Zobrazeno 1 - 10
of 286
pro vyhledávání: '"Luigi Brugnano"'
Publikováno v:
Frontiers in Computational Neuroscience, Vol 18 (2024)
IntroductionHistorically, Parkinson's Disease (PD) research has focused on the dysfunction of dopamine-producing cells in the substantia nigra pars compacta, which is linked to motor regulation in the basal ganglia. Therapies have mainly aimed at res
Externí odkaz:
https://doaj.org/article/021b68881e7149a4a47b4ab2b29d76aa
Publikováno v:
Axioms, Vol 11, Iss 5, p 192 (2022)
In recent years, the efficient numerical solution of Hamiltonian problems has led to the definition of a class of energy-conserving Runge–Kutta methods named Hamiltonian Boundary Value Methods (HBVMs). Such methods admit an interesting interpretati
Externí odkaz:
https://doaj.org/article/104f8d63e50c45168958c7aadd6a5e52
Autor:
Luigi Brugnano, Felice Iavernaro
Publikováno v:
ANNALI DELL'UNIVERSITA' DI FERRARA. 68:243-258
Recently, the efficient numerical solution of Hamiltonian problems has been tackled by defining the class of energy-conserving Runge-Kutta methods namedHamiltonian Boundary Value Methods (HBVMs). Their derivation relies on the expansion of the vector
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ec58a7949e656ef587d95b7e6278efce
https://doi.org/10.1007/s11565-022-00409-6
https://doi.org/10.1007/s11565-022-00409-6
Publikováno v:
Numerical Algorithms.
Recently, the efficient numerical solution of Hamiltonian problems has been tackled by defining the class of energy-conserving Runge-Kutta methods named Hamiltonian Boundary Value Methods (HBVMs). Their derivation relies on the expansion of the vecto
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c2fb1a260d118241d7f1387003c11acf
https://doi.org/10.1007/s11075-022-01482-w
https://doi.org/10.1007/s11075-022-01482-w
Publikováno v:
Mathematics, Vol 7, Iss 3, p 275 (2019)
In this paper, we report on recent findings in the numerical solution of Hamiltonian Partial Differential Equations (PDEs) by using energy-conserving line integral methods in the Hamiltonian Boundary Value Methods (HBVMs) class. In particular, we con
Externí odkaz:
https://doaj.org/article/fb63dda77fbc407d9801666d0045d065
Autor:
Luigi Brugnano, Felice Iavernaro
Publikováno v:
Axioms, Vol 8, Iss 1, p 16 (2019)
The use of scientific computing tools is, nowadays, customary for solving problems in Applied Sciences at several levels of complexity. The great need for reliable software in the scientific community conveys a continuous stimulus to develop new and
Externí odkaz:
https://doaj.org/article/382e5f75751649e89259abc29f906f71
Publikováno v:
Mathematical Methods in the Applied Sciences
The paper concerns a new forecast model that includes the class of undiagnosed infected people, and has a multiregion extension, to cope with the in‐time and in‐space heterogeneity of an epidemic. The model is applied to the SARS‐CoV2 (COVID‐
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b57adb15442b2adb018aa3ff6d3352ca
https://doi.org/10.1002/mma.7039
https://doi.org/10.1002/mma.7039
Publikováno v:
Computers & Mathematics with Applications. 80:31-42
This paper deals with the numerical computation and analysis for a class of two-dimensional time–space fractional convection–diffusion equations. An implicit difference scheme is derived for solving this class of equations. It is proved under som
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::00061cee67f47c66d5c75b2ab79acf2a
https://doi.org/10.1016/j.camwa.2020.02.014
https://doi.org/10.1016/j.camwa.2020.02.014
In this paper we are concerned with energy-conserving methods for Poisson problems, which are effectively solved by defining a suitable generalization of HBVMs, a class of energy-conserving methods for Hamiltonian problems. The actual implementation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4221ec4b948b8d4faa4cd709147fe4dc
http://hdl.handle.net/2158/1260328
http://hdl.handle.net/2158/1260328
In this note we provide an algorithm for computing the fractional integrals of orthogonal polynomials, which is more stable than that using the expression of the polynomials w.r.t. the canonical basis. This algorithm is aimed at solving corresponding
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3908a3628006a5425c9d3c187e8aad3