odkaz:
http://arxiv.org/abs/1710.11259
Publikováno v:
In Journal of Computational Physics 1 July 2021 436
Autor:
FORTUNATO, DANIEL
Publikováno v:
SIAM Journal on Scientific Computing; 2024, Vol. 46 Issue 4, pA2582-A2606, 25p
Polynomial spectral methods provide fast, accurate, and flexible solvers for broad ranges of PDEs with one bounded dimension, where the incorporation of general boundary conditions is well understood. However, automating extensions to domains with mu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::efaab78d006859b75f5aa517b21f008f
http://arxiv.org/abs/2211.17259
http://arxiv.org/abs/2211.17259