Edit Profile (opens in new tab) Paternoster, Beatrice Compute Distance To: Compute Author ID: paternoster.beatrice Published as: Paternoster, Beatrice; Paternoster, B.; Paternoster more...less Documents Indexed: 96 Publications since 1993 Co-Authors: 27 Co-Authors with 84 Joint Publications 346 Co-Co-Authors all top 5 Co-Authors 10 single-authored 50 D’Ambrosio, Raffaele 34 Conte, Dajana 11 Cardone, Angelamaria 8 Ixaru, Liviu Gr. 7 Ferro, Maria 6 Moccaldi, Martina 5 De Martino, Giuseppe 5 Esposito, Elena 5 Pagano, Giovanni 4 Jackiewicz, Zdzislaw 4 Shaikhet, Leonid Efimovich 3 Moradi, Leila 3 Santomauro, Giuseppe 2 Cafaro, Massimo 2 Crisci, Maria Rosaria 2 Martucci, Silvana 1 Burrage, Kevin 1 Capobianco, Giovanni 1 D’Arienzo, Maria Pia 1 Di Giovacchino, Stefano 1 Farsimadan, Eslam 1 Guarino, Nicola 1 Mohammadi, Fakhrodin 1 Palmieri, Francesco A. N. 1 Russo, Elvira 1 Sessa, Maria I. 1 Ventola, A. all top 5 Serials 13 Applied Numerical Mathematics 11 Journal of Computational and Applied Mathematics 5 Computer Physics Communications 5 Applied Mathematics Letters 5 Numerical Algorithms 5 Computational and Applied Mathematics 3 Computers & Mathematics with Applications 3 Applied Mathematics and Computation 3 Mathematics and Computers in Simulation 3 Communications in Nonlinear Science and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Mathematical Chemistry 2 Advances in Difference Equations 2 Axioms 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Ricerche di Matematica 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Computers and Artificial Intelligence 1 Journal of Symbolic Computation 1 Journal of Scientific Computing 1 Dynamic Systems and Applications 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 International Journal of Applied Mathematics 1 Mathematical Modelling and Analysis 1 International Journal of Computational and Numerical Analysis and Applications (IJCNAA) 1 Journal of Numerical Mathematics 1 International Journal of Mathematics and Computer Science 1 Rivista di Matematica della Università di Parma. New Series 1 Communications in Applied and Industrial Mathematics all top 5 Fields 90 Numerical analysis (65-XX) 34 Ordinary differential equations (34-XX) 16 Integral equations (45-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Probability theory and stochastic processes (60-XX) 6 Partial differential equations (35-XX) 4 Difference and functional equations (39-XX) 3 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 84 Publications have been cited 893 times in 355 Documents Cited by ▼ Year ▼ Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials. Zbl 0927.65097Paternoster, B. 88 1998 Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday. Zbl 1266.65029Paternoster, Beatrice 56 2012 Multistep collocation methods for Volterra integral equations. Zbl 1172.65069Conte, D.; Paternoster, B. 48 2009 A conditionally \(P\)-stable fourth-order exponential-fitting method for \(y''=f(x,y)\). Zbl 0934.65079Ixaru, L. Gr.; Paternoster, B. 47 1999 Two-step almost collocation methods for Volterra integral equations. Zbl 1160.65066Conte, D.; Jackiewicz, Z.; Paternoster, B. 31 2008 Numerical solution of time fractional diffusion systems. Zbl 1372.65228Burrage, Kevin; Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice 26 2017 Exponentially fitted two-step hybrid methods for \(y^{\prime\prime} = f(x,y)\). Zbl 1220.65088D’Ambrosio, R.; Esposito, E.; Paternoster, B. 25 2011 Two-step almost collocation methods for ordinary differential equations. Zbl 1186.65107D’Ambrosio, R.; Ferro, M.; Jackiewicz, Z.; Paternoster, B. 23 2010 Two-step hybrid collocation methods for \(y^{\prime\prime} = f(x,y)\). Zbl 1179.65103D’Ambrosio, R.; Ferro, M.; Paternoster, B. 22 2009 Trigonometrically fitted two-step hybrid methods for special second order ordinary differential equations. Zbl 1210.65133D’Ambrosio, R.; Ferro, M.; Paternoster, B. 21 2011 General linear methods for \(y^{\prime\prime} = f(y(t))\). Zbl 1275.65039D’Ambrosio, R.; Esposito, E.; Paternoster, B. 19 2012 Parameter estimation in exponentially fitted hybrid methods for second order differential problems. Zbl 1259.65111D’Ambrosio, Raffaele; Esposito, Elena; Paternoster, Beatrice 19 2012 A Gauss quadrature rule for oscillatory integrands. Zbl 0977.65019Ixaru, L. Gr.; Paternoster, B. 18 2001 Exponentially fitted two-step Runge-Kutta methods: construction and parameter selection. Zbl 1246.65110D’Ambrosio, Raffaele; Esposito, Elena; Paternoster, Beatrice 17 2012 Construction of the ef-based Runge-Kutta methods revisited. Zbl 1217.65146D’Ambrosio, R.; Ixaru, L. Gr.; Paternoster, B. 17 2011 Two-step diagonally-implicit collocation based methods for Volterra integral equations. Zbl 1251.65172Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 17 2012 Adapted numerical methods for advection-reaction-diffusion problems generating periodic wavefronts. Zbl 1448.65135D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice 17 2017 Numerical preservation of long-term dynamics by stochastic two-step methods. Zbl 1396.65011D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice 17 2018 Two-step modified collocation methods with structured coefficient matrices. Zbl 1251.65115D’Ambrosio, Raffaele; Paternoster, Beatrice 16 2012 On the stability of \(\vartheta\)-methods for stochastic Volterra integral equations. Zbl 1398.65348Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 16 2018 A spectral method for stochastic fractional differential equations. Zbl 1469.65026Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice 14 2019 About stability of nonlinear stochastic difference equations. Zbl 0959.60056Paternoster, B.; Shaikhet, L. 14 2000 Numerical solution of reaction-diffusion systems of \(\lambda\)-\(\omega\) type by trigonometrically fitted methods. Zbl 1327.65180D’Ambrosio, Raffaele; Paternoster, Beatrice 14 2016 Revised exponentially fitted Runge-Kutta-Nyström methods. Zbl 1311.65097D’Ambrosio, R.; Paternoster, B.; Santomauro, G. 14 2014 Numerical search for algebraically stable two-step almost collocation methods. Zbl 1255.65130Conte, Dajana; D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw; Paternoster, Beatrice 13 2013 Numerical integration of Hamiltonian problems by G-symplectic methods. Zbl 1301.65127D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice 13 2014 Exponential fitting direct quadrature methods for Volterra integral equations. Zbl 1207.65156Cardone, Angelamaria; Ixaru, Liviu Gr.; Paternoster, Beatrice 12 2010 A phase-fitted collocation-based Runge-Kutta-Nyström method. Zbl 0979.65063Paternoster, B. 12 2000 Exponentially fitted IMEX methods for advection-diffusion problems. Zbl 1375.65121Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice 11 2017 High order exponentially fitted methods for Volterra integral equations with periodic solution. Zbl 1357.65314Cardone, A.; D’Ambrosio, R.; Paternoster, B. 10 2017 Construction and implementation of two-step continuous methods for Volterra integral equations. Zbl 1368.65260Capobianco, Giovanni; Conte, Dajana; Paternoster, Beatrice 10 2017 Exponentially fitted singly diagonally implicit Runge-Kutta methods. Zbl 1301.65070D’Ambrosio, R.; Paternoster, B. 10 2014 A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods. Zbl 1246.65109Conte, Dajana; D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw; Paternoster, Beatrice 9 2012 A family of multistep collocation methods for Volterra integro-differential equations. Zbl 1182.65200Cardone, A.; Conte, D.; Paternoster, B. 9 2009 Some new uses of the \(\eta _m(Z)\) functions. Zbl 1205.65129Conte, D.; Esposito, E.; Paternoster, B.; Ixaru, L. Gr. 8 2010 Two-step collocation methods for fractional differential equations. Zbl 1398.65158Cardone, Angelamaria; Conte, Dajana; Paternoster, Beatrice 8 2018 A family of multistep collocation methods for Volterra integral equations. Zbl 1152.65319Conte, D.; Paternoster, B. 7 2007 Two step Runge-Kutta-Nyström methods for \(y'' = f(x,y)\) and P-stability. Zbl 1056.65071Paternoster, Beatrice 7 2002 Compuation of the interval of stability of Runge-Kutta-Nyström methods. Zbl 0908.65071Paternoster, B.; Cafaro, M. 6 1998 Exponentially fitted two-step peer methods for oscillatory problems. Zbl 1449.65150Conte, Dajana; Mohammadi, Fakhrodin; Moradi, Leila; Paternoster, Beatrice 6 2020 Stability regions of one step mixed collocation methods for \(y''=f(x,y)\). Zbl 1069.65092Carpentieri, M.; Paternoster, B. 6 2005 Modified Gauss-Laguerre exponential fitting based formulae. Zbl 1349.65098Conte, Dajana; Paternoster, Beatrice 6 2016 GPU-acceleration of waveform relaxation methods for large differential systems. Zbl 1333.65076Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 6 2016 Order conditions for general linear Nyström methods. Zbl 1291.65219D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice 6 2014 Adapted explicit two-step peer methods. Zbl 1476.65127Conte, Dajana; D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice 6 2019 Fully parallel Runge-Kutta-Nyström methods for ODEs with oscillating solutions. Zbl 0782.65090Crisci, M. R.; Paternoster, B.; Russo, E. 5 1993 Parallel methods for weakly singular Volterra integral equations on GPUs. Zbl 1357.65315Conte, Dajana; Paternoster, Beatrice 5 2017 \(P\)-stable general Nyström methods for \(y''=f(y(t))\). Zbl 1301.65057D’Ambrosio, Raffaele; Paternoster, Beatrice 5 2014 Exponentially-fitted Gauss-Laguerre quadrature rule for integrals over an unbounded interval. Zbl 1291.65071Conte, Dajana; Ixaru, Liviu Gr.; Paternoster, Beatrice; Santomauro, Giuseppe 5 2014 Collocation methods for Volterra integral and integro-differential equations: a review. Zbl 1432.65192Cardone, Angelamaria; Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 4 2018 Construction of nearly conservative multivalue numerical methods for Hamiltonian problems. Zbl 1329.65305D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice 4 2012 Collocation-based two step Runge-Kutta methods for ordinary differential equations. Zbl 1297.65081D’Ambrosio, R.; Ferro, M.; Paternoster, B. 4 2008 Stability of equilibrium points of fractional difference equations with stochastic perturbations. Zbl 1149.39007Paternoster, Beatrice; Shaikhet, Leonid 4 2008 Two step Runge-Kutta-Nyström methods for oscillatory problems based on mixed polynomials. Zbl 1147.65317Paternoster, Beatrice 4 2003 Stability issues for selected stochastic evolutionary problems: a review. Zbl 1432.65009Cardone, Angelamaria; Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 3 2018 Improved \(\vartheta\)-methods for stochastic Volterra integral equations. Zbl 1453.65016Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 3 2021 Multivalue collocation methods free from order reduction. Zbl 1458.65073D’Ambrosio, Raffaele; Paternoster, Beatrice 3 2021 Advances on collocation based numerical methods for ordinary differential equations and Volterra integral equations. Zbl 1216.65097Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 3 2011 A general family of two step collocation methods for ordinary differential equations. Zbl 1152.65320D’Ambrosio, R.; Ferro, M.; Paternoster, B. 3 2007 Two step Runge-Kutta-Nyström methods based on algebraic polynomials. Zbl 1061.65067Paternoster, B. 3 2003 General two-step Runge-Kutta methods based on algebraic and trigonometric polynomials. Zbl 1031.65085Paternoster, Beatrice 3 2001 General Nyström methods in Nordsieck form: error analysis. Zbl 1329.65150D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice 3 2016 Perturbative analysis of stochastic Hamiltonian problems under time discretizations. Zbl 1471.60083D’Ambrosio, R.; Giordano, G.; Paternoster, B.; Ventola, A. 3 2021 Runge-Kutta-Nyström stability for a class of general linear methods for \(y^{\prime\prime} = f(x,y)\). Zbl 1182.65128D’Ambrosio, R.; Paternoster, B. 3 2009 Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems. Zbl 1449.65149Conte, Dajana; D’Ambrosio, Raffaele; Pagano, Giovanni; Paternoster, Beatrice 2 2020 Parallel Runge-Kutta-Nyström methods. Zbl 0928.65087Crisci, Maria Rosaria; Paternoster, Beatrice 2 1998 Application of the general method of Lyapunov functionals construction for difference Volterra equations. Zbl 1069.39011Paternoster, B.; Shaikhet, L. 2 2004 Analysis of stability of rational approximations through computer algebra. Zbl 1072.65512Cafaro, Massimo; Paternoster, Beatrice 2 1999 Function fitting two-step BDF algorithms for ODEs. Zbl 1107.65060Ixaru, Liviu G.; Paternoster, Beatrice 2 2004 Parameter estimation in IMEX-trigonometrically fitted methods for the numerical solution of reaction-diffusion problems. Zbl 1498.65187D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice 2 2018 A general framework for the numerical solution of second order odes. Zbl 07313350D’Ambrosio, Raffaele; Paternoster, Beatrice 1 2015 Order bound for a family of parallel Runge-Kutta-Nyström methods through computer algebra. Zbl 0999.65068Paternoster, B. 1 1998 Mean square summability of solution of stochastic difference second-kind Volterra equation with small nonlinearity. Zbl 1149.39006Paternoster, Beatrice; Shaikhet, Leonid 1 2007 A general family of two step Runge-Kutta-Nyström methods for \(y^{\prime\prime} = f(x,y)\) based on algebraic polynomials. Zbl 1157.65420Paternoster, Beatrice 1 2006 Composite symplectic Runge-Kutta(-Nyström) methods. Zbl 0891.65084Paternoster, B. 1 1997 Vandermonde-type matrices in two step collocation methods for special second order ordinary differential equations. Zbl 1107.65066Martucci, Silvana; Paternoster, Beatrice 1 2004 On the advantages of nonstandard finite differences discretizations for differential problems. Zbl 07668677Conte, D.; Guarino, N.; Pagano, G.; Paternoster, B. 1 2022 Nonstandard finite differences numerical methods for a vegetation reaction-diffusion model. Zbl 1503.65167Conte, Dajana; Pagano, Giovanni; Paternoster, Beatrice 1 2023 Multivalue mixed collocation methods. Zbl 07424998Conte, Dajana; D’Ambrosio, Raffaele; D’Arienzo, Maria Pia; Paternoster, Beatrice 1 2021 Optimal control of system governed by nonlinear Volterra integral and fractional derivative equations. Zbl 1476.49011Moradi, Leila; Conte, Dajana; Farsimadan, Eslam; Palmieri, Francesco; Paternoster, Beatrice 1 2021 Two-step peer methods with equation-dependent coefficients. Zbl 1499.65272Conte, Dajana; Pagano, Giovanni; Paternoster, Beatrice 1 2022 Adapted numerical modeling for advection-reaction-diffusion problems on a bidimensional spatial domain. Zbl 1473.65100D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice 1 2021 Construction of diagonally implicit almost collocation methods for Volterra integral equations. Zbl 1238.65126Conte, D.; D’Ambrosio, R.; Paternoster, B. 1 2011 Adapted numerical modelling of the Belousov-Zhabotinsky reaction. Zbl 1406.92797D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice; Rossi, Federico 1 2018 Nonstandard finite differences numerical methods for a vegetation reaction-diffusion model. Zbl 1503.65167Conte, Dajana; Pagano, Giovanni; Paternoster, Beatrice 1 2023 On the advantages of nonstandard finite differences discretizations for differential problems. Zbl 07668677Conte, D.; Guarino, N.; Pagano, G.; Paternoster, B. 1 2022 Two-step peer methods with equation-dependent coefficients. Zbl 1499.65272Conte, Dajana; Pagano, Giovanni; Paternoster, Beatrice 1 2022 Improved \(\vartheta\)-methods for stochastic Volterra integral equations. Zbl 1453.65016Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 3 2021 Multivalue collocation methods free from order reduction. Zbl 1458.65073D’Ambrosio, Raffaele; Paternoster, Beatrice 3 2021 Perturbative analysis of stochastic Hamiltonian problems under time discretizations. Zbl 1471.60083D’Ambrosio, R.; Giordano, G.; Paternoster, B.; Ventola, A. 3 2021 Multivalue mixed collocation methods. Zbl 07424998Conte, Dajana; D’Ambrosio, Raffaele; D’Arienzo, Maria Pia; Paternoster, Beatrice 1 2021 Optimal control of system governed by nonlinear Volterra integral and fractional derivative equations. Zbl 1476.49011Moradi, Leila; Conte, Dajana; Farsimadan, Eslam; Palmieri, Francesco; Paternoster, Beatrice 1 2021 Adapted numerical modeling for advection-reaction-diffusion problems on a bidimensional spatial domain. Zbl 1473.65100D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice 1 2021 Exponentially fitted two-step peer methods for oscillatory problems. Zbl 1449.65150Conte, Dajana; Mohammadi, Fakhrodin; Moradi, Leila; Paternoster, Beatrice 6 2020 Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems. Zbl 1449.65149Conte, Dajana; D’Ambrosio, Raffaele; Pagano, Giovanni; Paternoster, Beatrice 2 2020 A spectral method for stochastic fractional differential equations. Zbl 1469.65026Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice 14 2019 Adapted explicit two-step peer methods. Zbl 1476.65127Conte, Dajana; D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice 6 2019 Numerical preservation of long-term dynamics by stochastic two-step methods. Zbl 1396.65011D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice 17 2018 On the stability of \(\vartheta\)-methods for stochastic Volterra integral equations. Zbl 1398.65348Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 16 2018 Two-step collocation methods for fractional differential equations. Zbl 1398.65158Cardone, Angelamaria; Conte, Dajana; Paternoster, Beatrice 8 2018 Collocation methods for Volterra integral and integro-differential equations: a review. Zbl 1432.65192Cardone, Angelamaria; Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 4 2018 Stability issues for selected stochastic evolutionary problems: a review. Zbl 1432.65009Cardone, Angelamaria; Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 3 2018 Parameter estimation in IMEX-trigonometrically fitted methods for the numerical solution of reaction-diffusion problems. Zbl 1498.65187D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice 2 2018 Adapted numerical modelling of the Belousov-Zhabotinsky reaction. Zbl 1406.92797D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice; Rossi, Federico 1 2018 Numerical solution of time fractional diffusion systems. Zbl 1372.65228Burrage, Kevin; Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice 26 2017 Adapted numerical methods for advection-reaction-diffusion problems generating periodic wavefronts. Zbl 1448.65135D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice 17 2017 Exponentially fitted IMEX methods for advection-diffusion problems. Zbl 1375.65121Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice 11 2017 High order exponentially fitted methods for Volterra integral equations with periodic solution. Zbl 1357.65314Cardone, A.; D’Ambrosio, R.; Paternoster, B. 10 2017 Construction and implementation of two-step continuous methods for Volterra integral equations. Zbl 1368.65260Capobianco, Giovanni; Conte, Dajana; Paternoster, Beatrice 10 2017 Parallel methods for weakly singular Volterra integral equations on GPUs. Zbl 1357.65315Conte, Dajana; Paternoster, Beatrice 5 2017 Numerical solution of reaction-diffusion systems of \(\lambda\)-\(\omega\) type by trigonometrically fitted methods. Zbl 1327.65180D’Ambrosio, Raffaele; Paternoster, Beatrice 14 2016 Modified Gauss-Laguerre exponential fitting based formulae. Zbl 1349.65098Conte, Dajana; Paternoster, Beatrice 6 2016 GPU-acceleration of waveform relaxation methods for large differential systems. Zbl 1333.65076Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 6 2016 General Nyström methods in Nordsieck form: error analysis. Zbl 1329.65150D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice 3 2016 A general framework for the numerical solution of second order odes. Zbl 07313350D’Ambrosio, Raffaele; Paternoster, Beatrice 1 2015 Revised exponentially fitted Runge-Kutta-Nyström methods. Zbl 1311.65097D’Ambrosio, R.; Paternoster, B.; Santomauro, G. 14 2014 Numerical integration of Hamiltonian problems by G-symplectic methods. Zbl 1301.65127D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice 13 2014 Exponentially fitted singly diagonally implicit Runge-Kutta methods. Zbl 1301.65070D’Ambrosio, R.; Paternoster, B. 10 2014 Order conditions for general linear Nyström methods. Zbl 1291.65219D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice 6 2014 \(P\)-stable general Nyström methods for \(y''=f(y(t))\). Zbl 1301.65057D’Ambrosio, Raffaele; Paternoster, Beatrice 5 2014 Exponentially-fitted Gauss-Laguerre quadrature rule for integrals over an unbounded interval. Zbl 1291.65071Conte, Dajana; Ixaru, Liviu Gr.; Paternoster, Beatrice; Santomauro, Giuseppe 5 2014 Numerical search for algebraically stable two-step almost collocation methods. Zbl 1255.65130Conte, Dajana; D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw; Paternoster, Beatrice 13 2013 Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday. Zbl 1266.65029Paternoster, Beatrice 56 2012 General linear methods for \(y^{\prime\prime} = f(y(t))\). Zbl 1275.65039D’Ambrosio, R.; Esposito, E.; Paternoster, B. 19 2012 Parameter estimation in exponentially fitted hybrid methods for second order differential problems. Zbl 1259.65111D’Ambrosio, Raffaele; Esposito, Elena; Paternoster, Beatrice 19 2012 Exponentially fitted two-step Runge-Kutta methods: construction and parameter selection. Zbl 1246.65110D’Ambrosio, Raffaele; Esposito, Elena; Paternoster, Beatrice 17 2012 Two-step diagonally-implicit collocation based methods for Volterra integral equations. Zbl 1251.65172Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 17 2012 Two-step modified collocation methods with structured coefficient matrices. Zbl 1251.65115D’Ambrosio, Raffaele; Paternoster, Beatrice 16 2012 A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods. Zbl 1246.65109Conte, Dajana; D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw; Paternoster, Beatrice 9 2012 Construction of nearly conservative multivalue numerical methods for Hamiltonian problems. Zbl 1329.65305D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice 4 2012 Exponentially fitted two-step hybrid methods for \(y^{\prime\prime} = f(x,y)\). Zbl 1220.65088D’Ambrosio, R.; Esposito, E.; Paternoster, B. 25 2011 Trigonometrically fitted two-step hybrid methods for special second order ordinary differential equations. Zbl 1210.65133D’Ambrosio, R.; Ferro, M.; Paternoster, B. 21 2011 Construction of the ef-based Runge-Kutta methods revisited. Zbl 1217.65146D’Ambrosio, R.; Ixaru, L. Gr.; Paternoster, B. 17 2011 Advances on collocation based numerical methods for ordinary differential equations and Volterra integral equations. Zbl 1216.65097Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 3 2011 Construction of diagonally implicit almost collocation methods for Volterra integral equations. Zbl 1238.65126Conte, D.; D’Ambrosio, R.; Paternoster, B. 1 2011 Two-step almost collocation methods for ordinary differential equations. Zbl 1186.65107D’Ambrosio, R.; Ferro, M.; Jackiewicz, Z.; Paternoster, B. 23 2010 Exponential fitting direct quadrature methods for Volterra integral equations. Zbl 1207.65156Cardone, Angelamaria; Ixaru, Liviu Gr.; Paternoster, Beatrice 12 2010 Some new uses of the \(\eta _m(Z)\) functions. Zbl 1205.65129Conte, D.; Esposito, E.; Paternoster, B.; Ixaru, L. Gr. 8 2010 Multistep collocation methods for Volterra integral equations. Zbl 1172.65069Conte, D.; Paternoster, B. 48 2009 Two-step hybrid collocation methods for \(y^{\prime\prime} = f(x,y)\). Zbl 1179.65103D’Ambrosio, R.; Ferro, M.; Paternoster, B. 22 2009 A family of multistep collocation methods for Volterra integro-differential equations. Zbl 1182.65200Cardone, A.; Conte, D.; Paternoster, B. 9 2009 Runge-Kutta-Nyström stability for a class of general linear methods for \(y^{\prime\prime} = f(x,y)\). Zbl 1182.65128D’Ambrosio, R.; Paternoster, B. 3 2009 Two-step almost collocation methods for Volterra integral equations. Zbl 1160.65066Conte, D.; Jackiewicz, Z.; Paternoster, B. 31 2008 Collocation-based two step Runge-Kutta methods for ordinary differential equations. Zbl 1297.65081D’Ambrosio, R.; Ferro, M.; Paternoster, B. 4 2008 Stability of equilibrium points of fractional difference equations with stochastic perturbations. Zbl 1149.39007Paternoster, Beatrice; Shaikhet, Leonid 4 2008 A family of multistep collocation methods for Volterra integral equations. Zbl 1152.65319Conte, D.; Paternoster, B. 7 2007 A general family of two step collocation methods for ordinary differential equations. Zbl 1152.65320D’Ambrosio, R.; Ferro, M.; Paternoster, B. 3 2007 Mean square summability of solution of stochastic difference second-kind Volterra equation with small nonlinearity. Zbl 1149.39006Paternoster, Beatrice; Shaikhet, Leonid 1 2007 A general family of two step Runge-Kutta-Nyström methods for \(y^{\prime\prime} = f(x,y)\) based on algebraic polynomials. Zbl 1157.65420Paternoster, Beatrice 1 2006 Stability regions of one step mixed collocation methods for \(y''=f(x,y)\). Zbl 1069.65092Carpentieri, M.; Paternoster, B. 6 2005 Application of the general method of Lyapunov functionals construction for difference Volterra equations. Zbl 1069.39011Paternoster, B.; Shaikhet, L. 2 2004 Function fitting two-step BDF algorithms for ODEs. Zbl 1107.65060Ixaru, Liviu G.; Paternoster, Beatrice 2 2004 Vandermonde-type matrices in two step collocation methods for special second order ordinary differential equations. Zbl 1107.65066Martucci, Silvana; Paternoster, Beatrice 1 2004 Two step Runge-Kutta-Nyström methods for oscillatory problems based on mixed polynomials. Zbl 1147.65317Paternoster, Beatrice 4 2003 Two step Runge-Kutta-Nyström methods based on algebraic polynomials. Zbl 1061.65067Paternoster, B. 3 2003 Two step Runge-Kutta-Nyström methods for \(y'' = f(x,y)\) and P-stability. Zbl 1056.65071Paternoster, Beatrice 7 2002 A Gauss quadrature rule for oscillatory integrands. Zbl 0977.65019Ixaru, L. Gr.; Paternoster, B. 18 2001 General two-step Runge-Kutta methods based on algebraic and trigonometric polynomials. Zbl 1031.65085Paternoster, Beatrice 3 2001 About stability of nonlinear stochastic difference equations. Zbl 0959.60056Paternoster, B.; Shaikhet, L. 14 2000 A phase-fitted collocation-based Runge-Kutta-Nyström method. Zbl 0979.65063Paternoster, B. 12 2000 A conditionally \(P\)-stable fourth-order exponential-fitting method for \(y''=f(x,y)\). Zbl 0934.65079Ixaru, L. Gr.; Paternoster, B. 47 1999 Analysis of stability of rational approximations through computer algebra. Zbl 1072.65512Cafaro, Massimo; Paternoster, Beatrice 2 1999 Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials. Zbl 0927.65097Paternoster, B. 88 1998 Compuation of the interval of stability of Runge-Kutta-Nyström methods. Zbl 0908.65071Paternoster, B.; Cafaro, M. 6 1998 Parallel Runge-Kutta-Nyström methods. Zbl 0928.65087Crisci, Maria Rosaria; Paternoster, Beatrice 2 1998 Order bound for a family of parallel Runge-Kutta-Nyström methods through computer algebra. Zbl 0999.65068Paternoster, B. 1 1998 Composite symplectic Runge-Kutta(-Nyström) methods. Zbl 0891.65084Paternoster, B. 1 1997 Fully parallel Runge-Kutta-Nyström methods for ODEs with oscillating solutions. Zbl 0782.65090Crisci, M. R.; Paternoster, B.; Russo, E. 5 1993 all cited Publications top 5 cited Publications all top 5 Cited by 321 Authors 58 Paternoster, Beatrice 48 D’Ambrosio, Raffaele 44 Simos, Theodore E. 29 Conte, Dajana 16 Franco, J. Méndez 15 You, Xiong 14 Cardone, Angelamaria 14 Lin, Chialiang 13 Fang, Yonglei 12 Jackiewicz, Zdzislaw 11 Li, Jiyong 11 Rández, Luis 11 Van de Vyver, Hans 10 Hojjati, Gholamreza 10 Jator, Samuel N. 8 Ixaru, Liviu Gr. 8 Shaikhet, Leonid Efimovich 8 Van Daele, Marnix 7 Abdi, Ali 7 Calvo, Manuel 7 Medvedev, Maxim A. 7 Medvedeva, Marina A. 7 Montijano, Juan Ignacio 6 Fazeli, Somayyeh 6 Yang, Yanping 5 Chen, Bingzhen 5 Huang, Chengming 5 Izzo, Giuseppe 5 Kim, Kyung Joong 5 Moccaldi, Martina 5 Okunuga, Solomon A. 5 Tian, Hongjiong 5 Vanden Berghe, Guido 5 Wu, Xinyuan 5 Zhai, Wenjuan 5 Zhao, Longbin 4 Chen, Zhaoxia 4 Citro, Vincenzo 4 De Martino, Giuseppe 4 Ehigie, Julius Osato 4 Esposito, Elena 4 Ismail, Fudziah Bt. 4 Pagano, Giovanni 4 Shahmorad, Sedaghat 4 Sidje, Roger B. 3 Anastassi, Zacharias A. 3 Darania, Parviz 3 Dehbozorgi, Raziyeh 3 Deng, Shuo 3 Di Giovacchino, Stefano 3 Ferro, Maria 3 Garrappa, Roberto 3 Hoang, Nguyen Si 3 Kalogiratou, Zacharoula 3 Li, Min 3 Ma, Junjie 3 Maleknejad, Khosrow 3 Moradi, Leila 3 Scalone, Carmela 3 Senu, Norazak 3 Suleiman, Mohamed Bin 3 Wang, Bin 3 Wang, Xianfen 3 Wang, Zenggui 3 Wen, Jiao 3 Zhang, Xiaoyong 2 Ahmad, Sufia Zulfa 2 Băleanu, Dumitru I. 2 Braś, Michał 2 Cong, Nguyen Huu 2 Cools, Ronald 2 De Meyer, Hans E. 2 Ding, Xiaohua 2 Fan, Qiongqi 2 Gao, Yachao 2 Hajipour, Mojtaba 2 Hosseini, Seyyed Ahmad 2 Jiang, Xiaoyun 2 Kadiev, Ramazan Ismailovich 2 Kolmanovskii, Vladimir Borisovich 2 Kosti, Athinoula A. 2 Liang, Hui 2 Liu, Ling 2 Liu, Zhongli 2 Luo, Jun 2 Ma, Yu-Yu 2 Milovanović, Gradimir V. 2 Ozawa, Kazufumi 2 Pishbin, Saeed 2 Ponosov, Arkadiĭ Vladimirovich 2 Santomauro, Giuseppe 2 Stanić, Marija P. 2 Sun, Bin 2 Wu, Jingwen 2 Wu, Kaining 2 Yang, Hongli 2 Zhang, Hui 2 Zhang, Ruqiang 2 Zhang, Tingting 2 Zhang, Wei ...and 221 more Authors all top 5 Cited in 66 Serials 54 Journal of Computational and Applied Mathematics 50 Applied Numerical Mathematics 44 Journal of Mathematical Chemistry 24 Applied Mathematics and Computation 23 Numerical Algorithms 17 Computational and Applied Mathematics 11 Computer Physics Communications 10 Mathematics and Computers in Simulation 8 Applied Mathematics Letters 7 Computers & Mathematics with Applications 7 Discrete Dynamics in Nature and Society 6 International Journal of Computer Mathematics 5 Communications in Nonlinear Science and Numerical Simulation 5 Advances in Difference Equations 4 BIT 4 Journal of Scientific Computing 4 Mediterranean Journal of Mathematics 3 Calcolo 3 Mathematical and Computer Modelling 3 Mathematical Problems in Engineering 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Applied Mathematics and Computing 2 Physica A 2 Japan Journal of Industrial and Applied Mathematics 2 Advances in Computational Mathematics 2 Discrete and Continuous Dynamical Systems 2 Abstract and Applied Analysis 2 Fractional Calculus & Applied Analysis 2 Mathematical Modelling and Analysis 2 Journal of Applied Mathematics 2 Afrika Matematika 2 Axioms 1 International Journal of Control 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Physics Reports 1 Mathematics of Computation 1 Acta Mathematica Vietnamica 1 International Journal of Mathematics and Mathematical Sciences 1 Stochastic Analysis and Applications 1 Bulletin of the Iranian Mathematical Society 1 Journal of the Nigerian Mathematical Society 1 SIAM Journal on Applied Mathematics 1 Journal of the Egyptian Mathematical Society 1 Fractals 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Applied Analysis 1 Journal of Inequalities and Applications 1 Communications of the Korean Mathematical Society 1 Lobachevskii Journal of Mathematics 1 Journal of Numerical Mathematics 1 International Journal of Computational Methods 1 Applications and Applied Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis and Mathematical Physics 1 Numerical Algebra, Control and Optimization 1 Journal of Computational Dynamics 1 East Asian Journal on Applied Mathematics 1 Mathematics 1 Journal of Function Spaces 1 Journal of Mathematical Modeling 1 Iranian Journal of Numerical Analysis and Optimization 1 International Journal of Applied and Computational Mathematics 1 Cogent Mathematics 1 Communications on Applied Mathematics and Computation 1 Electronic Research Archive all top 5 Cited in 29 Fields 323 Numerical analysis (65-XX) 89 Ordinary differential equations (34-XX) 62 Integral equations (45-XX) 30 Partial differential equations (35-XX) 24 Quantum theory (81-XX) 23 Probability theory and stochastic processes (60-XX) 21 Dynamical systems and ergodic theory (37-XX) 12 Approximations and expansions (41-XX) 11 Difference and functional equations (39-XX) 10 Real functions (26-XX) 9 Biology and other natural sciences (92-XX) 9 Systems theory; control (93-XX) 7 Mechanics of particles and systems (70-XX) 7 Fluid mechanics (76-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Classical thermodynamics, heat transfer (80-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Operator theory (47-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Special functions (33-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Citations by Year