| 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 | 82 | 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 | 69 | 2000 |
| Numerical methods for solving initial value problems on the Infinity Computer Y Sergeyev, M Mukhametzhanov, F Mazzia, F Iavernaro, P Amodio | 65 | 2016 |
| 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 | 59 | 2005 |
| Parallel factorizations for tridiagonal matrices P Amodio, L Brugnano, T Politi SIAM journal on numerical analysis 30 (3), 813-823, 1993 | 56 | 1993 |
| Boundary value methods based on Adams-type methods P Amodio, F Mazzia Applied Numerical Mathematics 18 (1-3), 23-35, 1995 | 52 | 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 | 46 | 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 | 46 | 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 | 44 | 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 | 41 | 2020 |
| Parallel solution in time of ODEs: some achievements and perspectives P Amodio, L Brugnano Applied Numerical Mathematics 59 (3-4), 424-435, 2009 | 38 | 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 | 37 | 2011 |
| 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 | 37 | 1997 |
| 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 | 37 | 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 | 36 | 2006 |
| 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 | 35 | 1997 |
| Parallel factorizations and parallel solvers for tridiagonal linear systems P Amodio, L Brugnano Linear algebra and its applications 172, 347-364, 1992 | 35 | 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 | 34 | 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 | 33 | 2013 |
| A parallel version of the cyclic reduction algorithm on a hypercube P Amodio, N Mastronardi Parallel Computing 19 (11), 1273-1281, 1993 | 32 | 1993 |
Luigi BrugnanoFull Professor of Numerical Analysis, University of Firenze, ItalyVerified email at unifi.it
