Edit Profile (opens in new tab) Amodio, Pierluigi Co-Author Distance Author ID: amodio.pierluigi Published as: Amodio, Pierluigi; Amodio, P. Homepage: http://www.dm.uniba.it/~amodio/ External Links: MGP Documents Indexed: 78 Publications since 1991, including 2 Additional arXiv Preprints Co-Authors: 32 Co-Authors with 74 Joint Publications 870 Co-Co-Authors all top 5 Co-Authors 3 single-authored 25 Brugnano, Luigi 19 Iavernaro, Felice 18 Mazzia, Francesca 13 Settanni, Giuseppina 6 Paprzycki, Marcin 6 Trigiante, Donato 5 Weinmüller, Ewa B. 4 Giordano, Domenico 3 Gladwell, Ian 3 Levitina, Tatiana V. 3 Romanazzi, Giuseppe 3 Sgura, Ivonne 2 Blinkov, Yuri A. 2 Budd, Christopher John 2 Gerdt, Vladimir Petrovich 2 Koch, Othmar 2 La Scala, Roberto 2 Labianca, Arcangelo 2 Lazzo, Monica 2 Pisani, Lorenzo 2 Politi, Tiziano 1 Aceto, Lidia 1 Arnold, Anton 1 Cash, Jeff R. 1 Fairweather, Graeme 1 Frasca-Caccia, Gianluca 1 Golik, Wojciech L. 1 Kraut, G. L. 1 Mukhametzhanov, Marat S. 1 Rottschäfer, Vivi 1 Sergeev, Yaroslav Dmitrievich 1 Wright, R. W. all top 5 Serials 7 Journal of Computational and Applied Mathematics 6 Applied Numerical Mathematics 4 Applied Mathematics and Computation 4 Numerical Algorithms 4 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 3 BIT 3 Numerical Linear Algebra with Applications 2 Computers & Mathematics with Applications 2 European Journal of Physics 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Parallel Computing 2 Mathematical and Computer Modelling 2 Linear Algebra and its Applications 2 SIAM Journal on Scientific Computing 2 Advances in Computational Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 1 Computer Physics Communications 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Control and Cybernetics 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Physica D 1 Applied Mathematics Letters 1 IMPACT of Computing in Science and Engineering 1 Journal of Difference Equations and Applications 1 Soft Computing 1 European Journal of Mechanics. B. Fluids 1 Journal of Applied Mathematics and Computing 1 Mediterranean Journal of Mathematics 1 Communications in Computational Physics all top 5 Fields 72 Numerical analysis (65-XX) 36 Ordinary differential equations (34-XX) 9 Partial differential equations (35-XX) 5 Fluid mechanics (76-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 63 Publications have been cited 536 times in 317 Documents Cited by ▼ Year ▼ High-order finite difference schemes for the solution of second-order BVPs. Zbl 1073.65061 Amodio, Pierluigi; Sgura, Ivonne 26 2005 Parallel implementation of block boundary value methods for ODEs. Zbl 0868.65039 Amodio, Pierluigi; Brugnano, Luigi 24 1997 Parallel factorizations for tridiagonal matrices. Zbl 0809.65015 Amodio, P.; Brugnano, L.; Politi, T. 23 1993 Stability of some boundary value methods for the solution of initial value problems. Zbl 0795.65041 Amodio, P.; Mazzia, F.; Trigiante, D. 23 1993 Boundary value methods based on Adams-type methods. Zbl 0834.65065 Amodio, P.; Mazzia, F. 22 1995 A boundary value approach to the numerical solution of initial value problems by multistep methods. Zbl 0861.65062 Amodio, Pierluigi; Mazzia, Francesca 21 1995 A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic. Zbl 07313861 Amodio, P.; Iavernaro, F.; Mazzia, F.; Mukhametzhanov, M. S.; Sergeyev, Ya. D. 19 2017 Symmetric boundary value methods for second order initial and boundary value problems. Zbl 1117.65107 Amodio, Pierluigi; Iavernaro, Felice 18 2006 Almost block diagonal linear systems: sequential and parallel solution techniques, and applications. Zbl 1051.65018 Amodio, P.; Cash, J. R.; Roussos, G.; Wright, R. W.; Fairweather, G.; Gladwell, I.; Kraut, G. L.; Paprzycki, M. 18 2000 Boundary value methods for the solution of differential-algebraic equations. Zbl 0791.65052 Amodio, P.; Mazzia, F. 16 1994 Numerical solution of general bordered ABD linear systems by cyclic reduction. Zbl 1108.65017 Amodio, P.; Gladwell, I.; Romanazzi, G. 15 2006 A matrix method for the solution of Sturm-Liouville problems. Zbl 1432.65107 Amodio, Pierluigi; Settanni, Giuseppina 15 2011 Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics. Zbl 1327.65267 Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 15 2015 A note on the efficient implementation of implicit methods for ODEs. Zbl 0897.65052 Amodio, Pierluigi; Brugnano, Luigi 12 1997 A finite differences MATLAB code for the numerical solution of second order singular perturbation problems. Zbl 1246.65127 Amodio, Pierluigi; Settanni, Giuseppina 12 2012 High order generalized upwind schemes and numerical solution of singular perturbation problems. Zbl 1121.65089 Amodio, P.; Sgura, I. 11 2007 Numerical solution of differential algebraic equations and computation of consistent initial/boundary conditions. Zbl 0894.65031 Amodio, Pierluigi; Mazzia, Francesca 11 1997 The conditioning of Toeplitz band matrices. Zbl 0858.65045 Amodio, Pierluigi; Brugnano, Luigi 11 1996 On the calculation of the finite Hankel transform eigenfunctions. Zbl 1296.65188 Amodio, P.; Levitina, T.; Settanni, G.; Weinmüller, E. B. 11 2013 Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems. Zbl 1441.65062 Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 11 2020 Variable step/order generalized upwind methods for the numerical solution of second order singular perturbation problems. Zbl 1191.65097 Amodio, Pierluigi; Settanni, Giuseppina 10 2009 Variable-step boundary value methods based on reverse Adams schemes and their grid redistribution. Zbl 0834.65064 Amodio, P.; Golik, W. L.; Mazzia, F. 10 1995 A parallel Gauss-Seidel method for block tridiagonal linear systems. Zbl 0839.65042 Amodio, Pierluigi; Mazzia, Francesca 10 1995 Parallel solution in time of ODEs: Some achievements and perspectives. Zbl 1166.65349 Amodio, Pierluigi; Brugnano, Luigi 10 2009 Parallel ODE solvers based on block BVMs. Zbl 0884.65074 Amodio, Pierluigi; Brugnano, Luigi 10 1997 Parallel factorizations and parallel solvers for tridiagonal linear systems. Zbl 0756.65030 Amodio, P.; Brugnano, L. 9 1992 Numerical simulation of the whispering gallery modes in prolate spheroids. Zbl 1344.35019 Amodio, P.; Levitina, T.; Settanni, G.; Weinmüller, E. B. 9 2014 A note on the continuous-stage Runge-Kutta(-Nyström) formulation of Hamiltonian boundary value methods (HBVMs). Zbl 1433.65123 Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 8 2019 A new approach to backward error analysis of LU factorization. Zbl 0944.65026 Amodio, P.; Mazzia, F. 7 1999 A parallel direct method for solving initial value problems for ordinary differential equations. Zbl 0798.65078 Amodio, P.; Trigiante, D. 7 1993 On consistency of finite difference approximations to the Navier-Stokes equations. Zbl 1412.65063 Amodio, Pierluigi; Blinkov, Yuri; Gerdt, Vladimir; La Scala, Roberto 7 2013 An algorithm for the computation of consistent initial values for differential-algebraic equations. Zbl 0917.65065 Amodio, Pierluigi; Mazzia, Francesca 6 1998 A cyclic reduction approach to the numerical solution of boundary value ODEs. Zbl 0949.65080 Amodio, Pierluigi; Paprzycki, Marcin 6 1997 A parallel version of the cyclic reduction algorithm on a hypercube. Zbl 0806.65025 Amodio, P.; Mastronardi, N. 6 1993 Backward error analysis of cyclic reduction for the solution of tridiagonal systems. Zbl 0801.65022 Amodio, Pierluigi; Mazzia, Francesca 6 1994 Parallel iterative solvers for boundary value methods. Zbl 0855.65027 Amodio, P.; Mazzia, F. 5 1996 Asymptotical computations for a model of flow in saturated porous media. Zbl 1334.76148 Amodio, P.; Budd, C. J.; Koch, O.; Settanni, G.; Weinmüller, E. 5 2014 Variable-step finite difference schemes for the solution of Sturm-Liouville problems. Zbl 1304.65181 Amodio, Pierluigi; Settanni, Giuseppina 5 2015 A deferred correction approach to the solution of singularly perturbed BVPs by high order upwind methods: implementation details. Zbl 1182.65119 Amodio, Pierluigi; Settanni, Giuseppina 4 2009 Parallel block preconditioning for the solution of boundary value methods. Zbl 0859.65071 Amodio, Pierluigi; Mazzia, Francesca 4 1996 Algorithm 859: BABDCR – a Fortran 90 package for the solution of bordered ABD linear systems. Zbl 1230.65038 Amodio, Pierluigi; Romanazzi, Giuseppe 4 2006 Optimized cyclic reduction for the solution of linear tridiagonal systems on parallel computers. Zbl 0776.65017 Amodio, P. 4 1993 High order finite difference schemes for the solution of second order initial value problems. Zbl 1432.65085 Amodio, Pierluigi; Settanni, Giuseppina 4 2010 A symplectic Lanczos-type algorithm to compute the eigenvalues of positive definite Hamiltonian matrices. Zbl 1147.65305 Amodio, Pierluigi 4 2003 Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations. Zbl 1426.76449 Amodio, Pierluigi; Blinkov, Yuri; Gerdt, Vladimir; La Scala, Roberto 4 2017 ParalleloGAM: A parallel code for ODEs. Zbl 0927.65088 Amodio, Pierluigi; Brugnano, Luigi 3 1998 Conservative perturbations of positive definite Hamiltonian matrices. Zbl 1164.15338 Amodio, P.; Iavernaro, F.; Trigiante, D. 3 2005 The parallel QR factorization algorithm for tridiagonal linear systems. Zbl 0875.68774 Amodio, Pierluigi; Brugnano, Luigi 3 1995 Parallel solution of almost block diagonal systems on a hypercube. Zbl 0860.65066 Amodio, P.; Paprzycki, M. 3 1996 Recent advances in bibliometric indexes and the PaperRank problem. Zbl 1293.62043 Amodio, Pierluigi; Brugnano, Luigi 3 2014 Reprint of “Variable-step finite difference schemes for the solution of Sturm-Liouville problems”. Zbl 1329.65162 Amodio, Pierluigi; Settanni, Giuseppina 3 2015 Fluid statics of a self-gravitating perfect-gas isothermal sphere. Zbl 1476.76062 Giordano, Domenico; Amodio, Pierluigi; Iavernaro, Felice; Labianca, Arcangelo; Lazzo, Monica; Mazzia, Francesca; Pisani, Lorenzo 3 2019 A survey of parallel direct methods for block bidiagonal linear systems on distributed memory computers. Zbl 0866.65022 Amodio, P.; Paprzycki, M.; Politi, T. 2 1996 Conservation properties of symmetric BVMs applied to linear Hamiltonian problems. Zbl 1056.65137 Amodio, Pierluigi; Iavernaro, Felice; Trigiante, Donato 2 2002 A dynamic precision floating-point arithmetic based on the Infinity Computer framework. Zbl 07250760 Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice; Mazzia, Francesca 2 2020 Numerical strategies for solving multiparameter spectral problems. Zbl 07250761 Amodio, Pierluigi; Settanni, Giuseppina 2 2020 On the use of the infinity computer architecture to set up a dynamic precision floating-point arithmetic. Zbl 1491.65179 Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice; Mazzia, Francesca 2 2020 Arbitrarily high-order energy-conserving methods for Poisson problems. Zbl 1498.65115 Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 2 2022 Symmetric schemes and Hamiltonian perturbations of linear Hamiltonian problems. Zbl 1164.65436 Amodio, P.; Iavernaro, F.; Trigiante, D. 1 2005 Recent advances in the parallel solution to almost block diagonal systems. Zbl 0905.65042 Amodio, P.; Paprzycki, M. 1 1996 Near critical, self-similar, blow-up solutions of the generalised Korteweg-de Vries equation: asymptotics and computations. Zbl 1453.37064 Amodio, Pierluigi; Budd, Chris J.; Koch, Othmar; Rottschäfer, Vivi; Settanni, Giuseppina; Weinmüller, Ewa 1 2020 Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function. Zbl 1491.65062 Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 1 2022 Considerations about the incompleteness of the Ehrenfest’s theorem in quantum mechanics. Zbl 1527.81060 Giordano, Domenico; Amodio, Pierluigi 1 2021 Arbitrarily high-order energy-conserving methods for Poisson problems. Zbl 1498.65115 Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 2 2022 Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function. Zbl 1491.65062 Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 1 2022 Considerations about the incompleteness of the Ehrenfest’s theorem in quantum mechanics. Zbl 1527.81060 Giordano, Domenico; Amodio, Pierluigi 1 2021 Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems. Zbl 1441.65062 Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 11 2020 A dynamic precision floating-point arithmetic based on the Infinity Computer framework. Zbl 07250760 Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice; Mazzia, Francesca 2 2020 Numerical strategies for solving multiparameter spectral problems. Zbl 07250761 Amodio, Pierluigi; Settanni, Giuseppina 2 2020 On the use of the infinity computer architecture to set up a dynamic precision floating-point arithmetic. Zbl 1491.65179 Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice; Mazzia, Francesca 2 2020 Near critical, self-similar, blow-up solutions of the generalised Korteweg-de Vries equation: asymptotics and computations. Zbl 1453.37064 Amodio, Pierluigi; Budd, Chris J.; Koch, Othmar; Rottschäfer, Vivi; Settanni, Giuseppina; Weinmüller, Ewa 1 2020 A note on the continuous-stage Runge-Kutta(-Nyström) formulation of Hamiltonian boundary value methods (HBVMs). Zbl 1433.65123 Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 8 2019 Fluid statics of a self-gravitating perfect-gas isothermal sphere. Zbl 1476.76062 Giordano, Domenico; Amodio, Pierluigi; Iavernaro, Felice; Labianca, Arcangelo; Lazzo, Monica; Mazzia, Francesca; Pisani, Lorenzo 3 2019 A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic. Zbl 07313861 Amodio, P.; Iavernaro, F.; Mazzia, F.; Mukhametzhanov, M. S.; Sergeyev, Ya. D. 19 2017 Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations. Zbl 1426.76449 Amodio, Pierluigi; Blinkov, Yuri; Gerdt, Vladimir; La Scala, Roberto 4 2017 Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics. Zbl 1327.65267 Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 15 2015 Variable-step finite difference schemes for the solution of Sturm-Liouville problems. Zbl 1304.65181 Amodio, Pierluigi; Settanni, Giuseppina 5 2015 Reprint of “Variable-step finite difference schemes for the solution of Sturm-Liouville problems”. Zbl 1329.65162 Amodio, Pierluigi; Settanni, Giuseppina 3 2015 Numerical simulation of the whispering gallery modes in prolate spheroids. Zbl 1344.35019 Amodio, P.; Levitina, T.; Settanni, G.; Weinmüller, E. B. 9 2014 Asymptotical computations for a model of flow in saturated porous media. Zbl 1334.76148 Amodio, P.; Budd, C. J.; Koch, O.; Settanni, G.; Weinmüller, E. 5 2014 Recent advances in bibliometric indexes and the PaperRank problem. Zbl 1293.62043 Amodio, Pierluigi; Brugnano, Luigi 3 2014 On the calculation of the finite Hankel transform eigenfunctions. Zbl 1296.65188 Amodio, P.; Levitina, T.; Settanni, G.; Weinmüller, E. B. 11 2013 On consistency of finite difference approximations to the Navier-Stokes equations. Zbl 1412.65063 Amodio, Pierluigi; Blinkov, Yuri; Gerdt, Vladimir; La Scala, Roberto 7 2013 A finite differences MATLAB code for the numerical solution of second order singular perturbation problems. Zbl 1246.65127 Amodio, Pierluigi; Settanni, Giuseppina 12 2012 A matrix method for the solution of Sturm-Liouville problems. Zbl 1432.65107 Amodio, Pierluigi; Settanni, Giuseppina 15 2011 High order finite difference schemes for the solution of second order initial value problems. Zbl 1432.65085 Amodio, Pierluigi; Settanni, Giuseppina 4 2010 Variable step/order generalized upwind methods for the numerical solution of second order singular perturbation problems. Zbl 1191.65097 Amodio, Pierluigi; Settanni, Giuseppina 10 2009 Parallel solution in time of ODEs: Some achievements and perspectives. Zbl 1166.65349 Amodio, Pierluigi; Brugnano, Luigi 10 2009 A deferred correction approach to the solution of singularly perturbed BVPs by high order upwind methods: implementation details. Zbl 1182.65119 Amodio, Pierluigi; Settanni, Giuseppina 4 2009 High order generalized upwind schemes and numerical solution of singular perturbation problems. Zbl 1121.65089 Amodio, P.; Sgura, I. 11 2007 Symmetric boundary value methods for second order initial and boundary value problems. Zbl 1117.65107 Amodio, Pierluigi; Iavernaro, Felice 18 2006 Numerical solution of general bordered ABD linear systems by cyclic reduction. Zbl 1108.65017 Amodio, P.; Gladwell, I.; Romanazzi, G. 15 2006 Algorithm 859: BABDCR – a Fortran 90 package for the solution of bordered ABD linear systems. Zbl 1230.65038 Amodio, Pierluigi; Romanazzi, Giuseppe 4 2006 High-order finite difference schemes for the solution of second-order BVPs. Zbl 1073.65061 Amodio, Pierluigi; Sgura, Ivonne 26 2005 Conservative perturbations of positive definite Hamiltonian matrices. Zbl 1164.15338 Amodio, P.; Iavernaro, F.; Trigiante, D. 3 2005 Symmetric schemes and Hamiltonian perturbations of linear Hamiltonian problems. Zbl 1164.65436 Amodio, P.; Iavernaro, F.; Trigiante, D. 1 2005 A symplectic Lanczos-type algorithm to compute the eigenvalues of positive definite Hamiltonian matrices. Zbl 1147.65305 Amodio, Pierluigi 4 2003 Conservation properties of symmetric BVMs applied to linear Hamiltonian problems. Zbl 1056.65137 Amodio, Pierluigi; Iavernaro, Felice; Trigiante, Donato 2 2002 Almost block diagonal linear systems: sequential and parallel solution techniques, and applications. Zbl 1051.65018 Amodio, P.; Cash, J. R.; Roussos, G.; Wright, R. W.; Fairweather, G.; Gladwell, I.; Kraut, G. L.; Paprzycki, M. 18 2000 A new approach to backward error analysis of LU factorization. Zbl 0944.65026 Amodio, P.; Mazzia, F. 7 1999 An algorithm for the computation of consistent initial values for differential-algebraic equations. Zbl 0917.65065 Amodio, Pierluigi; Mazzia, Francesca 6 1998 ParalleloGAM: A parallel code for ODEs. Zbl 0927.65088 Amodio, Pierluigi; Brugnano, Luigi 3 1998 Parallel implementation of block boundary value methods for ODEs. Zbl 0868.65039 Amodio, Pierluigi; Brugnano, Luigi 24 1997 A note on the efficient implementation of implicit methods for ODEs. Zbl 0897.65052 Amodio, Pierluigi; Brugnano, Luigi 12 1997 Numerical solution of differential algebraic equations and computation of consistent initial/boundary conditions. Zbl 0894.65031 Amodio, Pierluigi; Mazzia, Francesca 11 1997 Parallel ODE solvers based on block BVMs. Zbl 0884.65074 Amodio, Pierluigi; Brugnano, Luigi 10 1997 A cyclic reduction approach to the numerical solution of boundary value ODEs. Zbl 0949.65080 Amodio, Pierluigi; Paprzycki, Marcin 6 1997 The conditioning of Toeplitz band matrices. Zbl 0858.65045 Amodio, Pierluigi; Brugnano, Luigi 11 1996 Parallel iterative solvers for boundary value methods. Zbl 0855.65027 Amodio, P.; Mazzia, F. 5 1996 Parallel block preconditioning for the solution of boundary value methods. Zbl 0859.65071 Amodio, Pierluigi; Mazzia, Francesca 4 1996 Parallel solution of almost block diagonal systems on a hypercube. Zbl 0860.65066 Amodio, P.; Paprzycki, M. 3 1996 A survey of parallel direct methods for block bidiagonal linear systems on distributed memory computers. Zbl 0866.65022 Amodio, P.; Paprzycki, M.; Politi, T. 2 1996 Recent advances in the parallel solution to almost block diagonal systems. Zbl 0905.65042 Amodio, P.; Paprzycki, M. 1 1996 Boundary value methods based on Adams-type methods. Zbl 0834.65065 Amodio, P.; Mazzia, F. 22 1995 A boundary value approach to the numerical solution of initial value problems by multistep methods. Zbl 0861.65062 Amodio, Pierluigi; Mazzia, Francesca 21 1995 Variable-step boundary value methods based on reverse Adams schemes and their grid redistribution. Zbl 0834.65064 Amodio, P.; Golik, W. L.; Mazzia, F. 10 1995 A parallel Gauss-Seidel method for block tridiagonal linear systems. Zbl 0839.65042 Amodio, Pierluigi; Mazzia, Francesca 10 1995 The parallel QR factorization algorithm for tridiagonal linear systems. Zbl 0875.68774 Amodio, Pierluigi; Brugnano, Luigi 3 1995 Boundary value methods for the solution of differential-algebraic equations. Zbl 0791.65052 Amodio, P.; Mazzia, F. 16 1994 Backward error analysis of cyclic reduction for the solution of tridiagonal systems. Zbl 0801.65022 Amodio, Pierluigi; Mazzia, Francesca 6 1994 Parallel factorizations for tridiagonal matrices. Zbl 0809.65015 Amodio, P.; Brugnano, L.; Politi, T. 23 1993 Stability of some boundary value methods for the solution of initial value problems. Zbl 0795.65041 Amodio, P.; Mazzia, F.; Trigiante, D. 23 1993 A parallel direct method for solving initial value problems for ordinary differential equations. Zbl 0798.65078 Amodio, P.; Trigiante, D. 7 1993 A parallel version of the cyclic reduction algorithm on a hypercube. Zbl 0806.65025 Amodio, P.; Mastronardi, N. 6 1993 Optimized cyclic reduction for the solution of linear tridiagonal systems on parallel computers. Zbl 0776.65017 Amodio, P. 4 1993 Parallel factorizations and parallel solvers for tridiagonal linear systems. Zbl 0756.65030 Amodio, P.; Brugnano, L. 9 1992 all cited Publications top 5 cited Publications all top 5 Cited by 376 Authors 44 Amodio, Pierluigi 41 Brugnano, Luigi 24 Iavernaro, Felice 23 Mazzia, Francesca 14 Trigiante, Donato 11 Magherini, Cecilia 11 Simos, Theodore E. 10 Sergeev, Yaroslav Dmitrievich 10 Settanni, Giuseppina 9 Chen, Hao 9 Weinmüller, Ewa B. 9 Zhang, Chengjian 8 Jator, Samuel N. 8 Xu, Yang 8 Zhao, Jingjun 7 Anastassi, Zacharias A. 7 Sgura, Ivonne 6 Ghelardoni, Paolo 6 Ramos, Higinio 5 Aceto, Lidia 5 Biala, Toheeb A. 5 Cococcioni, Marco 5 Fairweather, Graeme 5 Gerdt, Vladimir Petrovich 5 Ikhile, Monday Ndidi Oziegbe 5 Jiang, Yaolin 5 Ogunfeyitimi, S. E. 5 Vlachos, Dimitrios 4 Fiaschi, Lorenzo 4 Frasca-Caccia, Gianluca 4 Giordano, Domenico 4 Huang, Ting-Zhu 4 Jiang, Xingzhou 4 Levitina, Tatiana V. 4 Marzulli, Pietro 4 Mukhametzhanov, Marat S. 4 Nwachukwu, Grace C. 4 Paprzycki, Marcin 4 Rufai, Mufutau Ajani 3 Bozzini, Benedetto 3 De Leone, Renato 3 Fabien, Brian C. 3 Jia, Jiteng 3 Koch, Othmar 3 Konguetsof, Avrilia 3 Lacitignola, Deborah 3 Li, Zhen 3 Liu, Zhongyun 3 Mohebbi, Akbar 3 Okor, T. 3 Ruprecht, Daniel 3 Wu, Chiye 3 Wu, Xinyuan 2 Al-Kurdi, Ahmad H. 2 Arnold, Anton 2 Bayram, Mustafa 2 Benner, Peter 2 Bialecki, Bernard 2 Budd, Christopher John 2 Caldarola, Fabio 2 Cash, Jeff R. 2 Dehghan Takht Fooladi, Mehdi 2 Ehigie, Julius Osato 2 Falcone, Alberto 2 Fan, Yan 2 Gao, Wenwu 2 Gao, Zheng 2 Garro, Alfredo 2 Gerdts, Matthias 2 Gheri, Giovanni 2 Gurioli, Gianmarco 2 Hochstenbach, Michiel E. 2 Huang, Li 2 La Scala, Roberto 2 Labianca, Arcangelo 2 Lamour, René 2 Lazzo, Monica 2 Lopez, Luciano 2 Luan, Vu Thai 2 März, Roswitha 2 Mei, Lijie 2 Montijano, Juan Ignacio 2 Okunuga, Solomon A. 2 Pappalardo, Massimo 2 Pisani, Lorenzo 2 Politi, Tiziano 2 Rández, Luis 2 Sestini, Alessandra 2 Speck, Robert 2 Stykel, Tatjana 2 Sun, Zhengjie 2 Tan, Xueyuan 2 Tian, Zhaolu 2 Wang, Huiru 2 Xu, Da 2 Yang, Chaoyi 2 Zhang, Xiaojing 2 Zhou, Yongtao 1 Abe, Sumiyoshi 1 Absil, Pierre-Antoine ...and 276 more Authors all top 5 Cited in 88 Serials 44 Journal of Computational and Applied Mathematics 36 Applied Mathematics and Computation 27 Applied Numerical Mathematics 18 Numerical Algorithms 13 Computers & Mathematics with Applications 13 Journal of Mathematical Chemistry 8 International Journal of Computer Mathematics 6 Journal of Computational Physics 6 Numerical Linear Algebra with Applications 5 BIT 5 Mathematics and Computers in Simulation 5 Linear Algebra and its Applications 5 Communications in Nonlinear Science and Numerical Simulation 5 International Journal of Applied and Computational Mathematics 4 Computer Physics Communications 4 Calcolo 4 Computational and Applied Mathematics 4 Soft Computing 3 Journal of the Nigerian Mathematical Society 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Journal of Scientific Computing 3 Applied Mathematical Modelling 3 SIAM Journal on Scientific Computing 3 Mediterranean Journal of Mathematics 2 European Journal of Physics 2 Mathematical Methods in the Applied Sciences 2 Mathematics of Computation 2 Programming and Computer Software 2 Optimal Control Applications & Methods 2 Physica D 2 Advances in Computational Mathematics 2 Journal of Difference Equations and Applications 2 Mathematical Problems in Engineering 2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Afrika Matematika 2 Journal of the Korean Society for Industrial and Applied Mathematics 2 Axioms 2 Cogent Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Mathematical Education in Science and Technology 1 Physica A 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 International Journal for Numerical Methods in Engineering 1 Journal of Algebra 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Theoretical Computer Science 1 Acta Applicandae Mathematicae 1 Journal of Computational Mathematics 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Integral Equations and Applications 1 Computational Mathematics and Mathematical Physics 1 Computational Optimization and Applications 1 Physics of Fluids 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 ETNA. Electronic Transactions on Numerical Analysis 1 The Journal of Fourier Analysis and Applications 1 ELA. The Electronic Journal of Linear Algebra 1 Parallel Algorithms and Applications 1 Computing and Visualization in Science 1 International Journal of Computational Fluid Dynamics 1 Multibody System Dynamics 1 Abstract and Applied Analysis 1 Fractional Calculus & Applied Analysis 1 European Journal of Mechanics. B. Fluids 1 International Journal of Applied Mathematics and Computer Science 1 Foundations of Science 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics and Computing 1 SIAM Journal on Applied Dynamical Systems 1 International Journal of Numerical Analysis and Modeling 1 Communications in Applied Mathematics and Computational Science 1 Optimization Letters 1 Communications in Computational Physics 1 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică 1 Advances in Numerical Analysis 1 International Journal of Differential Equations 1 International Journal of Nonlinear Analysis and Applications 1 Symmetry 1 Special Matrices 1 Nonlinear Analysis. Theory, Methods & Applications 1 Computational Methods for Differential Equations 1 International Journal of Systems Science. Principles and Applications of Systems and Integration all top 5 Cited in 42 Fields 277 Numerical analysis (65-XX) 98 Ordinary differential equations (34-XX) 44 Partial differential equations (35-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Fluid mechanics (76-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Computer science (68-XX) 13 Quantum theory (81-XX) 9 Integral equations (45-XX) 9 Operations research, mathematical programming (90-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Optics, electromagnetic theory (78-XX) 6 Systems theory; control (93-XX) 4 Mathematical logic and foundations (03-XX) 4 Commutative algebra (13-XX) 4 Real functions (26-XX) 3 General and overarching topics; collections (00-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Measure and integration (28-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year