Zobrazeno 1 - 10
of 95
pro vyhledávání: '"Felice Iavernaro"'
A didactically motivated reexamination of a particle’s quantum mechanics with square-well potentials
Publikováno v:
Revista Brasileira de Ensino de Física, Vol 45 (2023)
We address two questions regarding square-well potentials from a didactic perspective. The first question concerns whether or not the justification of the standard a priori omission of the potential’s vertical segments in the analysis of the eigenv
Externí odkaz:
https://doaj.org/article/7c7ccb886efa44ab9fc0a57ae3afd5f5
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
A Fourth Order Symplectic and Conjugate-Symplectic Extension of the Midpoint and Trapezoidal Methods
Autor:
Felice Iavernaro, Francesca Mazzia
Publikováno v:
Mathematics, Vol 9, Iss 10, p 1103 (2021)
The paper presents fourth order Runge–Kutta methods derived from symmetric Hermite–Obreshkov schemes by suitably approximating the involved higher derivatives. In particular, starting from the multi-derivative extension of the midpoint method we
Externí odkaz:
https://doaj.org/article/973aafe8ff8a4c12900f78ec5c6e1dea
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
Autor:
Luigi Brugnano, Felice Iavernaro
Publikováno v:
Axioms, Vol 7, Iss 2, p 36 (2018)
In recent years, the numerical solution of differential problems, possessing constants of motion, has been attacked by imposing the vanishing of a corresponding line integral. The resulting methods have been, therefore, collectively named (discrete)
Externí odkaz:
https://doaj.org/article/5ef307d7f73742318b047e312c211e6e
Autor:
Felice Iavernaro, Donato Trigiante
Publikováno v:
Le Matematiche, Vol 62, Iss 2, Pp 219-234 (2007)
Discrete mathematics has been neglected for a long time. It has been put in the shade by the striking success of continuous mathematics in the last two centuries, mainly because continuous models in physics proved very reliable, but also because of t
Externí odkaz:
https://doaj.org/article/792935909bb64356aaf1e97a39cd09e5
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
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
Publikováno v:
Numerical Algorithms. 89:1639-1661
In this article, we present a new strategy to determine an unmanned aerial vehicle trajectory that minimizes its flight time in presence of avoidance areas and obstacles. The method combines classical results from optimal control theory, i.e. the Eul