L.G.S. Duarte

Universidade Federal Fluminense — Brazil

Mathematics · Physical Sciences

13h-index580citations63works1.22yr avg
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Research Topics

Numerical methods for differential equations(30), Nonlinear Waves and Solitons(28), Advanced Differential Equations and Dynamical Systems(22), Polynomial and algebraic computation(12), Quantum chaos and dynamical systems(9)

Publications63 total

Synthetic cannabinoids in hair: a review of recent findings and analytical methods by LC-MS/MS
Analytica Chimica Acta·2026
Numerical analysis and integration of dynamical systems and the fractal dimension of boundaries
Computer Physics Communications·2024Open Access
A new way to use nonlocal symmetries to determine first integrals of second-order nonlinear ordinary differential equations
Computer Physics Communications·2024· 4 citedOpen Access
An efficient way to determine Liouvillian first integrals of rational second order ordinary differential equations
Computer Physics Communications·2024· 3 citedOpen Access
NOVAS TECNOLOGIAS PARA MIMETIZAÇÃO DE ORGAN ON A CHIPS PARA TESTES DE FÁRMACOS
2024
IMPLEMENTAÇÃO DE CULTURA TRIDIMENSIONAL EM DISPOSITIVOS DE MICROFLUÍDICAS UTILIZANDO CÉLULAS VERO
2024
Finding nonlocal Lie symmetries algorithmically
Chaos Solitons & Fractals·2023· 2 cited
A new use of nonlocal symmetries for computing Liouvillian first integrals of rational second order ordinary differential equations
arXiv (Cornell University)·2023Open Access
Solving first order differential equations presenting elementary functions
arXiv (Cornell University)·2023Open Access
Finding nonlocal Lie symmetries algorithmically
arXiv (Cornell University)·2023Open Access
A New S-Function Method searching for First Order Differential Integrals: Faster, Broader, Better
arXiv (Cornell University)·2023Open Access
Finding Nonlocal Lie Symmetries Algorithmically
SSRN Electronic Journal·2023Open Access
An efficient method for computing Liouvillian first integrals of planar polynomial vector fields
Journal of Differential Equations·2021· 4 citedOpen Access
A generalization of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e402" altimg="si9.svg"><mml:mi>S</mml:mi></mml:math>-function method applied to a Duffing–Van der Pol forced oscillator
Computer Physics Communications·2020· 1 citedOpen Access
The goodness of global fitting in the reconstruction scheme
Computer Physics Communications·2019· 3 cited
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
Detecting chaos and predicting in Dow Jones Index
Chaos Solitons & Fractals·2018· 16 cited
Solving 1ODEs with functions
arXiv (Cornell University)·2017Open Access
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Frequent Co-authors

L.A.C.P. da Mota(39), Sérgio Duarte(12), J. Avellar(12), Isabel C. Moreira(6), P.R.L. Alves(6), J E F Skea(4), Norbert Euler(3), W.‐H. Steeb(3), E.S. Cheb-Terrab(2), M.S. Cardoso(2), A. Braz(2), A.F. Rocha(2), Félix Christian Guimarães Santos(1), H. Carli(1), Helder Ferreira(1), A.C.S. Guabiraba(1), I. S. S. Nascimento(1), Enrique Izquierdo Nuñez(1), J.C. Eiras(1), Lívia Barbosa(1)