Results 21 to 30 of about 139 (42)
On the numerical structure preservation of nonlinear damped stochastic oscillators [PDF]
, 2020 The paper is focused on analyzing the conservation issues of stochastic-methods when applied to nonlinear damped stochastic oscillators. In particular, we are interested in reproducing the long-term properties of the continuous problem over its ...
D'Ambrosio R., Scalone C.
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Novel symplectic integrators for the Klein-Gordon equation with space- and time-dependent mass [PDF]
, 2019 [EN] We consider the numerical time-integration of the non-stationary Klein-Gordon equation with position- and time-dependent mass. A novel class of time-averaged symplectic splitting methods involving double commutators is analyzed and 4th- and 6th ...
Bader, Philipp +3 more
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An asynchronous leapfrog method II [PDF]
, 2016 A second order explicit one-step numerical method for the initial value problem of the general ordinary differential equation is proposed. It is obtained by natural modifications of the well-known leapfrog method, which is a second order, two-step ...
Mutze, Ulrich
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The Asymptotic Iteration Method Revisited
, 2020 The Asymptotic Iteration Method (AIM) is a technique for solving analytically and approximately the linear second-order differential equation, especially the eigenvalue problems that frequently appear in theoretical and mathematical physics. The analysis
Ismail, Mourad E. H., Saad, Nasser
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Reducibility and contractivity of Runge-Kutta methods revisited [PDF]
, 2018 The exact relation between a Cooper-like reducibility concept and the reducibilities introduced by Hundsdorfer, Spijker and by Dahlquist and Jeltsch is given.
Jeltsch, Rolf
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Explicit Time-Stepping for Stiff ODEs [PDF]
, 2003 We present a new strategy for solving stiff ODEs with explicit methods. By adaptively taking a small number of stabilizing small explicit time steps when necessary, a stiff ODE system can be stabilized enough to allow for time steps much larger than what
Anders Logg +3 more
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Symplectic integrators for second-order linear non-autonomous equations [PDF]
, 2017 [EN] Two families of symplectic methods specially designed for second-order time-dependent linear systems are presented. Both are obtained from the Magnus expansion of the corresponding first-order equation, but otherwise they differ in significant ...
Al-Mohy +30 more
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Pseudospectral reduction to compute Lyapunov exponents of delay differential equations [PDF]
, 2018 A recent pseudospectral collocation is used to reduce a nonlinear delay differential equation to a system of ordinary differential equations. Standard methods are then applied to compute Lyapunov exponents.
Breda, Dimitri, della Schiava, Sara
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An Analytical Technique for Solving Nonlinear Heat Transfer Equations [PDF]
, 2010 In this paper, an analytic technique, namely the New Homotopy Perturbation Method (NHPM) is applied for solving the nonlinear differential equations arising in the field of heat transfer.
Aminikhah, Hossein, Hemmatnezhad, Milad
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Computing the structured pseudospectrum of a Toeplitz matrix and its extreme points
, 2012 The computation of the structured pseudospectral abscissa and radius (with respect to the Frobenius norm) of a Toeplitz matrix is discussed and two algorithms based on a low rank property to construct extremal perturbations are presented.
Buttà , Paolo +2 more
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