Pierluigi Amodio

According to our database1, Pierluigi Amodio authored at least 36 papers between 1991 and 2020.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2020
Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems.
Numer. Algorithms, 2020

On the use of the Infinity Computer architecture to set up a dynamic precision floating-point arithmetic.
CoRR, 2020

2019
Mathematical aspects relative to the fluid statics of a self-gravitating perfect-gas isothermal sphere.
CoRR, 2019

A note on the continuous-stage Runge-Kutta formulation of Hamiltonian Boundary Value Methods (HBVMs).
CoRR, 2019

A note on the continuous-stage Runge-Kutta(-Nyström) formulation of Hamiltonian Boundary Value Methods (HBVMs).
Appl. Math. Comput., 2019

Numerical Strategies for Solving Multiparameter Spectral Problems.
Proceedings of the Numerical Computations: Theory and Algorithms, 2019

A Dynamic Precision Floating-Point Arithmetic Based on the Infinity Computer Framework.
Proceedings of the Numerical Computations: Theory and Algorithms, 2019

2017
A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic.
Math. Comput. Simul., 2017

Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations.
Appl. Math. Comput., 2017

2016
Numerical Methods for Solving Initial Value Problems on the Infinity Computer.
Int. J. Unconv. Comput., 2016

2015
Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics.
Adv. Comput. Math., 2015

2014
Recent advances in bibliometric indexes and the PaperRank problem.
J. Comput. Appl. Math., 2014

Numerical simulation of the whispering gallery modes in prolate spheroids.
Comput. Phys. Commun., 2014

Asymptotical computations for a model of flow in saturated porous media.
Appl. Math. Comput., 2014

2013
On Consistency of Finite Difference Approximations to the Navier-Stokes Equations.
Proceedings of the Computer Algebra in Scientific Computing - 15th International Workshop, 2013

2012
A finite differences MATLAB code for the numerical solution of second order singular perturbation problems.
J. Comput. Appl. Math., 2012

2009
Parallel Numerical Solution of ABD and BABD linear systems arising from BVPs.
Scalable Computing: Practice and Experience, 2009

Parallel Factorizations in Numerical Analysis.
Scalable Computing: Practice and Experience, 2009

Special Issue Devoted to Professor Ian Gladwell.
Scalable Computing: Practice and Experience, 2009

2006
Algorithm 859: BABDCR - a Fortran 90 package for the solution of bordered ABD linear systems.
ACM Trans. Math. Softw., 2006

On the computation of few eigenvalues of positive definite Hamiltonian matrices.
Future Gener. Comput. Syst., 2006

2005
Symmetric schemes and Hamiltonian perturbations of linear Hamiltonian problems.
Numer. Linear Algebra Appl., 2005

Conservative perturbations of positive definite Hamiltonian matrices.
Numer. Linear Algebra Appl., 2005

2004
High Order Finite Difference Schemes for the Solution of Elliptic PDEs.
Proceedings of the Computational and Information Science, First International Symposium, 2004

2003
A Symplectic Lanczos-Type Algorithm to Compute the Eigenvalues of Positive Definite Hamiltonian Matrices.
Proceedings of the Computational Science - ICCS 2003, 2003

2002
Conservation Properties of Symmetric BVMs Applied to Linear Hamiltonian Problems.
Proceedings of the Computational Science - ICCS 2002, 2002

2000
Almost block diagonal linear systems: sequential and parallel solution techniques, and applications.
Numer. Linear Algebra Appl., 2000

Spectral Properties of Circulant Band Matrices Arising in ODE Methods.
Proceedings of the Numerical Analysis and Its Applications, 2000

1998
An algorithm for the computation of consistent initial values for differential-algebraic equations.
Numer. Algorithms, 1998

1997
A Cyclic Reduction Approach to the Numerical Solution of Boundary Value ODEs.
SIAM J. Scientific Computing, 1997

Parallel ODE solvers based on block BVMs.
Adv. Comput. Math., 1997

1996
Parallel Iterative Solvers for Banded Linear Systems.
Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996

1995
A Parallel Gauss-Seidel Method for Block Tridiagonal Linear Systems.
SIAM J. Scientific Computing, 1995

The Parallel QR Factorization Algorithm for Tridiagonal Linear Systems.
Parallel Comput., 1995

1993
A Parallel Version of the Cyclic Reduction Algorithm on a Hypercube.
Parallel Comput., 1993

1991
A parallel version of some block preconditionings.
IMPACT Comput. Sci. Eng., 1991


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