Pierluigi Amodio
Pierluigi Amodio
Professor of Numerical Analysis, Universitą di Bari
Verified email at - Homepage
Cited by
Cited by
A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic
P Amodio, F Iavernaro, F Mazzia, MS Mukhametzhanov, YD Sergeyev
Mathematics and Computers in Simulation 141, 24-39, 2017
Almost block diagonal linear systems: sequential and parallel solution techniques, and applications
P Amodio, JR Cash, G Roussos, RW Wright, G Fairweather, I Gladwell, ...
Numerical linear algebra with applications 7 (5), 275-317, 2000
Numerical methods for solving initial value problems on the Infinity Computer
Y Sergeyev, M Mukhametzhanov, F Mazzia, F Iavernaro, P Amodio
High-order finite difference schemes for the solution of second-order BVPs
P Amodio, I Sgura
Journal of computational and applied mathematics 176 (1), 59-76, 2005
Parallel factorizations for tridiagonal matrices
P Amodio, L Brugnano, T Politi
SIAM journal on numerical analysis 30 (3), 813-823, 1993
Boundary value methods based on Adams-type methods
P Amodio, F Mazzia
Applied Numerical Mathematics 18 (1-3), 23-35, 1995
A boundary value approach to the numerical solution of initial value problems by multistep methos
P Amodio, F Mazzia
Journal of Difference Equations and Applications 1 (4), 353-367, 1995
A parallel Gauss–Seidel method for block tridiagonal linear systems
P Amodio, F Mazzia
SIAM Journal on Scientific Computing 16 (6), 1451-1461, 1995
Parallel implementation of block boundary value methods for ODEs
P Amodio, L Brugnano
Journal of Computational and Applied Mathematics 78 (2), 197-211, 1997
Parallel solution in time of ODEs: some achievements and perspectives
P Amodio, L Brugnano
Applied Numerical Mathematics 59 (3-4), 424-435, 2009
A matrix method for the solution of Sturm-Liouville problems
P Amodio, G Settanni
Journal of Numerical Analysis, Industrial and Applied Mathematics (JNAIAM) 6 …, 2011
Stability of some boundary value methods for the solution of initial value problems
P Amodio, F Mazzia, D Trigiante
BIT Numerical Mathematics 33, 434-451, 1993
Numerical solution of general bordered ABD linear systems by cyclic reduction
P Amodio, I Gladwell, G Romanazzi
JNAIAM J. Numer. Anal. Indust. Appl. Math 1 (1), 5-12, 2006
A cyclic reduction approach to the numerical solution of boundary value ODEs
P Amodio, M Paprzycki
SIAM Journal on Scientific Computing 18 (1), 56-68, 1997
Analysis of Spectral Hamiltonian Boundary Value Methods (SHBVMs) for the numerical solution of ODE problems
P Amodio, L Brugnano, F Iavernaro
Numerical Algorithms 83, 1489-1508, 2020
Numerical solution of differential algebraic equations and computation of consistent initial/boundary conditions
P Amodio, F Mazzia
Journal of Computational and Applied Mathematics 87 (1), 135-146, 1997
Parallel factorizations and parallel solvers for tridiagonal linear systems
P Amodio, L Brugnano
Linear algebra and its applications 172, 347-364, 1992
Energy-conserving methods for Hamiltonian Boundary Value Problems and applications in astrodynamics
P Amodio, L Brugnano, F Iavernaro
Advances in Computational Mathematics 41, 881-905, 2015
On consistency of finite difference approximations to the Navier-Stokes equations
P Amodio, Y Blinkov, V Gerdt, R La Scala
Computer Algebra in Scientific Computing: 15th International Workshop, CASC …, 2013
A parallel version of the cyclic reduction algorithm on a hypercube
P Amodio, N Mastronardi
Parallel Computing 19 (11), 1273-1281, 1993
The system can't perform the operation now. Try again later.
Articles 1–20