J. Avellar

Universidade do Estado do Rio de Janeiro — Brazil

Mathematics · Physical Sciences

6h-index103citations25works0.02yr avg
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Research Topics

Numerical methods for differential equations(10), Advanced Differential Equations and Dynamical Systems(9), Nonlinear Waves and Solitons(7), Polynomial and algebraic computation(5), Innovative Approaches in Technology and Social Development(5)

Publications25 total

A Semi-Algorithm to Find Elementary First Order Invariants of Rational Second Order Ordinary Differential Equations
2019
Associative Integrator
arXiv (Cornell University)·2018Open Access
Dealing with rational second order ordinary differential equations where both Darboux and Lie find it difficult: The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml99" display="inline" overflow="scroll" altimg="si34.gif"><mml:mi>S</mml:mi></mml:math>-function method
Computer Physics Communications·2018· 9 citedOpen Access
Finding higher order Darboux polynomials for a family of rational first order ordinary differential equations
Computer Physics Communications·2015
Improving a family of Darboux methods for rational second order ordinary differential equations
Computer Physics Communications·2015
Determining Liouvillian first integrals for dynamical systems in the plane and an integrability analysis
Computer Physics Communications·2014
A Maple package to find first order differential invariants of 2ODEs via a Darboux approach
Computer Physics Communications·2013
PSsolver: A Maple implementation to solve first order ordinary differential equations with Liouvillian solutions
Computer Physics Communications·2012· 5 cited
The Ndynamics package—Numerical analysis of dynamical systems and the fractal dimension of boundaries
Computer Physics Communications·2012
Determining Liouvillian first integrals for dynamical systems in the plane
Computer Physics Communications·2007· 9 citedOpen Access
A semi-algorithm to find elementary first order invariants of rational second order ordinary differential equations
Applied Mathematics and Computation·2006· 6 cited
Finding Elementary First Integrals for Rational Second Order Ordinary Differential Equations
arXiv (Cornell University)·2005Open Access
A semi-algorithm to find elementary first order invariants of rational second order ordinary differential equations
arXiv (Cornell University)·2005Open Access
Integrating first-order differential equations with Liouvillian solutions via quadratures: a semi-algorithmic method
Journal of Computational and Applied Mathematics·2005· 14 cited
Innovation and Social Process: A National Experiment in Implementing Social Technology.
Contemporary Sociology A Journal of Reviews·1982· 37 cited
Indigenous Interaction and Innovation
Elsevier eBooks·1980
Site Visits and Innovation Processes: An Experiment
Elsevier eBooks·1980
Promoting Innovation Communication Through Print Media: An Experiment
Elsevier eBooks·1980
Designing an Experiment in Organizational Innovation
Elsevier eBooks·1980
An Overview
Elsevier eBooks·1980
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Frequent Co-authors

L.G.S. Duarte(14), L.A.C.P. da Mota(14), Louis G. Tornatzky(11), Esther O. Fergus(11), George W. Fairweather(10), Michael Fleischer(9), Sérgio Duarte(6), M.S. Cardoso(2), Peter H. Rossi(1), Mitchell Fleischer(1), George W. Fairweather(1), M. Fleischer(1), N. de Melo(1), J E F Skea(1), AM Fraga(1), A.L.G.C. Claudino(1)