An adaptive stepsize algorithm for the numerical solving of initial-value problems
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 The present paper focuses on the efficient numerical solving of initial-value problems (IVPs) using digital computers and one-step numerical methods. We start from considering that the integration stepsize is the crucial factor in determining the number ...
Militaru Romulus
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A new accurate numerical method of approximation of chaotic solutions of dynamical model equations with quadratic nonlinearities [PDF]
, 2016 7 pages; 3 figures.International audienceIn this article the authors describe the method of construction of approximate chaotic solutions of dynamical model equations with quadratic nonlinearities in a general form using a new accurate numerical method ...
Lozi, René +2 more
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, 2014 Transcendental numbers play an important role in many areas of science. This paper contains a short survey on transcendental numbers and some relations among them.
Nichita, Florin F.
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ANALYSIS OF TWO PARAREAL ALGORITHMS FOR TIME-PERIODIC PROBLEMS ∗ [PDF]
, 2013 . The parareal algorithm, which permits us to solve evolution problems in a time parallel fashion, has created a lot of attention over the past decade. The algorithm has its roots in the multiple shooting method for boundary value problems, which in the ...
Bo Song +3 more
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Harnack inequalities and discrete - continuum error estimates for a chain of atoms with two - body interactions [PDF]
, 2008 International audienceIn the three-dimensional euclidean space, we consider deformations of an infinite linear chain of atoms where each atom interacts with all others through a two-body potential.
Benguria, Rafael +2 more
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Error estimates for the Euler discretization of an optimal control problem with first-order state constraints [PDF]
, 2017 International audienceWe study the error introduced in the solution of an optimal control problem with first order state constraints, for which the trajectories are approximated with a classical Euler scheme.
Bonnans, Joseph Frederic, Festa, Adriano
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Demonstratio MathematicaThis article investigates new analytical wave solutions within the beta (β\beta ) fractional framework (Fκ\kappa IIAE and Fκ\kappa IIBE) of the Kuralay II equations, which are significant in the field of nonlinear optics.
Ege Serife Muge
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Spectral Decay of Time and Frequency Limiting Operator
, 2014 For fixed $c,$ the Prolate Spheroidal Wave Functions (PSWFs) $\psi_{n, c}$ form a basis with remarkable properties for the space of band-limited functions with bandwidth $c$. They have been largely studied and used after the seminal work of D. Slepian, H.
Bonami, Aline, Karoui, Abderrazek
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A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations [PDF]
, 2018 In this paper, a boundary value problem for a singularly perturbed linear system of two second order ordinary differential equations of convection- diffusion type is considered on the interval [0, 1]. The components of the solution of this system exhibit
Kalaiselvan, Saravana Sankar +2 more
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Variations in the geometry of the basins of escape in a modified Hénon–Heiles potential
Demonstratio MathematicaIn this article, we show how the curves that limit the basins of escape in a version of a Hénon–Heiles potential with a singularity at the origin evolve with the energy.
Navarro Juan F.
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