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D’Ambrosio, Raffaele

Author ID: dambrosio.raffaele Recent zbMATH articles by "D’Ambrosio, Raffaele"
Published as: D’Ambrosio, Raffaele; D’Ambrosio, R.
Homepage: http://people.disim.univaq.it/~raffaele.dambrosio/
Documents Indexed: 87 Publications since 2007, including 1 Book and 1 Additional arXiv Preprint
Co-Authors: 30 Co-Authors with 83 Joint Publications
510 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

78 Publications have been cited 839 times in 287 Documents Cited by Year
Exponentially fitted two-step hybrid methods for \(y^{\prime\prime} = f(x,y)\). Zbl 1220.65088
D’Ambrosio, R.; Esposito, E.; Paternoster, B.
30
2011
Numerical solution of time fractional diffusion systems. Zbl 1372.65228
Burrage, Kevin; Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice
28
2017
Two-step hybrid collocation methods for \(y^{\prime\prime} = f(x,y)\). Zbl 1179.65103
D’Ambrosio, R.; Ferro, M.; Paternoster, B.
26
2009
Two-step almost collocation methods for ordinary differential equations. Zbl 1186.65107
D’Ambrosio, R.; Ferro, M.; Jackiewicz, Z.; Paternoster, B.
25
2010
Trigonometrically fitted two-step hybrid methods for special second order ordinary differential equations. Zbl 1210.65133
D’Ambrosio, R.; Ferro, M.; Paternoster, B.
24
2011
Drift-preserving numerical integrators for stochastic Hamiltonian systems. Zbl 07188447
Chen, Chuchu; Cohen, David; D’Ambrosio, Raffaele; Lang, Annika
24
2020
Parameter estimation in exponentially fitted hybrid methods for second order differential problems. Zbl 1259.65111
D’Ambrosio, Raffaele; Esposito, Elena; Paternoster, Beatrice
23
2012
General linear methods for \(y^{\prime\prime} = f(y(t))\). Zbl 1275.65039
D’Ambrosio, R.; Esposito, E.; Paternoster, B.
23
2012
Exponentially fitted two-step Runge-Kutta methods: construction and parameter selection. Zbl 1246.65110
D’Ambrosio, Raffaele; Esposito, Elena; Paternoster, Beatrice
22
2012
On the stability of \(\vartheta\)-methods for stochastic Volterra integral equations. Zbl 1398.65348
Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice
21
2018
Adapted numerical methods for advection-reaction-diffusion problems generating periodic wavefronts. Zbl 1448.65135
D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice
21
2017
Continuous two-step Runge-Kutta methods for ordinary differential equations. Zbl 1191.65092
D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw
21
2010
Construction of the ef-based Runge-Kutta methods revisited. Zbl 1217.65146
D’Ambrosio, R.; Ixaru, L. Gr.; Paternoster, B.
21
2011
Numerical preservation of long-term dynamics by stochastic two-step methods. Zbl 1396.65011
D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice
20
2018
Two-step diagonally-implicit collocation based methods for Volterra integral equations. Zbl 1251.65172
Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice
20
2012
Long-term stability of multi-value methods for ordinary differential equations. Zbl 1312.65111
D’Ambrosio, R.; Hairer, E.
19
2014
Two-step Runge-Kutta methods with quadratic stability functions. Zbl 1203.65107
Conte, D.; D’Ambrosio, R.; Jackiewicz, Z.
19
2010
Two-step modified collocation methods with structured coefficient matrices. Zbl 1251.65115
D’Ambrosio, Raffaele; Paternoster, Beatrice
18
2012
Construction and implementation of highly stable two-step continuous methods for stiff differential systems. Zbl 1220.65096
D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw
18
2011
Revised exponentially fitted Runge-Kutta-Nyström methods. Zbl 1311.65097
D’Ambrosio, R.; Paternoster, B.; Santomauro, G.
18
2014
Numerical integration of Hamiltonian problems by G-symplectic methods. Zbl 1301.65127
D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice
16
2014
Implementation of explicit Nordsieck methods with inherent quadratic stability. Zbl 1266.65122
Braś, Michał; Cardone, Angelamaria; D’Ambrosio, Raffaele
16
2013
A spectral method for stochastic fractional differential equations. Zbl 1469.65026
Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice
15
2019
Numerical solution of reaction-diffusion systems of \(\lambda\)-\(\omega\) type by trigonometrically fitted methods. Zbl 1327.65180
D’Ambrosio, Raffaele; Paternoster, Beatrice
14
2016
G-symplecticity implies conjugate-symplecticity of the underlying one-step method. Zbl 1282.65168
D’Ambrosio, R.; Hairer, E.; Zbinden, C. J.
14
2013
Exponentially fitted IMEX methods for advection-diffusion problems. Zbl 1375.65121
Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice
14
2017
Natural Volterra Runge-Kutta methods. Zbl 1291.65377
Conte, Dajana; D’Ambrosio, Raffaele; Izzo, Giuseppe; Jackiewicz, Zdzislaw
14
2014
Search for highly stable two-step Runge-Kutta methods. Zbl 1252.65119
D’Ambrosio, R.; Izzo, G.; Jackiewicz, Z.
14
2012
Numerical search for algebraically stable two-step almost collocation methods. Zbl 1255.65130
Conte, Dajana; D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw; Paternoster, Beatrice
14
2013
On the numerical structure preservation of nonlinear damped stochastic oscillators. Zbl 1459.65008
D’Ambrosio, Raffaele; Scalone, Carmela
14
2021
Long-term analysis of stochastic \(\theta\)-methods for damped stochastic oscillators. Zbl 1453.65015
Citro, Vincenzo; D’Ambrosio, Raffaele
14
2020
High order exponentially fitted methods for Volterra integral equations with periodic solution. Zbl 1357.65314
Cardone, A.; D’Ambrosio, R.; Paternoster, B.
13
2017
Exponentially fitted singly diagonally implicit Runge-Kutta methods. Zbl 1301.65070
D’Ambrosio, R.; Paternoster, B.
13
2014
Partitioned general linear methods for separable Hamiltonian problems. Zbl 1365.65272
Butcher, John C.; D’Ambrosio, Raffaele
11
2017
Adapted explicit two-step peer methods. Zbl 1476.65127
Conte, Dajana; D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice
10
2019
Nonlinear stability issues for stochastic Runge-Kutta methods. Zbl 1455.65014
D’Ambrosio, Raffaele; Di Giovacchino, Stefano
10
2021
A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods. Zbl 1246.65109
Conte, Dajana; D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw; Paternoster, Beatrice
9
2012
Perturbed MEBDF methods. Zbl 1247.65091
D’Ambrosio, Raffaele; Izzo, Giuseppe; Jackiewicz, Zdzislaw
9
2012
Collocation methods for Volterra integral and integro-differential equations: a review. Zbl 1432.65192
Cardone, Angelamaria; Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice
9
2018
Mean-square contractivity of stochastic \(\vartheta\)-methods. Zbl 1464.65009
D’Ambrosio, Raffaele; Di Giovacchino, Stefano
9
2021
Exponential mean-square stability properties of stochastic linear multistep methods. Zbl 1496.65007
Buckwar, Evelyn; D’Ambrosio, Raffaele
8
2021
GPU-acceleration of waveform relaxation methods for large differential systems. Zbl 1333.65076
Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice
7
2016
Order conditions for general linear Nyström methods. Zbl 1291.65219
D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice
7
2014
Stability issues for selected stochastic evolutionary problems: a review. Zbl 1432.65009
Cardone, Angelamaria; Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice
7
2018
A-stability preserving perturbation of Runge-Kutta methods for stochastic differential equations. Zbl 1524.65027
Citro, Vincenzo; D’Ambrosio, Raffaele; Di Giovacchino, Stefano
7
2020
\(P\)-stable general Nyström methods for \(y''=f(y(t))\). Zbl 1301.65057
D’Ambrosio, Raffaele; Paternoster, Beatrice
6
2014
Filon quadrature for stochastic oscillators driven by time-varying forces. Zbl 07379316
D’Ambrosio, Raffaele; Scalone, Carmela
6
2021
Two-step Runge-Kutta methods for stochastic differential equations. Zbl 1510.65013
D’Ambrosio, Raffaele; Scalone, Carmela
6
2021
Improved \(\vartheta\)-methods for stochastic Volterra integral equations. Zbl 1453.65016
Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice
6
2021
Construction of nearly conservative multivalue numerical methods for Hamiltonian problems. Zbl 1329.65305
D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice
5
2012
On the G-symplecticity of two-step Runge-Kutta methods. Zbl 1329.65149
D’Ambrosio, Raffaele
5
2012
Parameter estimation in IMEX-trigonometrically fitted methods for the numerical solution of reaction-diffusion problems. Zbl 1498.65187
D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice
5
2018
Long-term analysis of stochastic Hamiltonian systems under time discretizations. Zbl 1512.65014
D’Ambrosio, Raffaele; Di Giovacchino, Stefano
5
2023
Perturbative analysis of stochastic Hamiltonian problems under time discretizations. Zbl 1471.60083
D’Ambrosio, R.; Giordano, G.; Paternoster, B.; Ventola, A.
5
2021
General Nyström methods in Nordsieck form: error analysis. Zbl 1329.65150
D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice
4
2016
Numerical preservation issues in stochastic dynamical systems by \(\vartheta\)-methods. Zbl 1492.65020
D’Ambrosio, Raffaele; Di Giovacchino, Stefano
4
2022
Collocation-based two step Runge-Kutta methods for ordinary differential equations. Zbl 1297.65081
D’Ambrosio, R.; Ferro, M.; Paternoster, B.
4
2008
Multivalue collocation methods free from order reduction. Zbl 1458.65073
D’Ambrosio, Raffaele; Paternoster, Beatrice
4
2021
A general framework for the numerical solution of second order odes. Zbl 07313350
D’Ambrosio, Raffaele; Paternoster, Beatrice
4
2015
Numerical approximation of ordinary differential problems. From deterministic to stochastic numerical methods. Zbl 07730913
D’Ambrosio, Raffaele
3
2023
Adapted numerical modelling of the Belousov-Zhabotinsky reaction. Zbl 1406.92797
D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice; Rossi, Federico
3
2018
Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems. Zbl 1449.65149
Conte, Dajana; D’Ambrosio, Raffaele; Pagano, Giovanni; Paternoster, Beatrice
3
2020
Destabilising nonnormal stochastic differential equations. Zbl 1515.65024
D’Ambrosio, Raffaele; Guglielmi, Nicola; Scalone, Carmela
3
2023
On the conservative character of discretizations to Itô-Hamiltonian systems with small noise. Zbl 1524.65029
D’Ambrosio, R.; Di Giovacchino, S.; Giordano, G.; Paternoster, B.
3
2023
Runge-Kutta-Nyström stability for a class of general linear methods for \(y^{\prime\prime} = f(x,y)\). Zbl 1182.65128
D’Ambrosio, R.; Paternoster, B.
3
2009
Advances on collocation based numerical methods for ordinary differential equations and Volterra integral equations. Zbl 1216.65097
Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice
3
2011
Numerical conservation issues for the stochastic Korteweg-de Vries equation. Zbl 07697399
D’Ambrosio, Raffaele; Di Giovacchino, Stefano
3
2023
A general family of two step collocation methods for ordinary differential equations. Zbl 1152.65320
D’Ambrosio, R.; Ferro, M.; Paternoster, B.
3
2007
A long term analysis of stochastic theta methods for mean reverting linear process with jumps. Zbl 07699022
D’Ambrosio, Raffaele; Moradi, Afsaneh; Scalone, Carmela
3
2023
Highly stable general linear methods for differential systems. Zbl 1179.65101
D’Ambrosio, R.; Izzo, G.; Jackiewicz, Z.
2
2009
Multivalue mixed collocation methods. Zbl 1510.65169
Conte, Dajana; D’Ambrosio, Raffaele; D’Arienzo, Maria Pia; Paternoster, Beatrice
2
2021
Adapted numerical modeling for advection-reaction-diffusion problems on a bidimensional spatial domain. Zbl 1473.65100
D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice
1
2021
Construction of diagonally implicit almost collocation methods for Volterra integral equations. Zbl 1238.65126
Conte, D.; D’Ambrosio, R.; Paternoster, B.
1
2011
Multivalue second derivative collocation methods. Zbl 1506.65118
Abdi, A.; Conte, D.; D’Ambrosio, R.; Paternoster, B.
1
2022
Book review of: J. C. Butcher, B-series. Algebraic analysis of numerical methods. Zbl 07593314
D’Ambrosio, Raffaele
1
2022
How do Monte Carlo estimates affect stochastic geometric numerical integration? Zbl 1524.65028
D’Ambrosio, Raffaele; Di Giovacchino, Stefano
1
2023
Nearly conservative multivalue methods with extended bounded parasitism. Zbl 1448.37104
Citro, Vincenzo; D’Ambrosio, Raffaele
1
2020
Multi-value numerical methods for Hamiltonian systems. Zbl 1328.65264
D’Ambrosio, Raffaele
1
2015
Long-term analysis of stochastic Hamiltonian systems under time discretizations. Zbl 1512.65014
D’Ambrosio, Raffaele; Di Giovacchino, Stefano
5
2023
Numerical approximation of ordinary differential problems. From deterministic to stochastic numerical methods. Zbl 07730913
D’Ambrosio, Raffaele
3
2023
Destabilising nonnormal stochastic differential equations. Zbl 1515.65024
D’Ambrosio, Raffaele; Guglielmi, Nicola; Scalone, Carmela
3
2023
On the conservative character of discretizations to Itô-Hamiltonian systems with small noise. Zbl 1524.65029
D’Ambrosio, R.; Di Giovacchino, S.; Giordano, G.; Paternoster, B.
3
2023
Numerical conservation issues for the stochastic Korteweg-de Vries equation. Zbl 07697399
D’Ambrosio, Raffaele; Di Giovacchino, Stefano
3
2023
A long term analysis of stochastic theta methods for mean reverting linear process with jumps. Zbl 07699022
D’Ambrosio, Raffaele; Moradi, Afsaneh; Scalone, Carmela
3
2023
How do Monte Carlo estimates affect stochastic geometric numerical integration? Zbl 1524.65028
D’Ambrosio, Raffaele; Di Giovacchino, Stefano
1
2023
Numerical preservation issues in stochastic dynamical systems by \(\vartheta\)-methods. Zbl 1492.65020
D’Ambrosio, Raffaele; Di Giovacchino, Stefano
4
2022
Multivalue second derivative collocation methods. Zbl 1506.65118
Abdi, A.; Conte, D.; D’Ambrosio, R.; Paternoster, B.
1
2022
Book review of: J. C. Butcher, B-series. Algebraic analysis of numerical methods. Zbl 07593314
D’Ambrosio, Raffaele
1
2022
On the numerical structure preservation of nonlinear damped stochastic oscillators. Zbl 1459.65008
D’Ambrosio, Raffaele; Scalone, Carmela
14
2021
Nonlinear stability issues for stochastic Runge-Kutta methods. Zbl 1455.65014
D’Ambrosio, Raffaele; Di Giovacchino, Stefano
10
2021
Mean-square contractivity of stochastic \(\vartheta\)-methods. Zbl 1464.65009
D’Ambrosio, Raffaele; Di Giovacchino, Stefano
9
2021
Exponential mean-square stability properties of stochastic linear multistep methods. Zbl 1496.65007
Buckwar, Evelyn; D’Ambrosio, Raffaele
8
2021
Filon quadrature for stochastic oscillators driven by time-varying forces. Zbl 07379316
D’Ambrosio, Raffaele; Scalone, Carmela
6
2021
Two-step Runge-Kutta methods for stochastic differential equations. Zbl 1510.65013
D’Ambrosio, Raffaele; Scalone, Carmela
6
2021
Improved \(\vartheta\)-methods for stochastic Volterra integral equations. Zbl 1453.65016
Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice
6
2021
Perturbative analysis of stochastic Hamiltonian problems under time discretizations. Zbl 1471.60083
D’Ambrosio, R.; Giordano, G.; Paternoster, B.; Ventola, A.
5
2021
Multivalue collocation methods free from order reduction. Zbl 1458.65073
D’Ambrosio, Raffaele; Paternoster, Beatrice
4
2021
Multivalue mixed collocation methods. Zbl 1510.65169
Conte, Dajana; D’Ambrosio, Raffaele; D’Arienzo, Maria Pia; Paternoster, Beatrice
2
2021
Adapted numerical modeling for advection-reaction-diffusion problems on a bidimensional spatial domain. Zbl 1473.65100
D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice
1
2021
Drift-preserving numerical integrators for stochastic Hamiltonian systems. Zbl 07188447
Chen, Chuchu; Cohen, David; D’Ambrosio, Raffaele; Lang, Annika
24
2020
Long-term analysis of stochastic \(\theta\)-methods for damped stochastic oscillators. Zbl 1453.65015
Citro, Vincenzo; D’Ambrosio, Raffaele
14
2020
A-stability preserving perturbation of Runge-Kutta methods for stochastic differential equations. Zbl 1524.65027
Citro, Vincenzo; D’Ambrosio, Raffaele; Di Giovacchino, Stefano
7
2020
Jacobian-dependent vs Jacobian-free discretizations for nonlinear differential problems. Zbl 1449.65149
Conte, Dajana; D’Ambrosio, Raffaele; Pagano, Giovanni; Paternoster, Beatrice
3
2020
Nearly conservative multivalue methods with extended bounded parasitism. Zbl 1448.37104
Citro, Vincenzo; D’Ambrosio, Raffaele
1
2020
A spectral method for stochastic fractional differential equations. Zbl 1469.65026
Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice
15
2019
Adapted explicit two-step peer methods. Zbl 1476.65127
Conte, Dajana; D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice
10
2019
On the stability of \(\vartheta\)-methods for stochastic Volterra integral equations. Zbl 1398.65348
Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice
21
2018
Numerical preservation of long-term dynamics by stochastic two-step methods. Zbl 1396.65011
D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice
20
2018
Collocation methods for Volterra integral and integro-differential equations: a review. Zbl 1432.65192
Cardone, Angelamaria; Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice
9
2018
Stability issues for selected stochastic evolutionary problems: a review. Zbl 1432.65009
Cardone, Angelamaria; Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice
7
2018
Parameter estimation in IMEX-trigonometrically fitted methods for the numerical solution of reaction-diffusion problems. Zbl 1498.65187
D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice
5
2018
Adapted numerical modelling of the Belousov-Zhabotinsky reaction. Zbl 1406.92797
D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice; Rossi, Federico
3
2018
Numerical solution of time fractional diffusion systems. Zbl 1372.65228
Burrage, Kevin; Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice
28
2017
Adapted numerical methods for advection-reaction-diffusion problems generating periodic wavefronts. Zbl 1448.65135
D’Ambrosio, Raffaele; Moccaldi, Martina; Paternoster, Beatrice
21
2017
Exponentially fitted IMEX methods for advection-diffusion problems. Zbl 1375.65121
Cardone, Angelamaria; D’Ambrosio, Raffaele; Paternoster, Beatrice
14
2017
High order exponentially fitted methods for Volterra integral equations with periodic solution. Zbl 1357.65314
Cardone, A.; D’Ambrosio, R.; Paternoster, B.
13
2017
Partitioned general linear methods for separable Hamiltonian problems. Zbl 1365.65272
Butcher, John C.; D’Ambrosio, Raffaele
11
2017
Numerical solution of reaction-diffusion systems of \(\lambda\)-\(\omega\) type by trigonometrically fitted methods. Zbl 1327.65180
D’Ambrosio, Raffaele; Paternoster, Beatrice
14
2016
GPU-acceleration of waveform relaxation methods for large differential systems. Zbl 1333.65076
Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice
7
2016
General Nyström methods in Nordsieck form: error analysis. Zbl 1329.65150
D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice
4
2016
A general framework for the numerical solution of second order odes. Zbl 07313350
D’Ambrosio, Raffaele; Paternoster, Beatrice
4
2015
Multi-value numerical methods for Hamiltonian systems. Zbl 1328.65264
D’Ambrosio, Raffaele
1
2015
Long-term stability of multi-value methods for ordinary differential equations. Zbl 1312.65111
D’Ambrosio, R.; Hairer, E.
19
2014
Revised exponentially fitted Runge-Kutta-Nyström methods. Zbl 1311.65097
D’Ambrosio, R.; Paternoster, B.; Santomauro, G.
18
2014
Numerical integration of Hamiltonian problems by G-symplectic methods. Zbl 1301.65127
D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice
16
2014
Natural Volterra Runge-Kutta methods. Zbl 1291.65377
Conte, Dajana; D’Ambrosio, Raffaele; Izzo, Giuseppe; Jackiewicz, Zdzislaw
14
2014
Exponentially fitted singly diagonally implicit Runge-Kutta methods. Zbl 1301.65070
D’Ambrosio, R.; Paternoster, B.
13
2014
Order conditions for general linear Nyström methods. Zbl 1291.65219
D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice
7
2014
\(P\)-stable general Nyström methods for \(y''=f(y(t))\). Zbl 1301.65057
D’Ambrosio, Raffaele; Paternoster, Beatrice
6
2014
Implementation of explicit Nordsieck methods with inherent quadratic stability. Zbl 1266.65122
Braś, Michał; Cardone, Angelamaria; D’Ambrosio, Raffaele
16
2013
G-symplecticity implies conjugate-symplecticity of the underlying one-step method. Zbl 1282.65168
D’Ambrosio, R.; Hairer, E.; Zbinden, C. J.
14
2013
Numerical search for algebraically stable two-step almost collocation methods. Zbl 1255.65130
Conte, Dajana; D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw; Paternoster, Beatrice
14
2013
Parameter estimation in exponentially fitted hybrid methods for second order differential problems. Zbl 1259.65111
D’Ambrosio, Raffaele; Esposito, Elena; Paternoster, Beatrice
23
2012
General linear methods for \(y^{\prime\prime} = f(y(t))\). Zbl 1275.65039
D’Ambrosio, R.; Esposito, E.; Paternoster, B.
23
2012
Exponentially fitted two-step Runge-Kutta methods: construction and parameter selection. Zbl 1246.65110
D’Ambrosio, Raffaele; Esposito, Elena; Paternoster, Beatrice
22
2012
Two-step diagonally-implicit collocation based methods for Volterra integral equations. Zbl 1251.65172
Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice
20
2012
Two-step modified collocation methods with structured coefficient matrices. Zbl 1251.65115
D’Ambrosio, Raffaele; Paternoster, Beatrice
18
2012
Search for highly stable two-step Runge-Kutta methods. Zbl 1252.65119
D’Ambrosio, R.; Izzo, G.; Jackiewicz, Z.
14
2012
A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods. Zbl 1246.65109
Conte, Dajana; D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw; Paternoster, Beatrice
9
2012
Perturbed MEBDF methods. Zbl 1247.65091
D’Ambrosio, Raffaele; Izzo, Giuseppe; Jackiewicz, Zdzislaw
9
2012
Construction of nearly conservative multivalue numerical methods for Hamiltonian problems. Zbl 1329.65305
D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice
5
2012
On the G-symplecticity of two-step Runge-Kutta methods. Zbl 1329.65149
D’Ambrosio, Raffaele
5
2012
Exponentially fitted two-step hybrid methods for \(y^{\prime\prime} = f(x,y)\). Zbl 1220.65088
D’Ambrosio, R.; Esposito, E.; Paternoster, B.
30
2011
Trigonometrically fitted two-step hybrid methods for special second order ordinary differential equations. Zbl 1210.65133
D’Ambrosio, R.; Ferro, M.; Paternoster, B.
24
2011
Construction of the ef-based Runge-Kutta methods revisited. Zbl 1217.65146
D’Ambrosio, R.; Ixaru, L. Gr.; Paternoster, B.
21
2011
Construction and implementation of highly stable two-step continuous methods for stiff differential systems. Zbl 1220.65096
D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw
18
2011
Advances on collocation based numerical methods for ordinary differential equations and Volterra integral equations. Zbl 1216.65097
Conte, Dajana; D’Ambrosio, Raffaele; Paternoster, Beatrice
3
2011
Construction of diagonally implicit almost collocation methods for Volterra integral equations. Zbl 1238.65126
Conte, D.; D’Ambrosio, R.; Paternoster, B.
1
2011
Two-step almost collocation methods for ordinary differential equations. Zbl 1186.65107
D’Ambrosio, R.; Ferro, M.; Jackiewicz, Z.; Paternoster, B.
25
2010
Continuous two-step Runge-Kutta methods for ordinary differential equations. Zbl 1191.65092
D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw
21
2010
Two-step Runge-Kutta methods with quadratic stability functions. Zbl 1203.65107
Conte, D.; D’Ambrosio, R.; Jackiewicz, Z.
19
2010
Two-step hybrid collocation methods for \(y^{\prime\prime} = f(x,y)\). Zbl 1179.65103
D’Ambrosio, R.; Ferro, M.; Paternoster, B.
26
2009
Runge-Kutta-Nyström stability for a class of general linear methods for \(y^{\prime\prime} = f(x,y)\). Zbl 1182.65128
D’Ambrosio, R.; Paternoster, B.
3
2009
Highly stable general linear methods for differential systems. Zbl 1179.65101
D’Ambrosio, R.; Izzo, G.; Jackiewicz, Z.
2
2009
Collocation-based two step Runge-Kutta methods for ordinary differential equations. Zbl 1297.65081
D’Ambrosio, R.; Ferro, M.; Paternoster, B.
4
2008
A general family of two step collocation methods for ordinary differential equations. Zbl 1152.65320
D’Ambrosio, R.; Ferro, M.; Paternoster, B.
3
2007
all top 5

Cited by 304 Authors

65 D’Ambrosio, Raffaele
55 Paternoster, Beatrice
32 Conte, Dajana
25 Jackiewicz, Zdzislaw
21 Cardone, Angelamaria
16 Abdi, Ali
15 Hojjati, Gholamreza
11 Izzo, Giuseppe
10 Di Giovacchino, Stefano
9 Jator, Samuel N.
9 Li, Jiyong
7 Braś, Michał
7 Fang, Yonglei
7 Scalone, Carmela
7 You, Xiong
6 Huang, Chengming
6 Ixaru, Liviu Gr.
6 Rández, Luis
5 Franco, J. Méndez
5 Moradi, Afsaneh
5 Pagano, Giovanni
5 Yang, Yanping
5 Zhao, Longbin
4 Citro, Vincenzo
4 De Martino, Giuseppe
4 Esposito, Elena
4 Ismail, Fudziah Bt.
4 Moccaldi, Martina
4 Senu, Norazak
4 Simos, Theodore E.
4 Tian, Hongjiong
4 Wen, Jiao
3 Butcher, John C.
3 Dai, Xinjie
3 Deng, Shuo
3 Fazeli, Somayyeh
3 Ferro, Maria
3 Frasca-Caccia, Gianluca
3 Habib, Yousaf
3 Li, Min
3 Moradi, Leila
3 Norton, Terence J. T.
3 Podhaisky, Helmut
3 Sandu, Adrian
3 Santomauro, Giuseppe
3 Suleiman, Mohamed Bin
3 Wang, Bin
3 Wang, Xianfen
3 Xiao, Aiguo
3 Zhang, Hong
2 Ahmad, Sufia Zulfa
2 Anastassi, Zacharias A.
2 Băleanu, Dumitru I.
2 Berardi, Marco
2 Berrut, Jean-Paul
2 Califano, Giovanna
2 Calvo, Manuel
2 Demba, Musa Ahmed
2 Fan, Qiongqi
2 Hairer, Ernst
2 Hajipour, Mojtaba
2 Hill, Adrian T.
2 Hosseini, Seyyed Ahmad
2 Jiang, Xiaoyun
2 Liu, Zhongli
2 Montijano, Juan Ignacio
2 Nasab, Masoumeh Hosseini
2 Nguyen-Ba, Truong
2 Nwachukwu, Grace C.
2 Okor, T.
2 Okuonghae, Robert I.
2 Ramos, Higinio
2 Van Daele, Marnix
2 Wang, Mengjie
2 Welfert, Bruno D.
2 Wu, Jingwen
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 Ahmed, Idris
1 Aiguobasimwin, I. B.
1 Akinfenwa, A. O.
1 Ali, Ishtiaq
1 Ali, Mushtaq Salh
1 Almasoodi, A. Y. J.
1 Alshehri, Maryam Gharamah Ali
1 Anakira, N. Ratib
1 Antonelli, Fabio
1 Arif, Azqa
1 Avazzadeh, Zakieh
1 Azarnavid, Babak
1 Bani-Hani, G. F.
1 Banjai, Lehel
1 Bartoszewski, Zbigniew
1 Behzad, Batoul
...and 204 more Authors
all top 5

Cited in 66 Serials

47 Applied Numerical Mathematics
37 Journal of Computational and Applied Mathematics
21 Numerical Algorithms
20 Applied Mathematics and Computation
14 Computational and Applied Mathematics
12 Mathematics and Computers in Simulation
10 Communications in Nonlinear Science and Numerical Simulation
9 Computer Physics Communications
8 International Journal of Computer Mathematics
6 Applied Mathematics Letters
6 Journal of Mathematical Chemistry
5 Computers & Mathematics with Applications
5 BIT
4 Advances in Computational Mathematics
4 Mathematical Modelling and Analysis
3 Journal of Scientific Computing
3 Discrete Dynamics in Nature and Society
3 Discrete and Continuous Dynamical Systems. Series B
3 Journal of Applied Mathematics and Computing
3 Journal of Computational Dynamics
2 Journal of Computational Physics
2 Physica A
2 Calcolo
2 Bulletin of the Iranian Mathematical Society
2 SIAM Journal on Scientific Computing
2 Discrete and Continuous Dynamical Systems
2 Mathematical Problems in Engineering
2 Fractional Calculus & Applied Analysis
2 International Journal of Computational Methods
2 Mediterranean Journal of Mathematics
2 Axioms
1 Mathematical Methods in the Applied Sciences
1 Mathematics of Computation
1 Chaos, Solitons and Fractals
1 International Journal of Mathematics and Mathematical Sciences
1 SIAM Journal on Numerical Analysis
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 Abstract and Applied Analysis
1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki
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 Thai Journal of 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 Advances in Applied Mathematics and Mechanics
1 Symmetry
1 Analysis and Mathematical Physics
1 Afrika Matematika
1 Journal of Modern Methods in Numerical Mathematics
1 Mathematical Sciences
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

Citations by Year