Publications of Numerical Analisys
RESEARCH PAPERS (IN JOURNALS AND REFERRED PROCEEDING OF
CONFERENCES)
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1 |
COSTABILE F. A. |
Un metodo Pseudo Runge-Kutta
del quarto ordine. I.A.C. III, n. 20
(1969). |
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2 |
COSTABILE F. A. |
Metodi Pseudo Runge-Kutta
di seconda specie. Calcolo
Vol. 7 (1970). |
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3 |
COSTABILE F. A. |
Un metodo del terzo ordine per
l'integrazione numerica dell'equazione differenziale ordinaria. Calcolo Vol. 8,
Fasc. 1-2 (1971). |
|
4 |
COSTABILE F. A. |
Sulla stabilita'
dei metodi Pseudo Runge-Kutta. Calcolo Vol. 8,
Fasc. 4 (1971). |
|
5 |
COSTABILE F. A. |
Metodi Pseudo Runge-Kutta
ottimali. Calcolo
Vol. X (1973). |
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6 |
COSTABILE F. A. |
Sull'esistenza di soluzioni olomorfe
in Cn di equazioni a derivate
parziali a coefficienti costanti con opportuno termine noto olomorfo. Boll. U.M.I. (4), 8
(1973). |
|
7 |
COSTABILE F. A. |
Un metodo con ascisse Gaussiane per
l'integrazione numerica dell'equazione differenziale ordinaria. Rend. Mat., ROMA, (4) Vol. 6, Serie VI (1973). |
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8 |
COSTABILE F. A. |
Sulle formule di quadratura di Tchebyscheff. Calcolo Vol. XI ,
Fasc. 2 (1974). |
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9 |
COSTABILE F. A. |
Formule di quadratura
ottimali con numeri di Cotes non negativi. Rend. Mat. (4) Vol. 8, (1975). |
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10 |
COSTABILE F. A. |
Un metodo per
l'integrazione numerica della equazione differenziale ordinaria y"
= F(x,y) con condizioni iniziali. Calcolo XII,
(1975). |
|
11 |
COSTABILE F. A. |
Un teorema di separazione degli zeri
dei polinomi ultrasferici e relative applicazioni. Boll. Mat. Ital. 13-A (1976). |
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12 |
COSTABILE F. A., LUCERI R. |
Sull'esistenza di formule di quadratura r_dimensionali con pesi non negativi. Rend. Mat. 11, (1978). |
|
13 |
COSTABILE F. A., LUCERI R. |
Formule di quadratura di Tchebyscheff col peso x^b, b>-1, nell'intervallo [0,1]. I.A.C. III, n. 126 (1978). |
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14 |
COSTABILE F. A., GAUTSCHI W. |
Stime per difetto degli zeri piu' grandi dei polinomi ortogonali. Boll. U.M.I. (5), 17-A, (1980). |
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15 |
COSTABILE F. A., VARANO A. |
Convergence, stability and truncation error estimation of a method for
the numerical integration of the initial value problem y" = F(x,y) .Calcolo Vol. XVIII
(1981) pag. 371. |
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16 |
COSTABILE F. A., COSTABILE C. |
Two-step fourth order P-stable methods for second order differential equation. B.I.T. 22 (1982). |
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17 |
COSTABILE F. A. |
Recenti risultati in Analisi
Numerica.
Atti del Convegno di Analisi
Numerica - Bologna, 28-30 Marzo 1983 . |
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18 |
COSTABILE F. A. |
A tridiagonal discretization for y"
= f(y) of Runge-Kutta type. Convegno
di
Analisi Numerica - Sorrento 30/09/1985 . |
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19 |
COSTABILE F. A., LUCERI R. |
On the order of a Runge-Kutta method for initial value problem y" = f(y) . Rend. di Mat. VII, 6 n° 4 (1986) pp. 547-553. |
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20 |
COSTABILE F. A., CAIRA R. |
Two steps method of Runge-Kutta type for initial value problem y" = F(x,y). Rend. di Mat. VII, 6 n° 4 (1986) pp. 441-465. |
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21 |
COSTABILE F. A., COSTABILE C. |
Economized formulae of Nystrom for initial value problem. |
|
22 |
COSTABILE F. A., CAIRA R. |
A class of Pseudo Runge Kutta methods. BIT 30 (1990)
642-649. |
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23 |
COSTABILE F. A., LUCERI R. |
Un metodo del V ordine con cinque stadi. Rend. Mat. VII, 10 (1990). |
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24 |
COSTABILE F. A., GUALTIERI M., COSTABILE C. |
Generalizzazione dei metodi di Nyström. Rend. Mat. VII, 11 (1991). |
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25 |
COSTABILE F. A., CAIRA R. |
Un metodo del sesto ordine con tre stadi. Calcolo Vol. 28 (1991).
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26 |
COSTABILE F. A. |
A property of zeros and number cotes of orthogonal polynomials of Hermite and Laguerre. Approximation theory, spline functions and applications. Edited by
Sing Nato ASI, series Vol. 356 (1992). |
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27 |
COSTABILE F. A., GUALTIERI M., SCALISE A. |
Generalizzazione delle formule di Nystrom: formule immerse.Rend. Matem. Serie VII vol 12 - Roma (1992), 975-996. |
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28 |
COSTABILE F. A., GUALTIERI M., CAIRA R. |
Economical Runge Kutta method. Rend. Mat. VII, 1 (1995).
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29 |
COSTABILE F. A., LUCERI R. |
On the zeros localization of k>2 consecutive orthogonal Polynomials
and of their derivatives. In Singh (editor)
Approximation theory and Applications, 315-324. Kluver
Ac. Pub. (1995). |
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30 |
COSTABILE F. A., LUCERI R., GUALTIERI M.I. |
An operator of Bernstein type with applications to the indefinite integral and differential Cauchy problem. Rend. Circ. Mat. Pal. (II), 40(1996) pp. 109-119.
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31 |
COSTABILE F. A., GUALTIERI M.I., SERRA S. |
Asymtotic expansion and extrapolation for Bernstein polynomial with applications. BIT 36:4 (1996), 676-687. |
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32 |
COSTABILE F. A., GUALTIERI M. I., SERRA S. |
An extrapolation method technique for general exponential type
operators. 3rd Int. Conf. On
Functional Analysis and Approximation Theory. Acquafredda di Maratea, September 23-28, 1996. |
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33 |
COSTABILE F. A., GUALTIERI M. I., SERRA S. |
Asymptotic expansion for some classical operators and their use in approximation theory. Proc. of seventh Int. Coll. In Diff. Equations (Plovdiv -Bulgaria) (1996), D. Bainov ed. - VSP Publisher.
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34 |
COSTABILE F. A., GUALTIERI M. I., SERRA S. |
The approximation of continuous periodic functions by means of extrapolation tecniques for the De La Vallèe Poussin operator. Proc. of nineth Int. Coll. In Diff.
Equations (Plovdiv -Bulgaria) (1999), D. Bainov ed.
- VSP Publisher. |
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35 |
COSTABILE F. A., GUALTIERI M. I., SERRA S. |
An iterative method for the computation of the solutions of non linear equations. Calcolo, 36, 17-34 (1999). |
|
36 |
COSTABILE F. A. |
On expansion of a real function in Bernoulli polynomials and
application. Conferenze
del Seminario Matem. – Univ.
Bari, n° 273 (1999). |
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37 |
COSTABILE F. A., GUALTIERI M. I., SERRA S. |
Asymptotic expansions and extrapolation for positive linear operators.
Ann. Univ. Ferrara – Sez. VII – Sc. Mat,
Supplemento al Vol. XLV, 431-442 (2000). |
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38 |
COSTABILE F. A., DELL’ACCIO F. |
On the approximation
of CM-functions by means
of boundary values.
International Journal of Applied Mathematics, Vol. 3, n° 1, 47-61
(2000). |
|
39 |
COSTABILE F. A. NAPOLI A. |
A method for global approximation of the initial value problem. Numerical Algorithms, Vol. 27, n° 2, 119-130 (2001). |
|
40 |
COSTABILE F. A., DELL’ACCIO F. |
Expansion of functions in Bernoulli polynomials and applications: the
two dimensional case. BIT 41:3 (2001), 451-464. |
|
41 |
COSTABILE F. A., GUALTIERI M. I., LUCERI R.
|
A new iterative method for the computation of the solutions of non linear equations. Numerical Algorithms, 28(2001) pg. 87-100.
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42 |
COSTABILE F. A., DELL’ACCIO F. |
Expansion over a simplex of real functions by means of Bernoulli polynomials. Numerical Algorithms, 28 (2001).
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43 |
COSTABILE F. A.,
SERRA CAPIZZANO S. |
Komleva-type expansions and asymptotics for linear operators, Computers and Mathematics with Applications, 43 (2002), 799-820.
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44 |
COSTABILE F. A., |
A survey of pseudo Runge-Kutta methods. Rend. Mat. Vol. 23 Roma (2003), 217-234. |
|
45 |
COSTABILE F. A., NAPOLI A. |
A method for global approximation of the solution of second order IVPs, Rendiconti di Matematica, Serie VII, Vol. 24, Roma (2004), 239-260.
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46 |
COSTABILE F. A., NAPOLI A. |
Stability of Chebyshev collocation method Comput. Math. Appl. 47/4-5 pp. 659-666, (2004). |
|
47 |
COSTABILE F. A., DELL’ACCIO F., LUCERI R. |
Explicit polynomial expansions for regular real functions by means of even order Bernoulli polynomials and boundary values. J. Comput. Appl. Math. n. 176 (2005) 77-90.
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48 |
COSTABILE F. A.,
DELL’ACCIO F. |
Lidstone Approximation on the Triangle. Appl. Numer. Math., n. 52(4), (2005) 339-361. |
|
49 |
New automatic non interpolatory quadrature and cubature formulas.Supplemento ai Rendiconti del Circolo
Matematico di Palermo, Serie II- n. 76, 2005 - Proc. Of fifth
International Conference on functional analysis and approximation theory, Acquafredda di Maratea June 16-23 2004. |
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50 |
COSTABILE F. A., GUALTIERI M.I., LUCERI R.
|
A modification of Muller's method. Calcolo, 2006, Vol. 43, pp. 39-50. |
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51 |
COSTABILE F. A., DELL’ACCIO F., GUALTIERI M.I.
|
A new approach to Bernoulli polynomials. Rendiconti di matematica e delle sue applicazioni, Roma, 2006, Vol. 26, pp. 1-12.
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52 |
Costabile
F. A., Serpe A. |
An Algebraic Approach to Lidstone
Polynomials. Applied Mathematics Letters, 2007, Vol. 20, n. 4, pp. 387-390. |
|
53 |
Costabile
F. A.,
A.Napoli
|
A method for polynomial approximation of the solution of general
second order BVPs. Far East Journal of Mathematical Sciences (FJMS),
2006, Vol. 25, n. 3, pp. 289-305. |
|
54 |
New embedded boundary-type quadrature formulas for the simplex. Numerical Algorithms, 2007, Vol. in press, pp. 1-16
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55 |
Polynomial approximation of CM functions
by means of boundary values and applications: a survey. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,
2007, Vol. 210, pp. 116-135. |
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56 |
COSTABILE F. A., NAPOLI A. |
Solving
BVPs Using Two-point Taylor Formula with a symbolic software. JOURNAL OF
COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, Vol. 210, pp. 136-148. |
|
57 |
Costabile F. A., Serpe A., Bruzio A. |
No Classic Boundary Conditions. Atti del convegno "World Congress on Engineering 2007",
LONDON, 02-04 luglio, 2007, A cura
di Gelman L., Wl Hukins D., Hunter A., Korsunsky
A., IAENG International Association of Engineers:Hong
Kong, 2007, Vol. 978-988-98671-2-6, pp. 918-921. |
|
58 |
Costabile F., A.Napoli A. |
A collocation method for global approximation of general second order BVPs. Computing Letters, 2007, Vol. 3, n. 1, pp. 23-34.
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59 |
Costabile F. A., Dell'Accio F., Guzzardi L. |
New bivariate polynomial expansion with only boundary data on the simplex. Calcolo, 2008, Vol. 45, pp. 177-192. |
|
60 |
Costabile F. A., SeRPE A. |
On Bernoulli boundary value problem. “Le Matematiche” Vol. LXII 2007 – Fasc. II, pp. 163-173. |
|
61 |
Costabile F. A., NAPOLI A. |
Economical Runge-Kutta
methods for numerical solution of stochastic differential equations. BIT, 2008, Vol. 48, n. 3, pp. 499-509. |
|
62 |
On the nonsingularity of a special class of centrosymmetric matrices arising in spectral methods in BVPs. Applied mathematics and computation, 206 (2008) 991-993. |
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63 |
COSTABILE F. A., GUZZARDI L. |
Extending univariate expansion formulae on the simplex. International J. Numerical Methods and Applications 1, 1 (2009), 1-17.
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64 |
COSTABILE F. A., LONGO E. |
A
new collocation method
for a BVP. Atti
del convegno 9th SIMAI Conference, Roma, 15-19 settembre, 2008, World Scientific: 2009, Vol. 82, pp. 289-297. |
|
65 |
Costabile F. A., NAPOLI A. |
A special class of polynomials related to non classic general interpolatory problems. Integral transforms and special functions, 2009, Vol. 20, n. 7, pp. 539-550. |
|
66 |
COSTABILE F. A., LONGO E., LUCERI R. |
A new proof of uniform convergence of Bernoulli and Lidstone series for entire real functions of exponential type. Rendiconti dell’Istituto Lombardo Accademia di Scienze e Lettere, Classe di Scienze Matematiche Fisiche e Naturali, Settore: Matematica, Milano , 2009, Vol. 143, pp. 63-70.
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67 |
Costabile F. A., NAPOLI A. |
Special
even polynomials and related interpolatory problems. Integral transforms and special functions,
2010, Vol. 21, n. 3, pp. 183-196. |
|
68 |
COSTABILE F. A., LONGO E. |
A determinantal approach to Appell polynomials. Journal of computational and applied mathematics, 2010, Vol. 234, n. 5, pp. 1528-1542. |
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69 |
Costabile F. A., NAPOLI A. |
New kernels of Sard type and applications. Rendiconti del Circolo matematico di Palermo, 2010, Vol. 82, pp. 407-420. |
|
70 |
COSTABILE F. A., LONGO
E. |
A Birkhoff interpolation problem and application. Calcolo, 2010, Vol. 47, n. 1, pp. 49-63. |
|
71 |
Costabile F. A., NAPOLI A.
|
Economical Runge-Kutta method with strong global order one for stochastic differential equations. APPLIED NUMERICAL MATHEMATICS, 2011, Vol. 61, pp. 160-169. |
|
72 |
Costabile F. A., NAPOLI A.
|
A class of collocation methods for numerical integration of initial
value problems. Computers and Mathematics with
Applications, 2011, Vol. 62, n. 8, pp. 3221-3235. |
|
73 |
Costabile F. A., Dell'Accio F., Guzzardi L. |
The numerical calculation of topological turning points.
International Journal of Computer Mathematics, 2011, Vol. 88, n. 14, pp.
3069-3085. |
|
74 |
COSTABILE F. A., LONGO E. |
The Appell
interpolation problem. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011,
Vol. 236, pp. 1024-1032. |
|
75 |
Costabile F. A., NAPOLI A.
|
A mathematica
package for the solution of IVPs. International Journal of Numerical
Methods and Applications, 2011,
Vol. 6, n. 2, pp. 123-136. |
|
76 |
Costabile F. A., LONGO E.
|
"Delta_h-Appell
sequences and related interpolation problem (DOI
10.1007/s11075-012-9619-1)". Numerical Algorithms, 2012, pp. xx-xx. |
|
77 |
Costabile F. A., LONGO E.
|
Linear Algebra. Yasser H. (a cura
di), Cap. 2, " Algebraic theory
of Appell polynomials
with application to general linear interpolation problem",
Rijeka, Croatia: InTech
Europe Publication. 2012. pp. 21-46. |
|
78 |
Costabile F. A.
, Dell'Accio F. , Di Tommaso F. |
"Enhancing
the approximation order
of local Shepard operators by Hermite polynomials". Computers
and Mathematics with Applications, 2012, Vol. 64,
n. 11, pp. 3641-3655. |
|
79 |
Costabile F. A.
, Dell'Accio F. , Di Tommaso F. |
Enhancing
the approximation order of local Shepard operators by Hermite
polynomials. COMPUTERS & MATHEMATICS WITH
APPLICATIONS, ISSN: 0898-1221 |
|
80 |
COSTABILE F, LONGO E (2013) |
Delta_h-Appell sequences
and related interpolation
problem
. NUMERICAL ALGORITHMS, ISSN: 1017-1398, doi:
DOI 10.1007/s11075-012-9619-1 |
|
81 |
Costabile F, Dell'Accio F, Di Tommaso F (2013) |
Complementary
Lidstone interpolation on scattered data sets. NUMERICAL
ALGORITHMS, ISSN: 1017-1398, doi:
http://dx.doi.org/10.1007/s11075-012-9659-6 |
|
82 |
COSTABILE F, DELL'ACCIO F, DI TOMMASO F (2013) |
Complementary
Lidstone Interpolation on Scattered Data Sets. NUMERICAL
ALGORITHMS, ISSN: 1017-1398 |
|
83 |
Costabile F, Guzzardi L (2014) |
On
a class of embedded cubature formulae on the simplex. AVANCES
EN CIENCIAS E INGENIERÍAS, vol. 6, p. A19-A25, ISSN: 1390-5384 |
|
84 |
Costabile F, Napoli A (2014) |
Numerical
solution of Higher order Bernoulli boundary value problems. APLIMAT - JOURNAL
OF APPLIED MATHEMATICS, p. 1-9, ISSN: 1337-6365, doi:
dx.doi.org/10.1155/2014/276585 |
|
85 |
Costabile F, Longo E (2014) |
An
algebraic approach to Sheffer polynomial sequences.
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, vol. 25, p.
295-311, ISSN: 1065-2469 |
|
86 |
Costabile F, Longo E (2014) |
AN
ALGEBRAIC EXPOSITION OF UMBRALCALCULUS WITH APPLICATION TO GENERAL LINEAR
INTERPOLATION PROBLEM – A SURVEY . PUBLICATIONS
DE L'INSTITUT MATHEMATIQUE, vol. 110, ISSN: 0350-1302 |
|
87 |
Costabile F, Napoli A (2014) |
A
multipoint Birkoff type boundary
value problem. RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL
MODELLING, p. 1-17, ISSN: 0927-6467, doi:
10.1515/JNUM.2014.000 |
|
88 |
Costabile F, A.Napoli (2014) |
A
method for high-order multipoint boundary value problems with Birkoff-type conditions. INTERNATIONAL
JOURNAL OF COMPUTER MATHEMATICS, ISSN: 0020-7160, doi:
10.1080/00207160.2014.889292 |
|
89 |
Costabile F, Napoli A (in stampa) |
Collocation
for highh order differential equations with two
-points hermite boundary conditions. APPLIED
NUMERICAL MATHEMATICS, ISSN: 0168-9274 |
|
90 |
Costabile F, Longo
E. (2016) |
Umbral
Interpolation,
Publications de l’Institut Mathematique- nouvelle serie
tome 99(113)(2016) 165-175. |
|
91 |
Costabile F, Longo
E. (2016) |
A
new recurrence relation and related determinenental
form for Binomial type polynomial sequences, Mediterr.
J. Math. Doi
10.1007/s00009-0160-0729-1- Springer Intern. Pubishing
2016 |