Pierluigi Amodio

58 papers B 1C 1Misc 2Journal 48Unranked 6

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	On the use of the principle of maximum entropy to improve the robustness of bivariate spline least-squares approximation. Math. Comput. Simul. Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2025	J	`jnl`	On the use of the principle of maximum entropy in bivariate splines least-squares approximation. CoRR Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2023	J	`jnl`	(Spectral) Chebyshev collocation methods for solving differential equations. Numer. Algorithms Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2023	—	`conf`	A MATLAB Code for Handling Efficiently Discontinuous BVPs. NUMTA (2) Pierluigi Amodio
2023	—	`conf`	Human Understanding Capabilities of Symbiotic AI systems in FAIR (Future Artificial Intelligence Research). Ital-IA 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
2022	J	`jnl`	(Spectral) Chebyshev collocation methods for solving differential equations. CoRR Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2022	J	`jnl`	A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials. Appl. Math. Lett. Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2022	J	`jnl`	A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials. CoRR Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2022	J	`jnl`	Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints. CoRR Pierluigi Amodio, Luigi Brugnano, Gianluca Frasca Caccia, Felice Iavernaro
2022	J	`jnl`	Arbitrarily high-order energy-conserving methods for Poisson problems. Numer. Algorithms Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2022	J	`jnl`	Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function. CoRR Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2022	J	`jnl`	Continuous-Stage Runge-Kutta Approximation to Differential Problems. Axioms Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2022	J	`jnl`	Continuous-Stage Runge-Kutta approximation to Differential Problems. CoRR Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2021	J	`jnl`	Arbitrarily high-order methods for Poisson problems. CoRR Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2021	J	`jnl`	Implementation of the J. Informetrics Pierluigi Amodio, Luigi Brugnano, Filippo Scarselli
2021	J	`jnl`	Implementation of the PaperRank and AuthorRank indices in the Scopus database. CoRR Pierluigi Amodio, Luigi Brugnano, Filippo Scarselli
2021	J	`jnl`	On the Abramov approach for the approximation of whispering gallery modes in prolate spheroids. Appl. Math. Comput. Pierluigi Amodio, Anton Arnold, Tatiana V. Levitina, Giuseppina Settanni, Ewa B. Weinmüller
2020	J	`jnl`	Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems. Numer. Algorithms Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2020	J	`jnl`	On the use of the Infinity Computer architecture to set up a dynamic precision floating-point arithmetic. CoRR Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro, Francesca Mazzia
2020	J	`jnl`	On the use of the Infinity Computer architecture to set up a dynamic precision floating-point arithmetic. Soft Comput. Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro, Francesca Mazzia
2019	—	`conf`	A Dynamic Precision Floating-Point Arithmetic Based on the Infinity Computer Framework. NUMTA (2) Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro, Francesca Mazzia
2019	J	`jnl`	A note on the continuous-stage Runge-Kutta formulation of Hamiltonian Boundary Value Methods (HBVMs). CoRR Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2019	J	`jnl`	A note on the continuous-stage Runge-Kutta(-Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs). Appl. Math. Comput. Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2019	J	`jnl`	Mathematical aspects relative to the fluid statics of a self-gravitating perfect-gas isothermal sphere. CoRR Pierluigi Amodio, Domenico Giordano, Felice Iavernaro, Arcangelo Labianca, Monica Lazzo, Francesca Mazzia, Lorenzo Pisani
2019	—	`conf`	Numerical Strategies for Solving Multiparameter Spectral Problems. NUMTA (2) Pierluigi Amodio, Giuseppina Settanni
2017	J	`jnl`	A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic. Math. Comput. Simul. Pierluigi Amodio, Felice Iavernaro, Francesca Mazzia, Marat S. Mukhametzhanov, Yaroslav D. Sergeyev
2017	J	`jnl`	Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations. Appl. Math. Comput. Pierluigi Amodio, Yuri A. Blinkov, Vladimir P. Gerdt, Roberto La Scala
2016	J	`jnl`	Numerical Methods for Solving Initial Value Problems on the Infinity Computer. Int. J. Unconv. Comput. Yaroslav D. Sergeyev, Marat S. Mukhametzhanov, Francesca Mazzia, Felice Iavernaro, Pierluigi Amodio
2015	J	`jnl`	Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics. Adv. Comput. Math. Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro
2015	J	`jnl`	Reprint of Variable-step finite difference schemes for the solution of Sturm-Liouville problems. Commun. Nonlinear Sci. Numer. Simul. Pierluigi Amodio, Giuseppina Settanni
2015	J	`jnl`	Variable-step finite difference schemes for the solution of Sturm-Liouville problems. Commun. Nonlinear Sci. Numer. Simul. Pierluigi Amodio, Giuseppina Settanni
2014	J	`jnl`	Asymptotical computations for a model of flow in saturated porous media. Appl. Math. Comput. Pierluigi Amodio, C. J. Budd, Othmar Koch, Giuseppina Settanni, Ewa Weinmüller
2014	J	`jnl`	Numerical simulation of the whispering gallery modes in prolate spheroids. Comput. Phys. Commun. Pierluigi Amodio, Tatiana V. Levitina, Giuseppina Settanni, Ewa B. Weinmüller
2014	J	`jnl`	Recent advances in bibliometric indexes and the PaperRank problem. J. Comput. Appl. Math. Pierluigi Amodio, Luigi Brugnano
2013	B	`conf`	On Consistency of Finite Difference Approximations to the Navier-Stokes Equations. CASC Pierluigi Amodio, Yuri A. Blinkov, Vladimir P. Gerdt, Roberto La Scala
2013	J	`jnl`	On Consistency of Finite Difference Approximations to the Navier-Stokes Equations. CoRR Pierluigi Amodio, Yuri A. Blinkov, Vladimir P. Gerdt, Roberto La Scala
2012	J	`jnl`	A finite differences MATLAB code for the numerical solution of second order singular perturbation problems. J. Comput. Appl. Math. Pierluigi Amodio, Giuseppina Settanni
2012	J	`jnl`	Recent advances in bibliometric indexes and the PaperRank problem CoRR Pierluigi Amodio, Luigi Brugnano
2009	J	`jnl`	Parallel Factorizations in Numerical Analysis. Scalable Comput. Pract. Exp. Pierluigi Amodio, Luigi Brugnano
2009	J	`jnl`	Parallel Numerical Solution of ABD and BABD linear systems arising from BVPs. Scalable Comput. Pract. Exp. Pierluigi Amodio, Giuseppe Romanazzi
2009	J	`jnl`	Special Issue Devoted to Professor Ian Gladwell. Scalable Comput. Pract. Exp. Pierluigi Amodio, Luigi Brugnano
2006	J	`jnl`	Algorithm 859: BABDCR - a Fortran 90 package for the solution of bordered ABD linear systems. ACM Trans. Math. Softw. Pierluigi Amodio, Giuseppe Romanazzi
2006	J	`jnl`	On the computation of few eigenvalues of positive definite Hamiltonian matrices. Future Gener. Comput. Syst. Pierluigi Amodio
2005	J	`jnl`	Conservative perturbations of positive definite Hamiltonian matrices. Numer. Linear Algebra Appl. Pierluigi Amodio, Felice Iavernaro, Donato Trigiante
2005	J	`jnl`	Symmetric schemes and Hamiltonian perturbations of linear Hamiltonian problems. Numer. Linear Algebra Appl. Pierluigi Amodio, Felice Iavernaro, Donato Trigiante
2004	C	`conf`	High Order Finite Difference Schemes for the Solution of Elliptic PDEs. CIS Pierluigi Amodio, Ivonne Sgura
2003	Misc	`conf`	A Symplectic Lanczos-Type Algorithm to Compute the Eigenvalues of Positive Definite Hamiltonian Matrices. International Conference on Computational Science Pierluigi Amodio
2002	Misc	`conf`	Conservation Properties of Symmetric BVMs Applied to Linear Hamiltonian Problems. International Conference on Computational Science (3) Pierluigi Amodio, Felice Iavernaro, Donato Trigiante
2000	J	`jnl`	Almost block diagonal linear systems: sequential and parallel solution techniques, and applications. Numer. Linear Algebra Appl. Pierluigi Amodio, J. R. Cash, George Roussos, R. W. Wright, Graeme Fairweather, Ian Gladwell, G. L. Kraut, Marcin Paprzycki
2000	—	`conf`	Spectral Properties of Circulant Band Matrices Arising in ODE Methods. NAA Pierluigi Amodio
1998	J	`jnl`	An algorithm for the computation of consistent initial values for differential-algebraic equations. Numer. Algorithms Pierluigi Amodio, Francesca Mazzia
1997	J	`jnl`	A Cyclic Reduction Approach to the Numerical Solution of Boundary Value ODEs. SIAM J. Sci. Comput. Pierluigi Amodio, Marcin Paprzycki
1997	J	`jnl`	Parallel ODE solvers based on block BVMs. Adv. Comput. Math. Pierluigi Amodio, Luigi Brugnano
1996	—	`conf`	Parallel Iterative Solvers for Banded Linear Systems. WNAA Pierluigi Amodio, Francesca Mazzia
1995	J	`jnl`	A Parallel Gauss-Seidel Method for Block Tridiagonal Linear Systems. SIAM J. Sci. Comput. Pierluigi Amodio, Francesca Mazzia
1995	J	`jnl`	The Parallel QR Factorization Algorithm for Tridiagonal Linear Systems. Parallel Comput. Pierluigi Amodio, Luigi Brugnano
1993	J	`jnl`	A Parallel Version of the Cyclic Reduction Algorithm on a Hypercube. Parallel Comput. Pierluigi Amodio, Nicola Mastronardi
1991	J	`jnl`	A parallel version of some block preconditionings. IMPACT Comput. Sci. Eng. Pierluigi Amodio, Luigi Brugnano