J
Juan I. Ramos
Researcher at University of Málaga
Publications - 253
Citations - 3047
Juan I. Ramos is an academic researcher from University of Málaga. The author has contributed to research in topics: Nonlinear system & Jet (fluid). The author has an hindex of 24, co-authored 253 publications receiving 2932 citations. Previous affiliations of Juan I. Ramos include University of Pittsburgh & Princeton University.
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Internal combustion engine modeling
TL;DR: In this article, the authors present mathematical models of rotary engines, diesel engines, spark-ignition engines, and gas exchange processes in two-stroke engines for air standard cycles and equilibrium charts.
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Series approach to the Lane–Emden equation and comparison with the homotopy perturbation method
TL;DR: In this article, series solutions of the Lane-Emden equation based on either a Volterra integral equation formulation or the expansion of the dependent variable in the original ordinary differential equation are presented and compared with series solutions obtained by means of integral or differential equations based on a transformation of dependent variables.
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On the variational iteration method and other iterative techniques for nonlinear differential equations
TL;DR: It is shown that some of the iterative methods for initial-value problems presented here are special cases of the Bellman–Kalaba quasilinearization technique provided that the nonlinearities are differentiable with respect to the dependent variable and its derivatives, but such a condition is not required by the techniques presented in this paper.
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Linearization methods in classical and quantum mechanics
TL;DR: The applicability and accuracy of linearization methods for initial-value problems in ordinary differential equations are verified on examples that include the nonlinear Duffing equation, the Lane-Emden equation, and scattering length calculations.
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Linearization techniques for singular initial-value problems of ordinary differential equations
TL;DR: It is shown that linearization methods provide more accurate solutions than methods based on perturbation methods and that the accuracy of these techniques depends on the nonlinearity of the ordinary differential equations and may not be a monotonic function of the step size.