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ORCIDPierluigi Amodio
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- affiliation: University of Bari Aldo Moro, Italy
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2020 – today
- 2023
[j34]Pierluigi Amodio, Luigi Brugnano
, Felice Iavernaro:
(Spectral) Chebyshev collocation methods for solving differential equations. Numer. Algorithms 93(4): 1613-1638 (2023)- [c9]Pierluigi Amodio, Lucia Siciliani, Linda Antonella Antonucci, Cristiano Tamborrino, Pierpaolo Basile, Paolo Taurisano, Marco de Gemmis, Felice Iavernaro, Pasquale Lops, Francesca Mazzia, Cataldo Musto, Marco Polignano, Giovanni Semeraro:
Human Understanding Capabilities of Symbiotic AI systems in FAIR (Future Artificial Intelligence Research). Ital-IA 2023: 341-346 - 2022
- [j33]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials. Appl. Math. Lett. 134: 108338 (2022) - [j32]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
Continuous-Stage Runge-Kutta Approximation to Differential Problems. Axioms 11(5): 192 (2022) - [j31]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
Arbitrarily high-order energy-conserving methods for Poisson problems. Numer. Algorithms 91(2): 861-894 (2022) - [i12]Pierluigi Amodio, Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro:
Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints. CoRR abs/2203.03275 (2022) - [i11]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function. CoRR abs/2203.06402 (2022) - [i10]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
Continuous-Stage Runge-Kutta approximation to Differential Problems. CoRR abs/2203.11189 (2022) - [i9]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials. CoRR abs/2205.11182 (2022) - [i8]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
(Spectral) Chebyshev collocation methods for solving differential equations. CoRR abs/2205.15266 (2022) - 2021
- [j30]Pierluigi Amodio, Anton Arnold, Tatiana V. Levitina, Giuseppina Settanni, Ewa B. Weinmüller:
On the Abramov approach for the approximation of whispering gallery modes in prolate spheroids. Appl. Math. Comput. 409: 125599 (2021) - [j29]Pierluigi Amodio, Luigi Brugnano, Filippo Scarselli:
Implementation of the PaperRank and AuthorRank indices in the Scopus database. J. Informetrics 15(4): 101206 (2021) - [i7]Pierluigi Amodio, Luigi Brugnano, Filippo Scarselli:
Implementation of the PaperRank and AuthorRank indices in the Scopus database. CoRR abs/2103.13742 (2021) - [i6]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
Arbitrarily high-order methods for Poisson problems. CoRR abs/2110.14292 (2021) - 2020
- [j28]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems. Numer. Algorithms 83(4): 1489-1508 (2020) - [j27]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro, Francesca Mazzia:
On the use of the Infinity Computer architecture to set up a dynamic precision floating-point arithmetic. Soft Comput. 24(23): 17589-17600 (2020) - [i5]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro, Francesca Mazzia:
On the use of the Infinity Computer architecture to set up a dynamic precision floating-point arithmetic. CoRR abs/2002.10220 (2020)
2010 – 2019
- 2019
- [j26]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
A note on the continuous-stage Runge-Kutta(-Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs). Appl. Math. Comput. 363 (2019) - [c8]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro, Francesca Mazzia:
A Dynamic Precision Floating-Point Arithmetic Based on the Infinity Computer Framework. NUMTA (2) 2019: 289-297 - [c7]Pierluigi Amodio, Giuseppina Settanni:
Numerical Strategies for Solving Multiparameter Spectral Problems. NUMTA (2) 2019: 298-305 - [i4]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
A note on the continuous-stage Runge-Kutta formulation of Hamiltonian Boundary Value Methods (HBVMs). CoRR abs/1906.04071 (2019) - [i3]Pierluigi Amodio, Domenico Giordano, Felice Iavernaro, Arcangelo Labianca, Monica Lazzo, Francesca Mazzia, Lorenzo Pisani:
Mathematical aspects relative to the fluid statics of a self-gravitating perfect-gas isothermal sphere. CoRR abs/1912.02625 (2019) - 2017
- [j25]Pierluigi Amodio, Yuri A. Blinkov, Vladimir P. Gerdt, Roberto La Scala:
Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations. Appl. Math. Comput. 314: 408-421 (2017) - [j24]Pierluigi Amodio, Felice Iavernaro, Francesca Mazzia, Marat S. Mukhametzhanov, Yaroslav D. Sergeyev:
A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic. Math. Comput. Simul. 141: 24-39 (2017) - 2016
- [j23]Yaroslav D. Sergeyev, Marat S. Mukhametzhanov, Francesca Mazzia, Felice Iavernaro, Pierluigi Amodio:
Numerical Methods for Solving Initial Value Problems on the Infinity Computer. Int. J. Unconv. Comput. 12(1): 3-23 (2016) - 2015
- [j22]Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro:
Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics. Adv. Comput. Math. 41(4): 881-905 (2015) - [j21]Pierluigi Amodio, Giuseppina Settanni:
Variable-step finite difference schemes for the solution of Sturm-Liouville problems. Commun. Nonlinear Sci. Numer. Simul. 20(3): 641-649 (2015) - [j20]Pierluigi Amodio, Giuseppina Settanni:
Reprint of Variable-step finite difference schemes for the solution of Sturm-Liouville problems. Commun. Nonlinear Sci. Numer. Simul. 21(1-3): 12-21 (2015) - 2014
- [j19]Pierluigi Amodio, C. J. Budd, Othmar Koch, Giuseppina Settanni, Ewa Weinmüller:
Asymptotical computations for a model of flow in saturated porous media. Appl. Math. Comput. 237: 155-167 (2014) - [j18]Pierluigi Amodio, Tatiana V. Levitina, Giuseppina Settanni, Ewa B. Weinmüller:
Numerical simulation of the whispering gallery modes in prolate spheroids. Comput. Phys. Commun. 185(4): 1200-1206 (2014) - [j17]Pierluigi Amodio, Luigi Brugnano:
Recent advances in bibliometric indexes and the PaperRank problem. J. Comput. Appl. Math. 267: 182-194 (2014) - 2013
- [c6]Pierluigi Amodio, Yuri A. Blinkov, Vladimir P. Gerdt, Roberto La Scala:
On Consistency of Finite Difference Approximations to the Navier-Stokes Equations. CASC 2013: 46-60 - [i2]Pierluigi Amodio, Yuri A. Blinkov, Vladimir P. Gerdt, Roberto La Scala:
On Consistency of Finite Difference Approximations to the Navier-Stokes Equations. CoRR abs/1307.0914 (2013) - 2012
- [j16]Pierluigi Amodio, Giuseppina Settanni:
A finite differences MATLAB code for the numerical solution of second order singular perturbation problems. J. Comput. Appl. Math. 236(16): 3869-3879 (2012) - [i1]Pierluigi Amodio, Luigi Brugnano:
Recent advances in bibliometric indexes and the PaperRank problem. CoRR abs/1207.6328 (2012)
2000 – 2009
- 2009
- [j15]Pierluigi Amodio, Luigi Brugnano:
Special Issue Devoted to Professor Ian Gladwell. Scalable Comput. Pract. Exp. 10(4) (2009) - [j14]Pierluigi Amodio, Luigi Brugnano:
Parallel Factorizations in Numerical Analysis. Scalable Comput. Pract. Exp. 10(4) (2009) - [j13]Pierluigi Amodio, Giuseppe Romanazzi:
Parallel Numerical Solution of ABD and BABD linear systems arising from BVPs. Scalable Comput. Pract. Exp. 10(4) (2009) - 2006
- [j12]Pierluigi Amodio:
On the computation of few eigenvalues of positive definite Hamiltonian matrices. Future Gener. Comput. Syst. 22(4): 403-411 (2006) - [j11]Pierluigi Amodio, Giuseppe Romanazzi:
Algorithm 859: BABDCR - a Fortran 90 package for the solution of bordered ABD linear systems. ACM Trans. Math. Softw. 32(4): 597-608 (2006) - 2005
- [j10]Pierluigi Amodio, Felice Iavernaro, Donato Trigiante:
Conservative perturbations of positive definite Hamiltonian matrices. Numer. Linear Algebra Appl. 12(2-3): 117-125 (2005) - [j9]Pierluigi Amodio, Felice Iavernaro, Donato Trigiante:
Symmetric schemes and Hamiltonian perturbations of linear Hamiltonian problems. Numer. Linear Algebra Appl. 12(2-3): 171-179 (2005) - 2004
- [c5]Pierluigi Amodio, Ivonne Sgura:
High Order Finite Difference Schemes for the Solution of Elliptic PDEs. CIS 2004: 1-6 - 2003
- [c4]Pierluigi Amodio:
A Symplectic Lanczos-Type Algorithm to Compute the Eigenvalues of Positive Definite Hamiltonian Matrices. International Conference on Computational Science 2003: 139-148 - 2002
- [c3]Pierluigi Amodio, Felice Iavernaro, Donato Trigiante:
Conservation Properties of Symmetric BVMs Applied to Linear Hamiltonian Problems. International Conference on Computational Science (3) 2002: 429-438 - 2000
- [j8]Pierluigi Amodio, J. R. Cash, G. Roussos, R. W. Wright, Graeme Fairweather, Ian Gladwell, G. L. Kraut, Marcin Paprzycki:
Almost block diagonal linear systems: sequential and parallel solution techniques, and applications. Numer. Linear Algebra Appl. 7(5): 275-317 (2000) - [c2]Pierluigi Amodio:
Spectral Properties of Circulant Band Matrices Arising in ODE Methods. NAA 2000: 10-17
1990 – 1999
- 1998
- [j7]Pierluigi Amodio, Francesca Mazzia:
An algorithm for the computation of consistent initial values for differential-algebraic equations. Numer. Algorithms 19(1-4): 13-23 (1998) - 1997
- [j6]Pierluigi Amodio, Luigi Brugnano:
Parallel ODE solvers based on block BVMs. Adv. Comput. Math. 7(1-2): 5-26 (1997) - [j5]Pierluigi Amodio, Marcin Paprzycki:
A Cyclic Reduction Approach to the Numerical Solution of Boundary Value ODEs. SIAM J. Sci. Comput. 18(1): 56-68 (1997) - 1996
- [c1]Pierluigi Amodio, Francesca Mazzia:
Parallel Iterative Solvers for Banded Linear Systems. WNAA 1996: 17-24 - 1995
- [j4]Pierluigi Amodio, Luigi Brugnano:
The Parallel QR Factorization Algorithm for Tridiagonal Linear Systems. Parallel Comput. 21(7): 1097-1110 (1995) - [j3]Pierluigi Amodio, Francesca Mazzia:
A Parallel Gauss-Seidel Method for Block Tridiagonal Linear Systems. SIAM J. Sci. Comput. 16(6): 1451-1461 (1995) - 1993
- [j2]Pierluigi Amodio, Nicola Mastronardi:
A Parallel Version of the Cyclic Reduction Algorithm on a Hypercube. Parallel Comput. 19(11): 1273-1281 (1993) - 1991
- [j1]Pierluigi Amodio, Luigi Brugnano:
A parallel version of some block preconditionings. IMPACT Comput. Sci. Eng. 3(2): 235-243 (1991)
Coauthor Index
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