Beatrice Paternoster

According to our database1, Beatrice Paternoster authored at least 47 papers between 1998 and 2021.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2021
Multivalue collocation methods free from order reduction.
J. Comput. Appl. Math., 2021

Improved ϑ-methods for stochastic Volterra integral equations.
Commun. Nonlinear Sci. Numer. Simul., 2021

Perturbative analysis of stochastic Hamiltonian problems under time discretizations.
Appl. Math. Lett., 2021

2020
User-Friendly Expressions of the Coefficients of Some Exponentially Fitted Methods.
Proceedings of the Computational Science and Its Applications - ICCSA 2020, 2020

Multivalue Almost Collocation Methods with Diagonal Coefficient Matrix.
Proceedings of the Computational Science and Its Applications - ICCSA 2020, 2020

2019
Adapted explicit two-step peer methods.
J. Num. Math., 2019

2018
Parameter estimation in IMEX-trigonometrically fitted methods for the numerical solution of reaction-diffusion problems.
Comput. Phys. Commun., 2018

Stability Issues for Selected Stochastic Evolutionary Problems: A Review.
Axioms, 2018

Collocation Methods for Volterra Integral and Integro-Differential Equations: A Review.
Axioms, 2018

2017
Exponentially fitted IMEX methods for advection-diffusion problems.
J. Comput. Appl. Math., 2017

Adapted numerical methods for advection-reaction-diffusion problems generating periodic wavefronts.
Comput. Math. Appl., 2017

Stochastic Numerical Models of Oscillatory Phenomena.
Proceedings of the Artificial Life and Evolutionary Computation - 12th Italian Workshop, 2017

2016
GPU-acceleration of waveform relaxation methods for large differential systems.
Numer. Algorithms, 2016

Modified Gauss-Laguerre Exponential Fitting Based Formulae.
J. Sci. Comput., 2016

General Nyström methods in Nordsieck form: Error analysis.
J. Comput. Appl. Math., 2016

On the Employ of Time Series in the Numerical Treatment of Differential Equations Modeling Oscillatory Phenomena.
Proceedings of the Advances in Artificial Life, Evolutionary Computation, and Systems Chemistry, 2016

2015
A general framework for the numerical solution of second order ODEs.
Math. Comput. Simul., 2015

Ef-Gaussian direct quadrature methods for Volterra integral equations with periodic solution.
Math. Comput. Simul., 2015

2014
Order conditions for General Linear Nyström methods.
Numer. Algorithms, 2014

Exponentially fitted singly diagonally implicit Runge-Kutta methods.
J. Comput. Appl. Math., 2014

p-stable general Nyström methods for y″=f(y(t)).
J. Comput. Appl. Math., 2014

Exponentially-fitted Gauss-Laguerre quadrature rule for integrals over an unbounded interval.
J. Comput. Appl. Math., 2014

Revised exponentially fitted Runge-Kutta-Nyström methods.
Appl. Math. Lett., 2014

Numerical integration of Hamiltonian problems by G-symplectic methods.
Adv. Comput. Math., 2014

2013
Numerical search for algebraically stable two-step almost collocation methods.
J. Comput. Appl. Math., 2013

2012
General linear methods for y′′ = f (y (t)).
Numer. Algorithms, 2012

Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday.
Comput. Phys. Commun., 2012

Exponentially fitted two-step Runge-Kutta methods: Construction and parameter selection.
Appl. Math. Comput., 2012

2011
Trigonometrically fitted two-step hybrid methods for special second order ordinary differential equations.
Math. Comput. Simul., 2011

Exponentially fitted two-step hybrid methods for y<sup>″</sup>=f(x, y).
J. Comput. Appl. Math., 2011

Construction of the ef-based Runge-Kutta methods revisited.
Comput. Phys. Commun., 2011

2010
Two-step almost collocation methods for ordinary differential equations.
Numer. Algorithms, 2010

Exponential fitting Direct Quadrature methods for Volterra integral equations.
Numer. Algorithms, 2010

Some new uses of the eta<sub>m</sub>(Z) functions.
Comput. Phys. Commun., 2010

2009
Two-step hybrid collocation methods for y<sup>"</sup>=f(x, y).
Appl. Math. Lett., 2009

2008
Two-step almost collocation methods for Volterra integral equations.
Appl. Math. Comput., 2008

Collocation-Based Two Step Runge-Kutta Methods for Ordinary Differential Equations.
Proceedings of the Computational Science and Its Applications - ICCSA 2008, International Conference, Perugia, Italy, June 30, 2008

2006
Stability analysis of frequency and step length dependent Runge-Kutta-Nyström methods.
Future Gener. Comput. Syst., 2006

A General Family of Two Step Runge-Kutta-Nyström Methods for <i>y</i><sup>"</sup> = <i>f</i>(<i>x</i>, <i>y</i>) Based on Algebraic Polynomials.
Proceedings of the Computational Science, 2006

2004
Vandermonde-Type Matrices in Two Step Collocation Methods for Special Second Order Ordinary Differential Equations.
Proceedings of the Computational Science, 2004

Function Fitting Two-Step BDF Algorithms for ODEs.
Proceedings of the Computational Science, 2004

2003
Two Step Runge-Kutta-Nyström Methods for Oscillatory Problems Based on Mixed Polynomials.
Proceedings of the Computational Science - ICCS 2003, 2003

2002
Two Step Runge-Kutta-Nyström Methods for y'' = f(x, y) and P-Stability.
Proceedings of the Computational Science - ICCS 2002, 2002

2000
About stability of nonlinear stochastic difference equations.
Appl. Math. Lett., 2000

1999
Analysis of Stability of Rational Approximations through Computer Algebra.
Proceedings of the Second Workshop on Computer Algebra in Scientific Computing, 1999

1998
Computation of the Interval of Stability of Runge-Kutta-Nyström Methods.
J. Symb. Comput., 1998

A Workload Characterization by Clustering Technique.
Comput. Artif. Intell., 1998


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