Zobrazeno 1 - 10
of 23
pro vyhledávání: '"M. R. Crisci"'
Publikováno v:
Computers & Mathematics with Applications. 36(10-12):77-97
A procedure to construct Liapunov functionals for discrete Volterra equations is proposed. Using this procedure stability conditions are derived for general Volterra difference equations. Some applications of the proposed procedure for obtaining stab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61c7cd05fcfef874f7814a67745ce54b
Publikováno v:
Journal of Computational and Applied Mathematics. 86:359-374
The discrete-time relaxation methods based on Volterra-Runge-Kutta methods for solving large system of second-kind Volterra integral equations are proposed. Convergence of the discrete-time iteration process with particular attention to parallel meth
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6ea64e1f48ea2b3efff43db885fc124
https://doi.org/10.1016/s0377-0427(97)00168-4
https://doi.org/10.1016/s0377-0427(97)00168-4
Publikováno v:
Journal of Mathematical Analysis and Applications. 211(1):106-130
Investigation of the boundedness of the solutions of Volterra equations with discrete time by means of the direct Liapunov method and comparison theorems is performed. Boundedness conditions of solutions of some particular classes of equations are de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::892c8ff4753e1eab2c49cb9db7c1bbb1
Publikováno v:
Journal of Computational and Applied Mathematics. 71(1):33-45
In this paper the waveform methods for solving systems of second kind Volterra integral equations are introduced. The convergence properties of continuous-time waveform methods on finite length and infinite length time intervals are investigated, wit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1cffb604b267afc73ae98c610a1e05c2
Autor:
M. R. Crisci
Publikováno v:
BIT. 34:215-227
This paper concerns parallel frontal predictor-corrector methods. Order and stability of these methods are investigated, when the corrector is solved both by the fixed point iteration method and by the Newton method.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::37fee6dc958230fe99f4268f86fde8d6
https://doi.org/10.1007/bf01955869
https://doi.org/10.1007/bf01955869
Publikováno v:
Applied Numerical Mathematics. 11:143-158
Fully parallel Runge-Kutta-Nystrom methods are introduced and their properties of accuracy, stability, and dispersion are investigated. Fully parallel Runge-Kutta-Nystrom methods with two and three stages are constructed.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78e29c888ae598e39ccf264c6b38c89d
https://doi.org/10.1016/0168-9274(93)90045-s
https://doi.org/10.1016/0168-9274(93)90045-s
Publikováno v:
Computing. 45:291-300
We investigate the stability of the numerical solutions resulting from applying very general classes of Runge-Kutta methods to Volterra integral and integro-differential equations with degenerate kernels. The results are generalizations of previous r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8b4468035e89893c58184046bdfce4c
https://doi.org/10.1007/bf02238797
https://doi.org/10.1007/bf02238797
Publikováno v:
Journal of difference equations and applications
(2000): 127–145.
info:cnr-pdr/source/autori:M.R.Crisci, V.B.Kolmanovskii, E.Russo, A.Vecchio/titolo:Stability of discrete Volterra equations of Hammerstein type.,/doi:/rivista:Journal of difference equations and applications (Print)/anno:2000/pagina_da:127/pagina_a:145/intervallo_pagine:127–145/volume
(2000): 127–145.
info:cnr-pdr/source/autori:M.R.Crisci, V.B.Kolmanovskii, E.Russo, A.Vecchio/titolo:Stability of discrete Volterra equations of Hammerstein type.,/doi:/rivista:Journal of difference equations and applications (Print)/anno:2000/pagina_da:127/pagina_a:145/intervallo_pagine:127–145/volume
Stability conditions for Volterra equations with discrete time are obtained using the direct Lyapunov method, without the usual assumption of the summability of the series of the coefficients. Using such conditions, the stability of some numerical me
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0bf632bb6ac30d9d296dc5341ac1014a
https://publications.cnr.it/doc/7717
https://publications.cnr.it/doc/7717
Publikováno v:
Journal of difference equations and applications
(2000): 667–680.
info:cnr-pdr/source/autori:M.R.Crisci, V.B.Kolmanovskii, E.Russo, A.Vecchio,/titolo:On the exponential stability of discrete Volterra systems./doi:/rivista:Journal of difference equations and applications (Print)/anno:2000/pagina_da:667/pagina_a:680/intervallo_pagine:667–680/volume
(2000): 667–680.
info:cnr-pdr/source/autori:M.R.Crisci, V.B.Kolmanovskii, E.Russo, A.Vecchio,/titolo:On the exponential stability of discrete Volterra systems./doi:/rivista:Journal of difference equations and applications (Print)/anno:2000/pagina_da:667/pagina_a:680/intervallo_pagine:667–680/volume
In this paper necessary and sufficient conditions for the exponential stability of discrete linear Volterra systems are proved. Sufficient conditions, expressed directly in terms of the coefficients, are derived
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b45112168192a79a97340eef67642894
https://publications.cnr.it/doc/7718
https://publications.cnr.it/doc/7718