A parallel version of some block preconditionings. - Pierluigi Amodio; Luigi Brugnano (IMPACT Comput. Sci. Eng., 1991)

A Parallel Version of the Cyclic Reduction Algorithm on a Hypercube. - Pierluigi Amodio; Nicola Mastronardi (Parallel Comput., 1993)

The Parallel QR Factorization Algorithm for Tridiagonal Linear Systems. - Pierluigi Amodio; Luigi Brugnano (Parallel Comput., 1995)

A Parallel Gauss-Seidel Method for Block Tridiagonal Linear Systems. - Pierluigi Amodio; Francesca Mazzia (SIAM J. Sci. Comput., 1995)

Parallel Iterative Solvers for Banded Linear Systems. - Pierluigi Amodio; Francesca Mazzia (WNAA, 1996)

Parallel ODE solvers based on block BVMs. - Pierluigi Amodio; Luigi Brugnano (Adv. Comput. Math., 1997)

A Cyclic Reduction Approach to the Numerical Solution of Boundary Value ODEs. - Pierluigi Amodio; Marcin Paprzycki (SIAM J. Sci. Comput., 1997)

An algorithm for the computation of consistent initial values for differential-algebraic equations. - Pierluigi Amodio; Francesca Mazzia (Numer. Algorithms, 1998)

Spectral Properties of Circulant Band Matrices Arising in ODE Methods. - Pierluigi Amodio (NAA, 2000)

Almost block diagonal linear systems: sequential and parallel solution techniques, and applications. - Pierluigi Amodio; J. R. Cash; G. Roussos; R. W. Wright; Graeme Fairweather; Ian Gladwell; G. L. Kraut; Marcin Paprzycki (Numer. Linear Algebra Appl., 2000)

Conservation Properties of Symmetric BVMs Applied to Linear Hamiltonian Problems. - Pierluigi Amodio; Felice Iavernaro; Donato Trigiante (International Conference on Computational Science (3), 2002)

A Symplectic Lanczos-Type Algorithm to Compute the Eigenvalues of Positive Definite Hamiltonian Matrices. - Pierluigi Amodio (International Conference on Computational Science, 2003)

High Order Finite Difference Schemes for the Solution of Elliptic PDEs. - Pierluigi Amodio; Ivonne Sgura (CIS, 2004)

Conservative perturbations of positive definite Hamiltonian matrices. - Pierluigi Amodio; Felice Iavernaro; Donato Trigiante (Numer. Linear Algebra Appl., 2005)

Symmetric schemes and Hamiltonian perturbations of linear Hamiltonian problems. - Pierluigi Amodio; Felice Iavernaro; Donato Trigiante (Numer. Linear Algebra Appl., 2005)

On the computation of few eigenvalues of positive definite Hamiltonian matrices. - Pierluigi Amodio (Future Gener. Comput. Syst., 2006)

Algorithm 859: BABDCR - a Fortran 90 package for the solution of bordered ABD linear systems. - Pierluigi Amodio; Giuseppe Romanazzi (ACM Trans. Math. Softw., 2006)

Special Issue Devoted to Professor Ian Gladwell. - Pierluigi Amodio; Luigi Brugnano (Scalable Comput. Pract. Exp., 2009)

Parallel Factorizations in Numerical Analysis. - Pierluigi Amodio; Luigi Brugnano (Scalable Comput. Pract. Exp., 2009)

Parallel Numerical Solution of ABD and BABD linear systems arising from BVPs. - Pierluigi Amodio; Giuseppe Romanazzi (Scalable Comput. Pract. Exp., 2009)

A finite differences MATLAB code for the numerical solution of second order singular perturbation problems. - Pierluigi Amodio; Giuseppina Settanni (J. Comput. Appl. Math., 2012)

On Consistency of Finite Difference Approximations to the Navier-Stokes Equations. - Pierluigi Amodio; Yuri A. Blinkov; Vladimir P. Gerdt; Roberto La Scala (CASC, 2013)

Asymptotical computations for a model of flow in saturated porous media. - Pierluigi Amodio; C. J. Budd; Othmar Koch; Giuseppina Settanni; Ewa Weinmüller (Appl. Math. Comput., 2014)

Numerical simulation of the whispering gallery modes in prolate spheroids. - Pierluigi Amodio; Tatiana V. Levitina; Giuseppina Settanni; Ewa B. Weinmüller (Comput. Phys. Commun., 2014)

Recent advances in bibliometric indexes and the PaperRank problem. - Pierluigi Amodio; Luigi Brugnano (J. Comput. Appl. Math., 2014)

Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (Adv. Comput. Math., 2015)

Variable-step finite difference schemes for the solution of Sturm-Liouville problems. - Pierluigi Amodio; Giuseppina Settanni (Commun. Nonlinear Sci. Numer. Simul., 2015)

Reprint of Variable-step finite difference schemes for the solution of Sturm-Liouville problems. - Pierluigi Amodio; Giuseppina Settanni (Commun. Nonlinear Sci. Numer. Simul., 2015)

Numerical Methods for Solving Initial Value Problems on the Infinity Computer. - Yaroslav D. Sergeyev; Marat S. Mukhametzhanov; Francesca Mazzia; Felice Iavernaro; Pierluigi Amodio (Int. J. Unconv. Comput., 2016)

Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations. - Pierluigi Amodio; Yuri A. Blinkov; Vladimir P. Gerdt; Roberto La Scala (Appl. Math. Comput., 2017)

A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic. - Pierluigi Amodio; Felice Iavernaro; Francesca Mazzia; Marat S. Mukhametzhanov; Yaroslav D. Sergeyev (Math. Comput. Simul., 2017)

A Dynamic Precision Floating-Point Arithmetic Based on the Infinity Computer Framework. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro; Francesca Mazzia (NUMTA (2), 2019)

Numerical Strategies for Solving Multiparameter Spectral Problems. - Pierluigi Amodio; Giuseppina Settanni (NUMTA (2), 2019)

A note on the continuous-stage Runge-Kutta(-Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs). - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (Appl. Math. Comput., 2019)

A note on the continuous-stage Runge-Kutta formulation of Hamiltonian Boundary Value Methods (HBVMs). - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (CoRR, 2019)

Mathematical aspects relative to the fluid statics of a self-gravitating perfect-gas isothermal sphere. - Pierluigi Amodio; Domenico Giordano; Felice Iavernaro; Arcangelo Labianca; Monica Lazzo; Francesca Mazzia; Lorenzo Pisani (CoRR, 2019)

Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (Numer. Algorithms, 2020)

On the use of the Infinity Computer architecture to set up a dynamic precision floating-point arithmetic. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro; Francesca Mazzia (Soft Comput., 2020)

On the Abramov approach for the approximation of whispering gallery modes in prolate spheroids. - Pierluigi Amodio; Anton Arnold; Tatiana V. Levitina; Giuseppina Settanni; Ewa B. Weinmüller (Appl. Math. Comput., 2021)

Implementation of the PaperRank and AuthorRank indices in the Scopus database. - Pierluigi Amodio; Luigi Brugnano; Filippo Scarselli (CoRR, 2021)

Arbitrarily high-order methods for Poisson problems. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (CoRR, 2021)

Implementation of the PaperRank and AuthorRank indices in the Scopus database. - Pierluigi Amodio; Luigi Brugnano; Filippo Scarselli (J. Informetrics, 2021)

A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (Appl. Math. Lett., 2022)

Continuous-Stage Runge-Kutta Approximation to Differential Problems. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (Axioms, 2022)

Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints. - Pierluigi Amodio; Luigi Brugnano; Gianluca Frasca Caccia; Felice Iavernaro (CoRR, 2022)

Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (CoRR, 2022)

Arbitrarily high-order energy-conserving methods for Poisson problems. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (Numer. Algorithms, 2022)

Human Understanding Capabilities of Symbiotic AI systems in FAIR (Future Artificial Intelligence Research). - 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; et al. (Ital-IA, 2023)

A MATLAB Code for Handling Efficiently Discontinuous BVPs. - Pierluigi Amodio (NUMTA (2), 2023)

(Spectral) Chebyshev collocation methods for solving differential equations. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (Numer. Algorithms, 2023)

On the use of the principle of maximum entropy in bivariate splines least-squares approximation. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (CoRR, 2025)

On the use of the principle of maximum entropy to improve the robustness of bivariate spline least-squares approximation. - Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro (Math. Comput. Simul., 2026)