Pierluigi Amodio

Publication Activity (10 Years)

Years Active: 1991-2023
Publications (10 Years): 25

Top Topics

Hamilton Jacobi

Numerical Solution

Top Venues

Appl. Math. Comput.

Numer. Algorithms

Commun. Nonlinear Sci. Numer. Simul.

Publications

Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
(Spectral) Chebyshev collocation methods for solving differential equations. Numer. Algorithms 93 (4) (2023)
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)
Pierluigi Amodio, Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro
Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints. CoRR (2022)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
Continuous-Stage Runge-Kutta Approximation to Differential Problems. Axioms 11 (5) (2022)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
(Spectral) Chebyshev collocation methods for solving differential equations. CoRR (2022)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials. Appl. Math. Lett. 134 (2022)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
Arbitrarily high-order energy-conserving methods for Poisson problems. Numer. Algorithms 91 (2) (2022)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
Continuous-Stage Runge-Kutta approximation to Differential Problems. CoRR (2022)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials. CoRR (2022)
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 (2022)
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 (2021)
Pierluigi Amodio, Luigi Brugnano, Filippo Scarselli
Implementation of the PaperRank and AuthorRank indices in the Scopus database. CoRR (2021)
Pierluigi Amodio, Luigi Brugnano, Filippo Scarselli
indices in the Scopus database. J. Informetrics 15 (4) (2021)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
Arbitrarily high-order methods for Poisson problems. CoRR (2021)
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) (2020)
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) (2020)
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 (2020)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
A note on the continuous-stage Runge-Kutta formulation of Hamiltonian Boundary Value Methods (HBVMs). CoRR (2019)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro, Francesca Mazzia
A Dynamic Precision Floating-Point Arithmetic Based on the Infinity Computer Framework. NUMTA (2) (2019)
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)
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 (2019)
Pierluigi Amodio, Giuseppina Settanni
Numerical Strategies for Solving Multiparameter Spectral Problems. NUMTA (2) (2019)
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 (2017)
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 (2017)
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) (2016)
Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics. Adv. Comput. Math. 41 (4) (2015)
Pierluigi Amodio, Giuseppina Settanni
Variable-step finite difference schemes for the solution of Sturm-Liouville problems. Commun. Nonlinear Sci. Numer. Simul. 20 (3) (2015)
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) (2015)
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) (2014)
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 (2014)
Pierluigi Amodio, Luigi Brugnano
Recent advances in bibliometric indexes and the PaperRank problem. J. Comput. Appl. Math. 267 (2014)
Pierluigi Amodio, Yuri A. Blinkov, Vladimir P. Gerdt, Roberto La Scala
On Consistency of Finite Difference Approximations to the Navier-Stokes Equations. CASC (2013)
Pierluigi Amodio, Yuri A. Blinkov, Vladimir P. Gerdt, Roberto La Scala
On Consistency of Finite Difference Approximations to the Navier-Stokes Equations. CoRR (2013)
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) (2012)
Pierluigi Amodio, Luigi Brugnano
Recent advances in bibliometric indexes and the PaperRank problem CoRR (2012)
Pierluigi Amodio, Luigi Brugnano
Special Issue Devoted to Professor Ian Gladwell. Scalable Comput. Pract. Exp. 10 (4) (2009)
Pierluigi Amodio, Luigi Brugnano
Parallel Factorizations in Numerical Analysis. Scalable Comput. Pract. Exp. 10 (4) (2009)
Pierluigi Amodio, Giuseppe Romanazzi
Parallel Numerical Solution of ABD and BABD linear systems arising from BVPs. Scalable Comput. Pract. Exp. 10 (4) (2009)
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) (2006)
Pierluigi Amodio
On the computation of few eigenvalues of positive definite Hamiltonian matrices. Future Gener. Comput. Syst. 22 (4) (2006)
Pierluigi Amodio, Felice Iavernaro, Donato Trigiante
Symmetric schemes and Hamiltonian perturbations of linear Hamiltonian problems. Numer. Linear Algebra Appl. 12 (2-3) (2005)
Pierluigi Amodio, Felice Iavernaro, Donato Trigiante
Conservative perturbations of positive definite Hamiltonian matrices. Numer. Linear Algebra Appl. 12 (2-3) (2005)
Pierluigi Amodio, Ivonne Sgura
High Order Finite Difference Schemes for the Solution of Elliptic PDEs. CIS (2004)
Pierluigi Amodio
A Symplectic Lanczos-Type Algorithm to Compute the Eigenvalues of Positive Definite Hamiltonian Matrices. International Conference on Computational Science (2003)
Pierluigi Amodio, Felice Iavernaro, Donato Trigiante
Conservation Properties of Symmetric BVMs Applied to Linear Hamiltonian Problems. International Conference on Computational Science (3) (2002)
Pierluigi Amodio
Spectral Properties of Circulant Band Matrices Arising in ODE Methods. NAA (2000)
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) (2000)
Pierluigi Amodio, Francesca Mazzia
An algorithm for the computation of consistent initial values for differential-algebraic equations. Numer. Algorithms 19 (1-4) (1998)
Pierluigi Amodio, Luigi Brugnano
Parallel ODE solvers based on block BVMs. Adv. Comput. Math. 7 (1-2) (1997)
Pierluigi Amodio, Marcin Paprzycki
A Cyclic Reduction Approach to the Numerical Solution of Boundary Value ODEs. SIAM J. Sci. Comput. 18 (1) (1997)
Pierluigi Amodio, Francesca Mazzia
Parallel Iterative Solvers for Banded Linear Systems. WNAA (1996)
Pierluigi Amodio, Francesca Mazzia
A Parallel Gauss-Seidel Method for Block Tridiagonal Linear Systems. SIAM J. Sci. Comput. 16 (6) (1995)
Pierluigi Amodio, Luigi Brugnano
The Parallel QR Factorization Algorithm for Tridiagonal Linear Systems. Parallel Comput. 21 (7) (1995)
Pierluigi Amodio, Nicola Mastronardi
A Parallel Version of the Cyclic Reduction Algorithm on a Hypercube. Parallel Comput. 19 (11) (1993)
Pierluigi Amodio, Luigi Brugnano
A parallel version of some block preconditionings. IMPACT Comput. Sci. Eng. 3 (2) (1991)