Edit Profile (opens in new tab) D’Ambrosio, Raffaele Compute Distance To: Compute Author ID: dambrosio.raffaele Published as: D’Ambrosio, Raffaele; D’Ambrosio, R. Homepage: http://people.disim.univaq.it/~raffaele.dambrosio/ Documents Indexed: 77 Publications since 2007 Co-Authors: 26 Co-Authors with 74 Joint Publications 449 Co-Co-Authors all top 5 Co-Authors 3 single-authored 50 Paternoster, Beatrice 18 Conte, Dajana 10 Jackiewicz, Zdzislaw 7 Cardone, Angelamaria 7 Ferro, Maria 6 Di Giovacchino, Stefano 6 Moccaldi, Martina 5 De Martino, Giuseppe 4 Esposito, Elena 4 Izzo, Giuseppe 4 Scalone, Carmela 3 Citro, Vincenzo 2 Hairer, Ernst 1 Braś, Michał 1 Buckwar, Evelyn 1 Burrage, Kevin 1 Butcher, John C. 1 Chen, Chuchu 1 D’Arienzo, Maria Pia 1 Guglielmi, Nicola 1 Ixaru, Liviu Gr. 1 Lang, Annika 1 Pagano, Giovanni 1 Santomauro, Giuseppe 1 Ventola, A. 1 Zbinden, Christophe J. all top 5 Serials 11 Applied Numerical Mathematics 8 Journal of Computational and Applied Mathematics 7 Numerical Algorithms 5 Applied Mathematics Letters 3 Applied Mathematics and Computation 3 Mathematics and Computers in Simulation 3 Advances in Computational Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. Series B 2 Computers & Mathematics with Applications 2 Computer Physics Communications 2 Journal of Scientific Computing 2 Journal of Mathematical Chemistry 2 Mathematical Modelling and Analysis 2 Communications in Applied and Industrial Mathematics 2 Axioms 1 BIT 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Journal of Numerical Mathematics 1 International Journal of Mathematics and Computer Science 1 Rivista di Matematica della Università di Parma. New Series 1 Journal of Computational Dynamics 1 European Mathematical Society Magazine all top 5 Fields 77 Numerical analysis (65-XX) 24 Ordinary differential equations (34-XX) 16 Probability theory and stochastic processes (60-XX) 10 Integral equations (45-XX) 8 Dynamical systems and ergodic theory (37-XX) 5 Partial differential equations (35-XX) 1 General and overarching topics; collections (00-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 70 Publications have been cited 641 times in 229 Documents Cited by ▼ Year ▼ 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 Parameter estimation in exponentially fitted hybrid methods for second order differential problems. Zbl 1259.65111D’Ambrosio, Raffaele; Esposito, Elena; Paternoster, Beatrice 19 2012 Two-step Runge-Kutta methods with quadratic stability functions. Zbl 1203.65107Conte, D.; D’Ambrosio, R.; Jackiewicz, Z. 19 2010 Continuous two-step Runge-Kutta methods for ordinary differential equations. Zbl 1191.65092D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw 19 2010 General linear methods for \(y^{\prime\prime} = f(y(t))\). Zbl 1275.65039D’Ambrosio, R.; Esposito, E.; Paternoster, B. 19 2012 Construction of the ef-based Runge-Kutta methods revisited. Zbl 1217.65146D’Ambrosio, R.; Ixaru, L. Gr.; Paternoster, B. 17 2011 Numerical preservation of long-term dynamics by stochastic two-step methods. Zbl 1396.65011D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice 17 2018 Adapted numerical methods for advection-reaction-diffusion problems generating periodic wavefronts. Zbl 1448.65135D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice 17 2017 Exponentially fitted two-step Runge-Kutta methods: construction and parameter selection. Zbl 1246.65110D’Ambrosio, Raffaele; Esposito, Elena; Paternoster, Beatrice 17 2012 Construction and implementation of highly stable two-step continuous methods for stiff differential systems. Zbl 1220.65096D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw 17 2011 Two-step diagonally-implicit collocation based methods for Volterra integral equations. Zbl 1251.65172Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 17 2012 On the stability of \(\vartheta\)-methods for stochastic Volterra integral equations. Zbl 1398.65348Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 16 2018 Two-step modified collocation methods with structured coefficient matrices. Zbl 1251.65115D’Ambrosio, Raffaele; Paternoster, Beatrice 16 2012 Numerical solution of reaction-diffusion systems of \(\lambda\)-\(\omega\) type by trigonometrically fitted methods. Zbl 1327.65180D’Ambrosio, Raffaele; Paternoster, Beatrice 14 2016 Long-term stability of multi-value methods for ordinary differential equations. Zbl 1312.65111D’Ambrosio, R.; Hairer, E. 14 2014 A spectral method for stochastic fractional differential equations. Zbl 1469.65026Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice 14 2019 Revised exponentially fitted Runge-Kutta-Nyström methods. Zbl 1311.65097D’Ambrosio, R.; Paternoster, B.; Santomauro, G. 14 2014 Implementation of explicit Nordsieck methods with inherent quadratic stability. Zbl 1266.65122Braś, Michał; Cardone, Angelamaria; D’Ambrosio, Raffaele 14 2013 Drift-preserving numerical integrators for stochastic Hamiltonian systems. Zbl 07188447Chen, Chuchu; Cohen, David; D’Ambrosio, Raffaele; Lang, Annika 13 2020 G-symplecticity implies conjugate-symplecticity of the underlying one-step method. Zbl 1282.65168D’Ambrosio, R.; Hairer, E.; Zbinden, C. J. 13 2013 Numerical integration of Hamiltonian problems by G-symplectic methods. Zbl 1301.65127D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice 13 2014 Numerical search for algebraically stable two-step almost collocation methods. Zbl 1255.65130Conte, Dajana; D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw; Paternoster, Beatrice 13 2013 Natural Volterra Runge-Kutta methods. Zbl 1291.65377Conte, Dajana; D’Ambrosio, Raffaele; Izzo, Giuseppe; Jackiewicz, Zdzislaw 12 2014 Search for highly stable two-step Runge-Kutta methods. Zbl 1252.65119D’Ambrosio, R.; Izzo, G.; Jackiewicz, Z. 12 2012 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 Exponentially fitted singly diagonally implicit Runge-Kutta methods. Zbl 1301.65070D’Ambrosio, R.; Paternoster, B. 10 2014 Partitioned general linear methods for separable Hamiltonian problems. Zbl 1365.65272Butcher, John C.; D’Ambrosio, Raffaele 9 2017 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 Perturbed MEBDF methods. Zbl 1247.65091D’Ambrosio, Raffaele; Izzo, Giuseppe; Jackiewicz, Zdzislaw 8 2012 Long-term analysis of stochastic \(\theta\)-methods for damped stochastic oscillators. Zbl 1453.65015Citro, Vincenzo; D’Ambrosio, Raffaele 7 2020 On the numerical structure preservation of nonlinear damped stochastic oscillators. Zbl 1459.65008D’Ambrosio, Raffaele; Scalone, Carmela 6 2021 Nonlinear stability issues for stochastic Runge-Kutta methods. Zbl 1455.65014D’Ambrosio, Raffaele; Di Giovacchino, Stefano 6 2021 Order conditions for general linear Nyström methods. Zbl 1291.65219D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice 6 2014 A-stability preserving perturbation of Runge-Kutta methods for stochastic differential equations. Zbl 07206927Citro, Vincenzo; D’Ambrosio, Raffaele; Di Giovacchino, Stefano 6 2020 GPU-acceleration of waveform relaxation methods for large differential systems. Zbl 1333.65076Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 6 2016 Adapted explicit two-step peer methods. Zbl 1476.65127Conte, Dajana; D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice 6 2019 \(P\)-stable general Nyström methods for \(y''=f(y(t))\). Zbl 1301.65057D’Ambrosio, Raffaele; Paternoster, Beatrice 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 On the G-symplecticity of two-step Runge-Kutta methods. Zbl 1329.65149D’Ambrosio, Raffaele 4 2012 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 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 Improved \(\vartheta\)-methods for stochastic Volterra integral equations. Zbl 1453.65016Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 3 2021 Stability issues for selected stochastic evolutionary problems: a review. Zbl 1432.65009Cardone, Angelamaria; Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice 3 2018 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 Multivalue collocation methods free from order reduction. Zbl 1458.65073D’Ambrosio, Raffaele; Paternoster, Beatrice 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 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 contractivity of stochastic \(\vartheta\)-methods. Zbl 1464.65009D’Ambrosio, Raffaele; Di Giovacchino, Stefano 3 2021 Two-step Runge-Kutta methods for stochastic differential equations. Zbl 07423606D’Ambrosio, Raffaele; Scalone, Carmela 2 2021 Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems. Zbl 1449.65149Conte, Dajana; D’Ambrosio, Raffaele; Pagano, Giovanni; Paternoster, Beatrice 2 2020 Filon quadrature for stochastic oscillators driven by time-varying forces. Zbl 07379316D’Ambrosio, Raffaele; Scalone, Carmela 2 2021 Highly stable general linear methods for differential systems. Zbl 1179.65101D’Ambrosio, R.; Izzo, G.; Jackiewicz, Z. 2 2009 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 Nearly conservative multivalue methods with extended bounded parasitism. Zbl 1448.37104Citro, Vincenzo; D’Ambrosio, Raffaele 1 2020 A general framework for the numerical solution of second order odes. Zbl 07313350D’Ambrosio, Raffaele; Paternoster, Beatrice 1 2015 Numerical preservation issues in stochastic dynamical systems by \(\vartheta\)-methods. Zbl 1492.65020D’Ambrosio, Raffaele; Di Giovacchino, Stefano 1 2022 Adapted numerical modelling of the Belousov-Zhabotinsky reaction. Zbl 1406.92797D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice; Rossi, Federico 1 2018 Multivalue mixed collocation methods. Zbl 07424998Conte, Dajana; D’Ambrosio, Raffaele; D’Arienzo, Maria Pia; Paternoster, Beatrice 1 2021 Exponential mean-square stability properties of stochastic linear multistep methods. Zbl 1496.65007Buckwar, Evelyn; D’Ambrosio, Raffaele 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 Construction of diagonally implicit almost collocation methods for Volterra integral equations. Zbl 1238.65126Conte, D.; D’Ambrosio, R.; Paternoster, B. 1 2011 Multi-value numerical methods for Hamiltonian systems. Zbl 1328.65264D’Ambrosio, Raffaele 1 2015 Book review of: J. C. Butcher, B-series. Algebraic analysis of numerical methods. Zbl 07593314D’Ambrosio, Raffaele 1 2022 Numerical preservation issues in stochastic dynamical systems by \(\vartheta\)-methods. Zbl 1492.65020D’Ambrosio, Raffaele; Di Giovacchino, Stefano 1 2022 Book review of: J. C. Butcher, B-series. Algebraic analysis of numerical methods. Zbl 07593314D’Ambrosio, Raffaele 1 2022 On the numerical structure preservation of nonlinear damped stochastic oscillators. Zbl 1459.65008D’Ambrosio, Raffaele; Scalone, Carmela 6 2021 Nonlinear stability issues for stochastic Runge-Kutta methods. Zbl 1455.65014D’Ambrosio, Raffaele; Di Giovacchino, Stefano 6 2021 Improved \(\vartheta\)-methods for stochastic Volterra integral equations. Zbl 1453.65016Conte, Dajana; D’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 collocation methods free from order reduction. Zbl 1458.65073D’Ambrosio, Raffaele; Paternoster, Beatrice 3 2021 Mean-square contractivity of stochastic \(\vartheta\)-methods. Zbl 1464.65009D’Ambrosio, Raffaele; Di Giovacchino, Stefano 3 2021 Two-step Runge-Kutta methods for stochastic differential equations. Zbl 07423606D’Ambrosio, Raffaele; Scalone, Carmela 2 2021 Filon quadrature for stochastic oscillators driven by time-varying forces. Zbl 07379316D’Ambrosio, Raffaele; Scalone, Carmela 2 2021 Multivalue mixed collocation methods. Zbl 07424998Conte, Dajana; D’Ambrosio, Raffaele; D’Arienzo, Maria Pia; Paternoster, Beatrice 1 2021 Exponential mean-square stability properties of stochastic linear multistep methods. Zbl 1496.65007Buckwar, Evelyn; D’Ambrosio, Raffaele 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 Drift-preserving numerical integrators for stochastic Hamiltonian systems. Zbl 07188447Chen, Chuchu; Cohen, David; D’Ambrosio, Raffaele; Lang, Annika 13 2020 Long-term analysis of stochastic \(\theta\)-methods for damped stochastic oscillators. Zbl 1453.65015Citro, Vincenzo; D’Ambrosio, Raffaele 7 2020 A-stability preserving perturbation of Runge-Kutta methods for stochastic differential equations. Zbl 07206927Citro, Vincenzo; D’Ambrosio, Raffaele; Di Giovacchino, Stefano 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 Nearly conservative multivalue methods with extended bounded parasitism. Zbl 1448.37104Citro, Vincenzo; D’Ambrosio, Raffaele 1 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 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 Partitioned general linear methods for separable Hamiltonian problems. Zbl 1365.65272Butcher, John C.; D’Ambrosio, Raffaele 9 2017 Numerical solution of reaction-diffusion systems of \(\lambda\)-\(\omega\) type by trigonometrically fitted methods. Zbl 1327.65180D’Ambrosio, Raffaele; Paternoster, Beatrice 14 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 Multi-value numerical methods for Hamiltonian systems. Zbl 1328.65264D’Ambrosio, Raffaele 1 2015 Long-term stability of multi-value methods for ordinary differential equations. Zbl 1312.65111D’Ambrosio, R.; Hairer, E. 14 2014 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 Natural Volterra Runge-Kutta methods. Zbl 1291.65377Conte, Dajana; D’Ambrosio, Raffaele; Izzo, Giuseppe; Jackiewicz, Zdzislaw 12 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 Implementation of explicit Nordsieck methods with inherent quadratic stability. Zbl 1266.65122Braś, Michał; Cardone, Angelamaria; D’Ambrosio, Raffaele 14 2013 G-symplecticity implies conjugate-symplecticity of the underlying one-step method. Zbl 1282.65168D’Ambrosio, R.; Hairer, E.; Zbinden, C. J. 13 2013 Numerical search for algebraically stable two-step almost collocation methods. Zbl 1255.65130Conte, Dajana; D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw; Paternoster, Beatrice 13 2013 Parameter estimation in exponentially fitted hybrid methods for second order differential problems. Zbl 1259.65111D’Ambrosio, Raffaele; Esposito, Elena; Paternoster, Beatrice 19 2012 General linear methods for \(y^{\prime\prime} = f(y(t))\). Zbl 1275.65039D’Ambrosio, R.; Esposito, E.; Paternoster, B. 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 Search for highly stable two-step Runge-Kutta methods. Zbl 1252.65119D’Ambrosio, R.; Izzo, G.; Jackiewicz, Z. 12 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 Perturbed MEBDF methods. Zbl 1247.65091D’Ambrosio, Raffaele; Izzo, Giuseppe; Jackiewicz, Zdzislaw 8 2012 On the G-symplecticity of two-step Runge-Kutta methods. Zbl 1329.65149D’Ambrosio, Raffaele 4 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 Construction and implementation of highly stable two-step continuous methods for stiff differential systems. Zbl 1220.65096D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw 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 Two-step Runge-Kutta methods with quadratic stability functions. Zbl 1203.65107Conte, D.; D’Ambrosio, R.; Jackiewicz, Z. 19 2010 Continuous two-step Runge-Kutta methods for ordinary differential equations. Zbl 1191.65092D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw 19 2010 Two-step hybrid collocation methods for \(y^{\prime\prime} = f(x,y)\). Zbl 1179.65103D’Ambrosio, R.; Ferro, M.; Paternoster, B. 22 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 Highly stable general linear methods for differential systems. Zbl 1179.65101D’Ambrosio, R.; Izzo, G.; Jackiewicz, Z. 2 2009 Collocation-based two step Runge-Kutta methods for ordinary differential equations. Zbl 1297.65081D’Ambrosio, R.; Ferro, M.; Paternoster, B. 4 2008 A general family of two step collocation methods for ordinary differential equations. Zbl 1152.65320D’Ambrosio, R.; Ferro, M.; Paternoster, B. 3 2007 all cited Publications top 5 cited Publications all top 5 Cited by 242 Authors 52 D’Ambrosio, Raffaele 49 Paternoster, Beatrice 29 Conte, Dajana 25 Jackiewicz, Zdzislaw 19 Cardone, Angelamaria 13 Abdi, Ali 13 Hojjati, Gholamreza 11 Izzo, Giuseppe 9 Jator, Samuel N. 9 Li, Jiyong 7 Braś, Michał 7 Fang, Yonglei 7 You, Xiong 5 Di Giovacchino, Stefano 5 Yang, Yanping 4 Citro, Vincenzo 4 De Martino, Giuseppe 4 Esposito, Elena 4 Huang, Chengming 4 Moccaldi, Martina 4 Pagano, Giovanni 4 Scalone, Carmela 4 Simos, Theodore E. 4 Zhao, Longbin 3 Butcher, John C. 3 Deng, Shuo 3 Fazeli, Somayyeh 3 Franco, J. Méndez 3 Habib, Yousaf 3 Ismail, Fudziah Bt. 3 Ixaru, Liviu Gr. 3 Li, Min 3 Moradi, Leila 3 Norton, Terence J. T. 3 Rández, Luis 3 Sandu, Adrian 3 Suleiman, Mohamed Bin 3 Tian, Hongjiong 3 Wang, Bin 3 Wang, Xianfen 3 Wen, Jiao 3 Zhang, Hong 2 Ahmad, Sufia Zulfa 2 Băleanu, Dumitru I. 2 Califano, Giovanna 2 Fan, Qiongqi 2 Ferro, Maria 2 Hajipour, Mojtaba 2 Hill, Adrian T. 2 Hosseini, Seyyed Ahmad 2 Jiang, Xiaoyun 2 Liu, Zhongli 2 Nasab, Masoumeh Hosseini 2 Nguyen-Ba, Truong 2 Okuonghae, Robert I. 2 Podhaisky, Helmut 2 Santomauro, Giuseppe 2 Senu, Norazak 2 Van Daele, Marnix 2 Welfert, Bruno D. 2 Zhang, Hui 2 Zhang, Wei 1 Abbasbandy, Saeid 1 Abdelhakem, Mohamed 1 Abdelhamied, Dina 1 Abedini, Nazanin 1 Aceto, Lidia 1 Ahmad, Junaid 1 Aiguobasimwin, I. B. 1 Akinfenwa, A. O. 1 Ali, Ishtiaq 1 Ali, Mushtaq 1 Almasoodi, A. Y. J. 1 Alshehri, Maryam Gharamah Ali 1 Anastassi, Zacharias A. 1 Arif, Azqa 1 Avazzadeh, Zakieh 1 Azarnavid, Babak 1 Bartoszewski, Zbigniew 1 Behzad, Batoul 1 Berardi, Marco 1 Berrut, Jean-Paul 1 Bréhier, Charles-Edouard 1 Buckwar, Evelyn 1 Burrage, Kevin 1 Caccia, Gianluca Frasca 1 Caira, Rosanna 1 Calvo, Manuel 1 Cao, Wanrong 1 Capobianco, Giovanni 1 Chakravarty, Uttam K. 1 Chang, Der-Chen E. 1 Chang, Shuenn-Yih 1 Chen, Zhaoxia 1 Chiapparelli, C. 1 Costabile, Francesco Aldo 1 D’Arienzo, Maria Pia 1 De Luca, Pasquale 1 Diao, Dongxu 1 Diele, Fasma ...and 142 more Authors all top 5 Cited in 58 Serials 41 Applied Numerical Mathematics 33 Journal of Computational and Applied Mathematics 19 Numerical Algorithms 17 Applied Mathematics and Computation 10 Computational and Applied Mathematics 8 Mathematics and Computers in Simulation 8 Communications in Nonlinear Science and Numerical Simulation 6 International Journal of Computer Mathematics 6 Journal of Mathematical Chemistry 5 Applied Mathematics Letters 4 BIT 4 Mathematical Modelling and Analysis 3 Advances in Computational Mathematics 3 Discrete Dynamics in Nature and Society 3 Discrete and Continuous Dynamical Systems. Series B 2 Computers & Mathematics with Applications 2 Journal of Computational Physics 2 Physica A 2 Calcolo 2 Bulletin of the Iranian Mathematical Society 2 Journal of Scientific Computing 2 Discrete and Continuous Dynamical Systems 2 Mathematical Problems in Engineering 2 Fractional Calculus & Applied Analysis 2 Journal of Applied Mathematics and Computing 2 International Journal of Computational Methods 2 Mediterranean Journal of Mathematics 2 Axioms 2 Journal of Computational Dynamics 1 Computer Physics Communications 1 Mathematics of Computation 1 International Journal of Mathematics and Mathematical Sciences 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Scientific Computing 1 Journal of the Egyptian Mathematical Society 1 Fractals 1 ETNA. Electronic Transactions on Numerical Analysis 1 Abstract and Applied Analysis 1 Communications of the Korean Mathematical Society 1 Lobachevskii Journal of Mathematics 1 The ANZIAM Journal 1 Journal of Applied Mathematics 1 Journal of Numerical Mathematics 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 Applications and Applied Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Symmetry 1 Analysis and Mathematical Physics 1 Afrika Matematika 1 Journal of Modern Methods in Numerical Mathematics 1 Mathematics 1 Journal of Mathematical Modeling 1 International Journal of Applied and Computational Mathematics 1 Cogent Mathematics 1 Communications on Applied Mathematics and Computation 1 Electronic Research Archive 1 European Mathematical Society Magazine all top 5 Cited in 26 Fields 218 Numerical analysis (65-XX) 59 Ordinary differential equations (34-XX) 37 Integral equations (45-XX) 25 Probability theory and stochastic processes (60-XX) 23 Partial differential equations (35-XX) 14 Dynamical systems and ergodic theory (37-XX) 10 Real functions (26-XX) 5 Fluid mechanics (76-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Citations by Year