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: 76 Publications since 1991 Co-Authors: 31 Co-Authors with 72 Joint Publications 835 Co-Co-Authors all top 5 Co-Authors 3 single-authored 23 Brugnano, Luigi 18 Mazzia, Francesca 17 Iavernaro, Felice 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 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 70 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 62 Publications have been cited 516 times in 305 Documents Cited by ▼ Year ▼ High-order finite difference schemes for the solution of second-order BVPs. Zbl 1073.65061Amodio, Pierluigi; Sgura, Ivonne 26 2005 Stability of some boundary value methods for the solution of initial value problems. Zbl 0795.65041Amodio, P.; Mazzia, F.; Trigiante, D. 23 1993 Parallel factorizations for tridiagonal matrices. Zbl 0809.65015Amodio, P.; Brugnano, L.; Politi, T. 22 1993 Parallel implementation of block boundary value methods for ODEs. Zbl 0868.65039Amodio, Pierluigi; Brugnano, Luigi 22 1997 Boundary value methods based on Adams-type methods. Zbl 0834.65065Amodio, P.; Mazzia, F. 21 1995 A boundary value approach to the numerical solution of initial value problems by multistep methods. Zbl 0861.65062Amodio, Pierluigi; Mazzia, Francesca 20 1995 A generalized Taylor method of order three for the solution of initial value problems in standard and infinity floating-point arithmetic. Zbl 07313861Amodio, P.; Iavernaro, F.; Mazzia, F.; Mukhametzhanov, M. S.; Sergeyev, Ya. D. 17 2017 Almost block diagonal linear systems: sequential and parallel solution techniques, and applications. Zbl 1051.65018Amodio, P.; Cash, J. R.; Roussos, G.; Wright, R. W.; Fairweather, G.; Gladwell, I.; Kraut, G. L.; Paprzycki, M. 17 2000 Boundary value methods for the solution of differential-algebraic equations. Zbl 0791.65052Amodio, P.; Mazzia, F. 16 1994 Numerical solution of general bordered ABD linear systems by cyclic reduction. Zbl 1108.65017Amodio, P.; Gladwell, I.; Romanazzi, G. 15 2006 Symmetric boundary value methods for second order initial and boundary value problems. Zbl 1117.65107Amodio, Pierluigi; Iavernaro, Felice 15 2006 Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics. Zbl 1327.65267Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 15 2015 A matrix method for the solution of Sturm-Liouville problems. Zbl 1432.65107Amodio, Pierluigi; Settanni, Giuseppina 14 2011 A finite differences MATLAB code for the numerical solution of second order singular perturbation problems. Zbl 1246.65127Amodio, Pierluigi; Settanni, Giuseppina 12 2012 A note on the efficient implementation of implicit methods for ODEs. Zbl 0897.65052Amodio, Pierluigi; Brugnano, Luigi 12 1997 High order generalized upwind schemes and numerical solution of singular perturbation problems. Zbl 1121.65089Amodio, P.; Sgura, I. 11 2007 The conditioning of Toeplitz band matrices. Zbl 0858.65045Amodio, Pierluigi; Brugnano, Luigi 11 1996 Numerical solution of differential algebraic equations and computation of consistent initial/boundary conditions. Zbl 0894.65031Amodio, Pierluigi; Mazzia, Francesca 11 1997 Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems. Zbl 1441.65062Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 11 2020 On the calculation of the finite Hankel transform eigenfunctions. Zbl 1296.65188Amodio, P.; Levitina, T.; Settanni, G.; Weinmüller, E. B. 11 2013 Parallel solution in time of ODEs: Some achievements and perspectives. Zbl 1166.65349Amodio, Pierluigi; Brugnano, Luigi 10 2009 Variable-step boundary value methods based on reverse Adams schemes and their grid redistribution. Zbl 0834.65064Amodio, P.; Golik, W. L.; Mazzia, F. 10 1995 Variable step/order generalized upwind methods for the numerical solution of second order singular perturbation problems. Zbl 1191.65097Amodio, Pierluigi; Settanni, Giuseppina 10 2009 Numerical simulation of the whispering gallery modes in prolate spheroids. Zbl 1344.35019Amodio, P.; Levitina, T.; Settanni, G.; Weinmüller, E. B. 9 2014 A parallel Gauss-Seidel method for block tridiagonal linear systems. Zbl 0839.65042Amodio, Pierluigi; Mazzia, Francesca 9 1995 Parallel factorizations and parallel solvers for tridiagonal linear systems. Zbl 0756.65030Amodio, P.; Brugnano, L. 9 1992 Parallel ODE solvers based on block BVMs. Zbl 0884.65074Amodio, Pierluigi; Brugnano, Luigi 9 1997 A note on the continuous-stage Runge-Kutta(-Nyström) formulation of Hamiltonian boundary value methods (HBVMs). Zbl 1433.65123Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 7 2019 A parallel direct method for solving initial value problems for ordinary differential equations. Zbl 0798.65078Amodio, P.; Trigiante, D. 7 1993 A new approach to backward error analysis of LU factorization. Zbl 0944.65026Amodio, P.; Mazzia, F. 7 1999 A parallel version of the cyclic reduction algorithm on a hypercube. Zbl 0806.65025Amodio, P.; Mastronardi, N. 6 1993 Backward error analysis of cyclic reduction for the solution of tridiagonal systems. Zbl 0801.65022Amodio, Pierluigi; Mazzia, Francesca 6 1994 A cyclic reduction approach to the numerical solution of boundary value ODEs. Zbl 0949.65080Amodio, Pierluigi; Paprzycki, Marcin 6 1997 An algorithm for the computation of consistent initial values for differential-algebraic equations. Zbl 0917.65065Amodio, Pierluigi; Mazzia, Francesca 6 1998 On consistency of finite difference approximations to the Navier-Stokes equations. Zbl 1412.65063Amodio, Pierluigi; Blinkov, Yuri; Gerdt, Vladimir; La Scala, Roberto 6 2013 Variable-step finite difference schemes for the solution of Sturm-Liouville problems. Zbl 1304.65181Amodio, Pierluigi; Settanni, Giuseppina 5 2015 Parallel iterative solvers for boundary value methods. Zbl 0855.65027Amodio, P.; Mazzia, F. 5 1996 Optimized cyclic reduction for the solution of linear tridiagonal systems on parallel computers. Zbl 0776.65017Amodio, P. 4 1993 A deferred correction approach to the solution of singularly perturbed BVPs by high order upwind methods: implementation details. Zbl 1182.65119Amodio, Pierluigi; Settanni, Giuseppina 4 2009 A symplectic Lanczos-type algorithm to compute the eigenvalues of positive definite Hamiltonian matrices. Zbl 1147.65305Amodio, Pierluigi 4 2003 Algorithm 859: BABDCR – a Fortran 90 package for the solution of bordered ABD linear systems. Zbl 1230.65038Amodio, Pierluigi; Romanazzi, Giuseppe 4 2006 Parallel block preconditioning for the solution of boundary value methods. Zbl 0859.65071Amodio, Pierluigi; Mazzia, Francesca 4 1996 Asymptotical computations for a model of flow in saturated porous media. Zbl 1334.76148Amodio, P.; Budd, C. J.; Koch, O.; Settanni, G.; Weinmüller, E. 4 2014 Reprint of “Variable-step finite difference schemes for the solution of Sturm-Liouville problems”. Zbl 1329.65162Amodio, Pierluigi; Settanni, Giuseppina 3 2015 Conservative perturbations of positive definite Hamiltonian matrices. Zbl 1164.15338Amodio, P.; Iavernaro, F.; Trigiante, D. 3 2005 Fluid statics of a self-gravitating perfect-gas isothermal sphere. Zbl 1476.76062Giordano, Domenico; Amodio, Pierluigi; Iavernaro, Felice; Labianca, Arcangelo; Lazzo, Monica; Mazzia, Francesca; Pisani, Lorenzo 3 2019 Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations. Zbl 1426.76449Amodio, Pierluigi; Blinkov, Yuri; Gerdt, Vladimir; La Scala, Roberto 3 2017 Parallel solution of almost block diagonal systems on a hypercube. Zbl 0860.65066Amodio, P.; Paprzycki, M. 3 1996 The parallel QR factorization algorithm for tridiagonal linear systems. Zbl 0875.68774Amodio, Pierluigi; Brugnano, Luigi 3 1995 ParalleloGAM: A parallel code for ODEs. Zbl 0927.65088Amodio, Pierluigi; Brugnano, Luigi 3 1998 Recent advances in bibliometric indexes and the PaperRank problem. Zbl 1293.62043Amodio, Pierluigi; Brugnano, Luigi 3 2014 High order finite difference schemes for the solution of second order initial value problems. Zbl 1432.65085Amodio, Pierluigi; Settanni, Giuseppina 3 2010 A survey of parallel direct methods for block bidiagonal linear systems on distributed memory computers. Zbl 0866.65022Amodio, P.; Paprzycki, M.; Politi, T. 2 1996 A dynamic precision floating-point arithmetic based on the Infinity Computer framework. Zbl 07250760Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice; Mazzia, Francesca 2 2020 Numerical strategies for solving multiparameter spectral problems. Zbl 07250761Amodio, Pierluigi; Settanni, Giuseppina 2 2020 Conservation properties of symmetric BVMs applied to linear Hamiltonian problems. Zbl 1056.65137Amodio, Pierluigi; Iavernaro, Felice; Trigiante, Donato 2 2002 On the use of the infinity computer architecture to set up a dynamic precision floating-point arithmetic. Zbl 1491.65179Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice; Mazzia, Francesca 2 2020 Arbitrarily high-order energy-conserving methods for Poisson problems. Zbl 1498.65115Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 2 2022 Near critical, self-similar, blow-up solutions of the generalised Korteweg-de Vries equation: asymptotics and computations. Zbl 1453.37064Amodio, Pierluigi; Budd, Chris J.; Koch, Othmar; Rottschäfer, Vivi; Settanni, Giuseppina; Weinmüller, Ewa 1 2020 Symmetric schemes and Hamiltonian perturbations of linear Hamiltonian problems. Zbl 1164.65436Amodio, P.; Iavernaro, F.; Trigiante, D. 1 2005 Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function. Zbl 1491.65062Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 1 2022 Recent advances in the parallel solution to almost block diagonal systems. Zbl 0905.65042Amodio, P.; Paprzycki, M. 1 1996 Arbitrarily high-order energy-conserving methods for Poisson problems. Zbl 1498.65115Amodio, 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 1491.65062Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 1 2022 Analysis of spectral Hamiltonian boundary value methods (SHBVMs) for the numerical solution of ODE problems. Zbl 1441.65062Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 11 2020 A dynamic precision floating-point arithmetic based on the Infinity Computer framework. Zbl 07250760Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice; Mazzia, Francesca 2 2020 Numerical strategies for solving multiparameter spectral problems. Zbl 07250761Amodio, Pierluigi; Settanni, Giuseppina 2 2020 On the use of the infinity computer architecture to set up a dynamic precision floating-point arithmetic. Zbl 1491.65179Amodio, 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 1453.37064Amodio, 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 1433.65123Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 7 2019 Fluid statics of a self-gravitating perfect-gas isothermal sphere. Zbl 1476.76062Giordano, 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 07313861Amodio, P.; Iavernaro, F.; Mazzia, F.; Mukhametzhanov, M. S.; Sergeyev, Ya. D. 17 2017 Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations. Zbl 1426.76449Amodio, Pierluigi; Blinkov, Yuri; Gerdt, Vladimir; La Scala, Roberto 3 2017 Energy-conserving methods for Hamiltonian boundary value problems and applications in astrodynamics. Zbl 1327.65267Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice 15 2015 Variable-step finite difference schemes for the solution of Sturm-Liouville problems. Zbl 1304.65181Amodio, Pierluigi; Settanni, Giuseppina 5 2015 Reprint of “Variable-step finite difference schemes for the solution of Sturm-Liouville problems”. Zbl 1329.65162Amodio, Pierluigi; Settanni, Giuseppina 3 2015 Numerical simulation of the whispering gallery modes in prolate spheroids. Zbl 1344.35019Amodio, P.; Levitina, T.; Settanni, G.; Weinmüller, E. B. 9 2014 Asymptotical computations for a model of flow in saturated porous media. Zbl 1334.76148Amodio, P.; Budd, C. J.; Koch, O.; Settanni, G.; Weinmüller, E. 4 2014 Recent advances in bibliometric indexes and the PaperRank problem. Zbl 1293.62043Amodio, Pierluigi; Brugnano, Luigi 3 2014 On the calculation of the finite Hankel transform eigenfunctions. Zbl 1296.65188Amodio, P.; Levitina, T.; Settanni, G.; Weinmüller, E. B. 11 2013 On consistency of finite difference approximations to the Navier-Stokes equations. Zbl 1412.65063Amodio, Pierluigi; Blinkov, Yuri; Gerdt, Vladimir; La Scala, Roberto 6 2013 A finite differences MATLAB code for the numerical solution of second order singular perturbation problems. Zbl 1246.65127Amodio, Pierluigi; Settanni, Giuseppina 12 2012 A matrix method for the solution of Sturm-Liouville problems. Zbl 1432.65107Amodio, Pierluigi; Settanni, Giuseppina 14 2011 High order finite difference schemes for the solution of second order initial value problems. Zbl 1432.65085Amodio, Pierluigi; Settanni, Giuseppina 3 2010 Parallel solution in time of ODEs: Some achievements and perspectives. Zbl 1166.65349Amodio, Pierluigi; Brugnano, Luigi 10 2009 Variable step/order generalized upwind methods for the numerical solution of second order singular perturbation problems. Zbl 1191.65097Amodio, Pierluigi; Settanni, Giuseppina 10 2009 A deferred correction approach to the solution of singularly perturbed BVPs by high order upwind methods: implementation details. Zbl 1182.65119Amodio, Pierluigi; Settanni, Giuseppina 4 2009 High order generalized upwind schemes and numerical solution of singular perturbation problems. Zbl 1121.65089Amodio, P.; Sgura, I. 11 2007 Numerical solution of general bordered ABD linear systems by cyclic reduction. Zbl 1108.65017Amodio, P.; Gladwell, I.; Romanazzi, G. 15 2006 Symmetric boundary value methods for second order initial and boundary value problems. Zbl 1117.65107Amodio, Pierluigi; Iavernaro, Felice 15 2006 Algorithm 859: BABDCR – a Fortran 90 package for the solution of bordered ABD linear systems. Zbl 1230.65038Amodio, Pierluigi; Romanazzi, Giuseppe 4 2006 High-order finite difference schemes for the solution of second-order BVPs. Zbl 1073.65061Amodio, Pierluigi; Sgura, Ivonne 26 2005 Conservative perturbations of positive definite Hamiltonian matrices. Zbl 1164.15338Amodio, P.; Iavernaro, F.; Trigiante, D. 3 2005 Symmetric schemes and Hamiltonian perturbations of linear Hamiltonian problems. Zbl 1164.65436Amodio, P.; Iavernaro, F.; Trigiante, D. 1 2005 A symplectic Lanczos-type algorithm to compute the eigenvalues of positive definite Hamiltonian matrices. Zbl 1147.65305Amodio, Pierluigi 4 2003 Conservation properties of symmetric BVMs applied to linear Hamiltonian problems. Zbl 1056.65137Amodio, Pierluigi; Iavernaro, Felice; Trigiante, Donato 2 2002 Almost block diagonal linear systems: sequential and parallel solution techniques, and applications. Zbl 1051.65018Amodio, P.; Cash, J. R.; Roussos, G.; Wright, R. W.; Fairweather, G.; Gladwell, I.; Kraut, G. L.; Paprzycki, M. 17 2000 A new approach to backward error analysis of LU factorization. Zbl 0944.65026Amodio, P.; Mazzia, F. 7 1999 An algorithm for the computation of consistent initial values for differential-algebraic equations. Zbl 0917.65065Amodio, Pierluigi; Mazzia, Francesca 6 1998 ParalleloGAM: A parallel code for ODEs. Zbl 0927.65088Amodio, Pierluigi; Brugnano, Luigi 3 1998 Parallel implementation of block boundary value methods for ODEs. Zbl 0868.65039Amodio, Pierluigi; Brugnano, Luigi 22 1997 A note on the efficient implementation of implicit methods for ODEs. Zbl 0897.65052Amodio, Pierluigi; Brugnano, Luigi 12 1997 Numerical solution of differential algebraic equations and computation of consistent initial/boundary conditions. Zbl 0894.65031Amodio, Pierluigi; Mazzia, Francesca 11 1997 Parallel ODE solvers based on block BVMs. Zbl 0884.65074Amodio, Pierluigi; Brugnano, Luigi 9 1997 A cyclic reduction approach to the numerical solution of boundary value ODEs. Zbl 0949.65080Amodio, Pierluigi; Paprzycki, Marcin 6 1997 The conditioning of Toeplitz band matrices. Zbl 0858.65045Amodio, Pierluigi; Brugnano, Luigi 11 1996 Parallel iterative solvers for boundary value methods. Zbl 0855.65027Amodio, P.; Mazzia, F. 5 1996 Parallel block preconditioning for the solution of boundary value methods. Zbl 0859.65071Amodio, Pierluigi; Mazzia, Francesca 4 1996 Parallel solution of almost block diagonal systems on a hypercube. Zbl 0860.65066Amodio, P.; Paprzycki, M. 3 1996 A survey of parallel direct methods for block bidiagonal linear systems on distributed memory computers. Zbl 0866.65022Amodio, P.; Paprzycki, M.; Politi, T. 2 1996 Recent advances in the parallel solution to almost block diagonal systems. Zbl 0905.65042Amodio, P.; Paprzycki, M. 1 1996 Boundary value methods based on Adams-type methods. Zbl 0834.65065Amodio, P.; Mazzia, F. 21 1995 A boundary value approach to the numerical solution of initial value problems by multistep methods. Zbl 0861.65062Amodio, Pierluigi; Mazzia, Francesca 20 1995 Variable-step boundary value methods based on reverse Adams schemes and their grid redistribution. Zbl 0834.65064Amodio, P.; Golik, W. L.; Mazzia, F. 10 1995 A parallel Gauss-Seidel method for block tridiagonal linear systems. Zbl 0839.65042Amodio, Pierluigi; Mazzia, Francesca 9 1995 The parallel QR factorization algorithm for tridiagonal linear systems. Zbl 0875.68774Amodio, Pierluigi; Brugnano, Luigi 3 1995 Boundary value methods for the solution of differential-algebraic equations. Zbl 0791.65052Amodio, P.; Mazzia, F. 16 1994 Backward error analysis of cyclic reduction for the solution of tridiagonal systems. Zbl 0801.65022Amodio, Pierluigi; Mazzia, Francesca 6 1994 Stability of some boundary value methods for the solution of initial value problems. Zbl 0795.65041Amodio, P.; Mazzia, F.; Trigiante, D. 23 1993 Parallel factorizations for tridiagonal matrices. Zbl 0809.65015Amodio, P.; Brugnano, L.; Politi, T. 22 1993 A parallel direct method for solving initial value problems for ordinary differential equations. Zbl 0798.65078Amodio, P.; Trigiante, D. 7 1993 A parallel version of the cyclic reduction algorithm on a hypercube. Zbl 0806.65025Amodio, P.; Mastronardi, N. 6 1993 Optimized cyclic reduction for the solution of linear tridiagonal systems on parallel computers. Zbl 0776.65017Amodio, P. 4 1993 Parallel factorizations and parallel solvers for tridiagonal linear systems. Zbl 0756.65030Amodio, P.; Brugnano, L. 9 1992 all cited Publications top 5 cited Publications all top 5 Cited by 361 Authors 43 Amodio, Pierluigi 41 Brugnano, Luigi 24 Iavernaro, Felice 22 Mazzia, Francesca 14 Trigiante, Donato 11 Magherini, Cecilia 11 Simos, Theodore E. 10 Settanni, Giuseppina 9 Chen, Hao 9 Weinmüller, Ewa B. 9 Zhang, Chengjian 8 Jator, Samuel N. 8 Sergeev, Yaroslav Dmitrievich 8 Xu, Yang 8 Zhao, Jingjun 7 Anastassi, Zacharias A. 7 Sgura, Ivonne 6 Ghelardoni, Paolo 5 Aceto, Lidia 5 Biala, Toheeb A. 5 Fairweather, Graeme 5 Gerdt, Vladimir Petrovich 5 Ikhile, Monday Ndidi Oziegbe 5 Jiang, Yaolin 5 Ogunfeyitimi, S. E. 5 Ramos, Higinio 5 Vlachos, Dimitrios 4 Cococcioni, Marco 4 Frasca-Caccia, Gianluca 4 Huang, Ting-Zhu 4 Jiang, Xingzhou 4 Levitina, Tatiana V. 4 Marzulli, Pietro 4 Mukhametzhanov, Marat S. 4 Paprzycki, Marcin 3 Bozzini, Benedetto 3 De Leone, Renato 3 Fiaschi, Lorenzo 3 Giordano, Domenico 3 Jia, Jiteng 3 Koch, Othmar 3 Konguetsof, Avrilia 3 Lacitignola, Deborah 3 Li, Zhen 3 Liu, Zhongyun 3 Mohebbi, Akbar 3 Nwachukwu, Grace C. 3 Rufai, Mufutau Ajani 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 Fabien, Brian C. 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 Okor, T. 2 Okunuga, Solomon A. 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 Zhang, Xiaojing 2 Zhou, Yongtao 1 Abe, Sumiyoshi 1 Absil, Pierre-Antoine 1 Adeniyi, Raphael Babatunde 1 Adeyeye, F. J. ...and 261 more Authors all top 5 Cited in 86 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 12 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 International Journal of Applied and Computational Mathematics 4 Computer Physics Communications 4 Calcolo 4 Computational and Applied Mathematics 4 Soft Computing 4 Communications in Nonlinear Science and Numerical Simulation 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Applied Mathematical Modelling 3 SIAM Journal on Scientific Computing 2 Mathematics of Computation 2 Physica D 2 Journal of Scientific Computing 2 Advances in Computational Mathematics 2 Journal of Difference Equations and Applications 2 Mathematical Problems in Engineering 2 Mediterranean Journal of Mathematics 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 European Journal of Physics 1 International Journal of Mathematical Education in Science and Technology 1 Mathematical Methods in the Applied Sciences 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 Programming and Computer Software 1 SIAM Journal on Numerical Analysis 1 Theoretical Computer Science 1 Optimal Control Applications & Methods 1 Acta Applicandae Mathematicae 1 Journal of the Nigerian Mathematical Society 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 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 40 Fields 268 Numerical analysis (65-XX) 95 Ordinary differential equations (34-XX) 42 Partial differential equations (35-XX) 15 Dynamical systems and ergodic theory (37-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Fluid mechanics (76-XX) 12 Computer science (68-XX) 12 Quantum theory (81-XX) 10 Integral equations (45-XX) 8 Operations research, mathematical programming (90-XX) 6 Optics, electromagnetic theory (78-XX) 6 Systems theory; control (93-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Commutative algebra (13-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operator theory (47-XX) 3 Mechanics of particles and systems (70-XX) 2 Field theory and polynomials (12-XX) 2 Measure and integration (28-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-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