Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Angelamaria Cardone"'
Publikováno v:
MethodsX, Vol 10, Iss , Pp 102121- (2023)
Externí odkaz:
https://doaj.org/article/fc9aa2741e4a484788ecfcc3cbc9adb9
Publikováno v:
Mathematics, Vol 10, Iss 2, p 185 (2022)
The present paper illustrates some classes of multivalue methods for the numerical solution of ordinary and fractional differential equations. In particular, it focuses on two-step and mixed collocation methods, Nordsieck GLM collocation methods for
Externí odkaz:
https://doaj.org/article/ed712dddeeac4cf48d16b1ef7034a718
Publikováno v:
Axioms, Vol 7, Iss 4, p 91 (2018)
We review some recent contributions of the authors regarding the numerical approximation of stochastic problems, mostly based on stochastic differential equations modeling random damped oscillators and stochastic Volterra integral equations. The pape
Externí odkaz:
https://doaj.org/article/bf342374ce1b41e5baecc6a69c2d9d77
Publikováno v:
Axioms, Vol 7, Iss 3, p 45 (2018)
We present a collection of recent results on the numerical approximation of Volterra integral equations and integro-differential equations by means of collocation type methods, which are able to provide better balances between accuracy and stability
Externí odkaz:
https://doaj.org/article/51a640342e834720af68ddd8c3fe9d2a
Publikováno v:
Mathematical Modelling and Analysis, Vol 19, Iss 1 (2014)
We investigate a new class of implicit–explicit singly diagonally implicit Runge–Kutta methods for ordinary differential equations with both non-stiff and stiff components. The approach is based on extrapolation of the stage values at the current
Externí odkaz:
https://doaj.org/article/36e7545f47384831b44e678ccfbabbec
Publikováno v:
Mathematical Modelling and Analysis, Vol 18, Iss 2 (2013)
The present paper deals with the implementation in a variable-step algorithm of general linear methods in Nordsieck form with inherent quadratic stability and large stability regions constructed recently by Braś and Cardone. Various implementation i
Externí odkaz:
https://doaj.org/article/fd5cb1c8429e4e00882daf2dd0547379
Publikováno v:
Mathematical Modelling and Analysis, Vol 17, Iss 3 (2012)
We describe the search for explicit general linear methods in Nordsieck form for which the stability function has only two nonzero roots. This search is based on state-of-the-art optimization software. Examples of methods found in this way are given
Externí odkaz:
https://doaj.org/article/928d8ef7ea274fada20df431064e736c
Autor:
Michal Bra´s, Angelamaria Cardone
Publikováno v:
Mathematical Modelling and Analysis, Vol 17, Iss 2 (2012)
This paper describes the construction of explicit general linear methods in Nordsieck form with inherent quadratic stability and large areas of the stability region. After satisfying order and inherent quadratic stability conditions, the remaining fr
Externí odkaz:
https://doaj.org/article/d5dd187703954d1dab976b1d95c5cb71
Autor:
Angelamaria Cardone
Publikováno v:
Applied Numerical Mathematics. 186:241-251
Publikováno v:
Fractional Calculus and Applied Analysis. 25:1459-1483
The first part of this paper introduces sufficient conditions to determine conservation laws of diffusion equations of arbitrary fractional order in time. Numerical methods that satisfy a discrete analogue of these conditions have conservation laws t