PUBBLICAZIONI SCIENTIFICHE - SCIENTIFIC PUBLICATIONS

[84] L.Brugnano, F.Iavernaro, D.Trigiante.  A simple framework for the derivation and analysis of effective one-step methods for ODEs. Applied Mathematics and Computation (accepted). doi:10.1016/j.amc.2012.01.074  preprint

[83] L.Brugnano, F.Iavernaro. Recent Advances on Preserving Methods for General Conservative Systems. AIP Conference Proceedings 1389 (2011) 221-224.

[82] L.Brugnano, M.Calvo, I.J.Montijano, L.Randez. Recent Advances on Preserving Methods for Poisson Systems. AIP Conference Proceedings 1389 (2011) 229-232.

[81] L.Brugnano, A.Sestini. Iterative solution of piecewise linear systems for the numerical solution of obstacle problems. Journal of Numerical Analysis, Industrial and Applied Mathematics  (accepted). preprint

[80] L.Brugnano, F.Iavernaro, D.Trigiante. A note on the efficient implementation of Hamiltonian BVMs. Journal of Computational and Applied Mathematics 236 (2011) 375-383. preprint

[79] L.Brugnano, F.Iavernaro, D.Trigiante.  The Lack of Continuity and the Role of Infinite and Infinitesimal in Numerical Methods for ODEs: the Case of Symplecticity. Applied Mathematics and Computation (accepted). doi:10.1016/j.amc.2011.03.022  preprint

[78] L.Brugnano, C.Magherini, A.Sestini.  Calcolo Numerico, seconda edizione ampliata e corretta.  Master, Universita' & Professioni, Firenze, 2010 (158+x pp.). 

[77] L.Brugnano, F.Iavernaro, D.Trigiante. Numerical Solution of ODEs and the Columbus' Egg: Three Simple Ideas for Three Difficult Problems. Mathematics in Engineering, Science and Aerospace. 1,4 (2010) 407-426. preprint

[76] L.Brugnano, F.Iavernaro, D.Trigiante. Numerical comparisons among some methods for Hamiltonian problems . AIP Conf. Proc. 1281 (2010) 214-218. preprint

[75] L.Brugnano, F.Iavernaro, D.Trigiante. Energy and quadratic invariants preserving integrators of Gaussian type. AIP Conf. Proc. 1281 (2010) 227-230. preprint

[74] L.Brugnano, F.Iavernaro, T.Susca. Numerical comparisons between Gauss-Legendre methods and Hamiltonian BVMs defined over Gauss points. Monografias de la Real Acedemia de Ciencias de Zaragoza 33 (2010) 95-112. preprint 

[73] L.Brugnano, F.Iavernaro, D.Trigiante. Hamiltonian Boundary Value Methods (Energy Preserving Discrete Line Methods). Journal of Numerical Analysis, Industrial and Applied Mathematics 5,1-2 (2010) 17-37. preprint 

[72] P.Amodio, L.Brugnano. Parallel Factorizations in Numerical Analysis. Scalable Computing: Practice and Experience, 10, No.4 (2009) 385-396. preprint 

[71] L.Brugnano, F.Iavernaro, D.Trigiante. Analisys of Hamiltonian Boundary Value Methods (HBVMs) for the numerical solution of polynomial Hamiltonian dynamical systems. (2009). arXiv:0909.5659v1 

[70] L.Brugnano, F.Iavernaro, D.Trigiante. Hamiltonian BVMs (HBVMs): a family of  "drift-free" methods for integrating polynomial Hamiltonian systems. AIP Conf. Proc. 1168 (2009) 715-718. preprint 

[69] L.Brugnano, F.Iavernaro, T.Susca. Hamiltonian BVMs (HBVMs): implementation details and applications. AIP Conf. Proc. 1168 (2009) 723-726.  preprint 

[68] L.Brugnano, F.Mazzia, D.Trigiante. The role of the precise definition of Stiffness in designing codes for the solution of ODEs. AIP Conf. Proc. 1168 (2009) 731-734.  preprint 

[67] L.Brugnano, A.Sestini. A new approach based on Piecewise Linear Systems for the numerical solution of obstacle problems. AIP Conf. Proc. 1168 (2009) 746-749. preprint 

[66] L.Brugnano, F.Mazzia, D.Trigiante. Fifty Years of Stiffness.  In  Recent Advances in Computational and Applied Mathematics, Springer, 2011, pp. 1-21 (DOI: 10.1007/978-90-481-9981-5_1). preprint

[65] L.Brugnano, C.Magherini. Blended General Linear Methods based on Boundary Value Methods in the GBDF family. Journal of Numerical Analysis, Industrial and Applied Mathematics 4, 1-2 (2009) 23-40. preprint

[64] L.Brugnano, D.Trigiante. Energy drift in the numerical integration of Hamiltonian problems. Journal of Numerical Analysis, Industrial and Applied Mathematics 4, 3-4 (2009) 153-170. preprint

[63] L.Brugnano, V.Casulli. Iterative solution of piecewise linear systems and applications to flows in porous media. SIAM  Journal on Scientific Computing 31 (2009) 1858-1873. preprint

[62] P.Amodio, L.Brugnano. Recent Advances in the Parallel Solution in Time of ODEs. AIP Conf. Proc. 1048 (2008) 867-870. preprint

[61] L.Brugnano, C.Magherini. Blended General Linear Methods based on Generalized BDF. AIP Conf. Proc. 1048 (2008) 871-874. preprint

[60] L.Brugnano, V.Casulli. Iterative solution of piecewise linear systems. SIAM  Journal on Scientific Computing 30 (2008) 463-472. preprint

[59] P.Amodio, L.Brugnano. Parallel solution in time of ODEs: some achievements and perspectives. Applied Numerical Mathematics 59 (2009) 424-435. preprint

[58] L.Brugnano, C.Magherini. Recent Advances in Linear Analysis of Convergence for Splittings for Solving ODE problems. Applied Numerical Mathematics 59 (2009) 542-557. preprint

[57] L.Brugnano, D.Trigiante. Time reversal symmetry and energy drift in conservative systems. AIP Conf. Proc. 936 (2007) 600-602. 

[56] L.Brugnano, C.Magherini. Blended Implicit Methods for solving ODE and DAE problems, and their extension for second order problems. Jour. Comput. Appl. Mathematics 205 (2007) 777-790. preprint

[55] L.Brugnano, C.Magherini, A.Sestini.  Calcolo Numerico.  Master, Universita' & Professioni, Firenze, 2005 (138+x pp.).

[54] L.Brugnano, C.Magherini, F.Mugnai. Blended Implicit Methods for the Numerical Solution of DAE Problems. Jour. Comput. Appl. Mathematics  189 (2006) 34-50. preprint
[53] L.Brugnano, C.Magherini. Economical Error Estimates for Block Implicit Methods for ODEs via Deferred Correction. Applied Numerical Mathematics 56 (2006) 608-617. preprint
[52] L.Brugnano, F.Di Patti., G.Longo. An "Incremental" Mathematical Model for Immune Thrombocytopenic Purpura (ITP). Mathematical and Computer Modelling 42 (2005) 1299-1314. preprint

[51] L.Brugnano, K.Burrage, G.Carreras. On the Convergence of LMF-type Methods for SODEs. Mediterr. J. Math. 1 (2004) 297-313.

[50] A.Antoci, L.Brugnano, M.Galeotti. Sustainability, indeterminacy and oscillations in a growth model with environmental assets. Nonlinear Analysis: Real World Applications 5 (2004) 571-587.

[49] L.Brugnano, C.Magherini. Metodi Iterativi per Sistemi Lineari. Pitagora Editrice, Bologna, 2003 (140+viii pp.).

[48] L.Brugnano, C.Magherini. Some Linear Algebra Issues Concerning the Implementation of Blended Implicit Methods. Numer. Lin. Alg. Appl. 12 (2005) 305-314. 

[47] L.Brugnano, C.Magherini. The BiM Code for the Numerical Solution of ODEs, Jour. Comput. Appl. Mathematics  164–165 (2004) 145–158.

[46] L.Brugnano, C.Magherini. Blended Implementation of Block Implicit Methods for ODEs, Appl. Numer. Math. 42 (2002) 29-45.

[45] L.Aceto, P.Amodio, L.Brugnano, F.Iavernaro, F.Mazzia, D.Trigiante. Boundary Value Methods in Block Form: the State of the Art, Monografia n. 3 del Progetto ``Analisi Numerica: Metodi e Software Matematico'', Ferrara, 2000.

[44] L.Aceto, P.Amodio, L.Brugnano, F.Iavernaro, F.Mazzia, D.Trigiante. Study of Numerical Methods for Evolutionary Equations and Construction of the Corresponding Software for Sequential and Parallel Computers, Ann. Univ. Ferrara - Sez. VII - Sc. Mat., Supplemento al Vol. XLV (2000) 167-178.

[43] L.Brugnano, D.Trigiante. Block Implicit Methods for ODEs, in Recent Trends in Numerical Analysis, D.Trigiante ed., Nova Science Publ. Inc., New York, 2001, pp. 81-105. preprint

[42] L.Brugnano, K.Burrage, P.Burrage. Adams-Type Methods for the Numerical Solution of Stochastic Ordinary Differential Equations, BIT 40 (2000) 451-470.

[41] L.Brugnano. Blended Block BVMs (B3VMs): A Family of Economical Implicit Methods for ODEs, Journal of Computational and Applied Mathematics 116 (2000) 41-62.

[40] P.Amodio, L.Brugnano. ParalleloGAM: a Parallel Code for ODEs Applied Numerical Mathematics 28 (1998) 95-106.

[39] L.Brugnano, D.Trigiante. Parallel Implementation of Block Boundary Value Methods on Nonlinear Problems: Theoretical Results, Applied Numerical Mathematics 28 (1998) 127-141.

[38] L.Brugnano, D.Trigiante. Solving Differential Problems by Multistep Initial and Boundary Value Methods, Gordon and Breach Science Publ., Amsterdam, 1998 (418+xv pp.).

[37] L.Brugnano, D.Trigiante. Boundary Value Methods: the Third Way Between Linear Multistep and Runge-Kutta Methods, Computer and Mathematics with Applications 36, 10-12 (1998) 269-284.

[36] P.Amodio, L.Brugnano. A Note on the Efficient Implementation of Implicit Methods for ODEs, Journal of Computational and Applied Mathematics 87 (1997) 1-9.

[35] L.Brugnano, D.Trigiante. On the Potentiality of Sequential and Parallel Codes Based on Extended Trapezoidal Rules (ETRs), Applied Numerical Mathematics 25 (1997) 169-184.

[34] P.Amodio, L.Brugnano. Parallel ODE Solvers Based on Block BVMs, Advances in Computational Mathematics 7 (1997) 5-26.

[33] L.Brugnano. Is Symplecticness Sufficient for Approximating Hamiltonian Systems?, International Journal of Non-Linear Differential Equations, Theory - Methods and Applications 3,1-2 (1997) 39-48.

[32] L.Brugnano. Boundary Value Methods for the Numerical Approximation of Ordinary Differential Equations, Lecture Notes in Computer Science 1196 (1997) 78-89.

[31] P.Amodio, L.Brugnano. Parallel Implementation of Block Boundary Value Methods for ODEs, Journal of Computational and Applied Mathematics 78 (1997) 197-211.

[30] L.Brugnano, D.Trigiante. A New Mesh Selection Strategy for ODEs, Applied Numerical Mathematics 24 (1997) 1-21. paper

[29] L.Brugnano, D.Trigiante. Block Boundary Value Methods for Linear Hamiltonian Systems, Applied Mathematics and Computations 81 (1997) 49-68.

[28] L.Brugnano. Essentially Symplectic Boundary Value Methods for Linear Hamiltonian Systems, Journal of Computational Mathematics 15 (1997) 233-252.  paper

[27] L.Brugnano, D.Trigiante. On the Characterization of Stiffness for ODEs, Dynamics of Continuous, Discrete and Impulsive Systems 2 (1996) 317-336. paper

[26] P.Amodio, L.Brugnano. Stable Parallel Solvers for General Tridiagonal Linear Systems, ZAMM 76 (1996) S1 115-118. paper

[25] P.Amodio, L.Brugnano. The Conditioning of Toeplitz Banded Matrices, Mathematical and Computer Modelling 23(10) (1996) 29-42. paper

[24] L.Brugnano, D.Trigiante. Convergence and Stability of Boundary Value Methods for Ordinary Differential Equations, Journal of Computational and Applied Mathematics 66 (1996) 97-109.

[23] L.Brugnano. Errata, Journal of Difference Equations and Applications 2 (1996) 101.

[22] L.Brugnano, D.Trigiante. High Order Multistep Methods for Boundary Value Problems, Applied Numerical Mathematics 18 (1995) 79-94.

[21] L.Brugnano, D.Trigiante. Toeplitz Matrices and Difference Equations in Numerical Analysis, Proceedings of the First International Conference on Difference Equations, 25-28 May 1994, San Antonio, Texas, USA. Gordon & Breach Science Publishers, 1995, pp.79-94.

[20] P.Amodio, L.Brugnano. The Parallel QR Factorization Algorithm for Tridiagonal Linear Systems, Parallel Computing 21 (1995) 1097-1110.

[19] L.Brugnano. Numerical Implementation of a New Algorithm for Polynomials with Multiple Roots, Journal of Difference Equations and Applications 1 (1995) 187-207.

[18] L.Brugnano, D.Trigiante. Polynomial Roots: the Ultimate Answer?, Linear Algebra and its Applications 225 (1995) 207-219.

[17] L.Brugnano. D.Trigiante. A Parallel Preconditioning Technique for BVM Methods, Applied Numerical Mathematics 13 (1993) 277-290.

[16] L.Brugnano, D.Trigiante. Stability Properties of Some Boundary Value Methods, Applied Numerical Mathematics 13 (1993) 291-304.

[15] L.Brugnano, D.Trigiante. Tridiagonal Matrices and Numerical Solution of Ordinary Differential Equations, World Scientific Series In Applicable Analisys 2 (1993) 71-83.

[14] P.Amodio, L.Brugnano, T.Politi. Parallel Factorizations for Tridiagonal Matrices, SIAM Journal on Numerical Analysis 30 (1993) 813-823.

[13] L.Brugnano, F.Mazzia, D.Trigiante. Parallel Implementation of BVM Methods, Applied Numerical Mathematics 11 (1993) 115-124.

[12] P.Amodio, L.Brugnano. Parallel Factorizations and Parallel Solvers for Tridiagonal Linear Systems, Linear Algebra and its Applications 172 (1992) 347-364.

[11] L.Brugnano, D.Trigiante. Tridiagonal Matrices: Invertibility and Conditioning, Linear Algebra and its Applications 166 (1992) 131-150.

[10] L.Brugnano. Two-Level Twisted Preconditionings for Parallel Computers, Concurrency: Practice and Experience 4 (1992) 107-117.

[9] P.Amodio, L.Brugnano. Some Block Preconditionings for the Conjugate Gradient Method, in Parallel Computing: Problems, Methods and Applications, P.Messina and A.Murli Editors. Elsevier, 1992, pp.33-41.

[8] L.Brugnano, D.Trigiante. A ``Fully Parallel'' Preconditioned Conjugate Gradient Method for a Class of M-matrices, in Parallel Computing: Problems, Methods and Applications, P.Messina and A.Murli Editors. Elsevier, 1992, pp.109-116.

[7] L.Brugnano. Stability and Spectral Properties of Some Incomplete Block Factorizations, Calcolo 28 (1991) 1-20.

[6] P.Amodio, L.Brugnano. A Parallel Version of Some Block Preconditionings, Impact of Computing in Science and Engineering 3 (1991) 235-243.

[5] L.Brugnano. A Parallel Solver for Tridiagonal Linear Systems for Distributed Memory Parallel Computers, Parallel Computing 17 (1991) 1017-1023.

[4] L.Brugnano, D.Trigiante. A Full Parallel Preconditioner for a Class of M-matrices, Applied Mathematics Letters 4, 1 (1991) 13-15.

[3] L.Brugnano, M.Marrone. Vectorization of Some Block Preconditioned Conjugate Gradient Methods, Parallel Computing 14 (1990) 191-198.

[2] L.Brugnano. Parallelization of Some Block Preconditionings for a Quadputer, in Supercomputing Tools for Science and Engineering, a cura di D.Laforenza e R.Perego. Franco Angeli, 1990, pp.505-510.

[1] L.Brugnano, D.Trigiante. Sulle soluzioni di equazioni alle differenze dell' Algebra Lineare Numerica, Atti dell' Accademia delle Scienze dell' Istituto di Bologna, Classe Scienze Fisiche, Ser. V,  n. 4 (1990) 93-108. paper

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