Results 11 to 20 of about 91 (67)
Adiabatic integrators for highly oscillatory second order linear differential equations with time-varying eigendecomposition [PDF]
, 2005 . Numerical integrators for second order differential equations with time-dependent high frequencies are proposed and analysed. We derive two such methods, called the adiabatic midpoint rule and the adiabatic Magnus method. The integrators are based on a
Lubich, Ch. +5 more
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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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An error embedded Runge-Kutta method for initial value problems
, 2016 In this paper, we propose an error embedded Runge-Kutta method to improve the traditional embedded Runge-Kutta method. The proposed scheme can be applied into most explicit embedded Runge-Kutta methods.
Sunyoung Bu, WonKyu Jung, Philsu Kim
semanticscholar +1 more source
, 2021 The present study is conducted on finite difference method in Shishkin piecewise uniform mesh in a singularly perturbed boundary value problem for a nonlinear differential equation.
Arslan, Derya
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The solution method and its accuracy for a nonlinear Timoshenko axisymmetric shell model
ESAIM: Mathematical Modelling and Numerical AnalysisThe boundary value problem of the axisymmetric displacement of a Timoshenko (cylindrical) shell in static regime was considered. From the given nonlinear system of ordinary differential equations with respect to the displacement functions $u$, $w$ and $\
J. Peradze, N. Kachakhidze
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Uniform Approximation and Explicit Estimates for the Prolate Spheroidal Wave Functions
, 2015 International audienceFor xed c, Prolate Spheroidal Wave Functions (PSWFs), denoted by ψ n,c , form an orthogonal basis with remarkable properties for the space of band-limited functions with bandwith c.
Karoui, Abderrazek, Bonami, Aline
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A structure-preserving iteration method of model updating based on matrix approximation theory
, 2010 Some theories and a method are discussed on updating a generalized centrosymmetric model. It gives a generalized centrosymmetric modified solution with partial prescribed least square spectra constraints.
D. Xie
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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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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.This study introduces a new three‐dimensional chaotic oscillator system characterized by zero eigenvalues, with stability localized in the center manifold, an uncommon feature in chaotic system design. The proposed system is constructed entirely from nonlinear terms and demonstrates complex dynamics validated through bifurcation analysis and Lyapunov ...
Ali Shukur +6 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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