Tridiagonal matrices and numerical solution of ordinary differential equations

LUIGI Brugnano , D Trigiante
World Scientific Series in Applicable Analysis 2 71 -83

2
1993
Special Issue Devoted to Professor Ian Gladwell

Luigi Brugnano , Pierluigi Amodio
Scalable Computing: Practice and Experience 10 ( 4)

2009
Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics

Felice Iavernaro , Luigi Brugnano , Pierluigi Amodio
Advances in Computational Mathematics 41 ( 4) 881 -905

22
2015
Line Integral Methods for Conservative Problems

Felice Iavernaro , Luigi Brugnano

131
2015
Spectrally accurate space-time solution of Hamiltonian PDEs

Felice Iavernaro , Luis Rández , Juan I. Montijano , Luigi Brugnano
Numerical Algorithms 81 ( 4) 1183 -1202

13
2019
Line Integral solution of Hamiltonian PDEs

Felice Iavernaro , Luigi Brugnano , Gianluca Frasca-Caccia
arXiv: Numerical Analysis

9
2019
A multiregional extension of the SIR model, with application to the COVID-19 spread in Italy.

Felice Iavernaro , Luigi Brugnano , Paolo Zanzottera
Mathematical Methods in The Applied Sciences 44 ( 6) 4414 -4427

1
2021
Preface to the virtual special issue recent developments in applied mathematics and computation

Yaroslav D. Sergeyev , Luigi Brugnano , Dmitry E. Kvasov
Applied Mathematics and Computation 126023

2021
Foreword to the virtual special issue dedicated to the 3rd International Conference NUMTA 2019 “Numerical Computations: Theory and Algorithms”

Yaroslav D. Sergeyev , Anatoly Zhigljavsky , Luigi Brugnano
Journal of Computational and Applied Mathematics 393 113545

2021
Parallel ODE solvers based on block BVMs

Pierluigi Amodio , Luigi Brugnano
Advances in Computational Mathematics 7 ( 1) 5 -26

10
1997
The parallel QR factorization algorithm for tridiagonal linear systems

Pierluigi Amodio , Luigi Brugnano
parallel computing 21 ( 7) 1097 -1110

8
1995
Blended implicit methods for solving ODE and DAE problems, and their extension for second-order problems

Luigi Brugnano , Cecilia Magherini
Journal of Computational and Applied Mathematics 205 ( 2) 777 -790

24
2007
Blended implicit methods for the numerical solution of DAE problems

Luigi Brugnano , Cecilia Magherini , Filippo Mugnai
Journal of Computational and Applied Mathematics 189 ( 1) 34 -50

34
2006
The lack of continuity and the role of infinite and infinitesimal in numerical methods for ODEs: The case of symplecticity☆

Luigi Brugnano , Felice Iavernaro , Donato Trigiante
Applied Mathematics and Computation 218 ( 16) 8056 -8063

41
2012
Line Integral Solution of Differential Problems

Luigi Brugnano , Felice Iavernaro
Axioms 7 ( 2) 36

22
2018
Advanced Numerical Methods in Applied Sciences

Luigi Brugnano , Felice Iavernaro
Axioms 8 ( 1) 16

1
2019
Preface to the special issue NUMTA 2013

Luigi Brugnano , Yaroslav D.Sergeyev , Anatoly A.Zhigljavsky
Communications in Nonlinear Science and Numerical Simulation 21 ( 1) 1 -2

2015
A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator

Luigi Brugnano , Chengjian Zhang , Dongfang Li
Communications in Nonlinear Science and Numerical Simulation 60 33 -49

30
2018
The BiM code for the numerical solution of ODEs

Luigi Brugnano , Cecilia Magherini
Journal of Computational and Applied Mathematics 164 ( 1) 145 -158

43
2004
An implicit difference scheme with the KPS preconditioner for two-dimensional time-space fractional convection-diffusion equations

Yongtao Zhou , Chengjian Zhang , Luigi Brugnano
Computers & Mathematics With Applications 80 ( 1) 31 -42

9
2020