Results 91 to 100 of about 82,462 (247)
Runge–Kutta methods and Banach algebras
Journal of Computational and Applied Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The numerical approximation of nonlinear chaotic differential systems, such as the modified stretch‐twist‐fold (STF) flow and multi‐bond chaotic attractors, presents a significant challenge due to their sensitive dependence on initial conditions and complex dynamics where analytical solutions are unattainable.
Shina Daniel Oloniiju, Anastacia Dlamini
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Semi Implicit Hybrid Methods with Higher Order Dispersion for Solving Oscillatory Problems
Abstract and Applied Analysis, 2013 We constructed three two-step semi-implicit hybrid methods (SIHMs) for solving oscillatory second order ordinary differential equations (ODEs). The first two methods are three-stage fourth-order and three-stage fifth-order with dispersion order six and ...
S. Z. Ahmad +3 more
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An Improved Air Film Model for Studying the Tilt Characteristics of Aerostatic Thrust Bearings
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT In this study, an improved mass‐spring model that treats the lubricating air film as distributed springs is proposed to calculate the static and dynamic angular stiffness of aerostatic thrust bearings. The proposed model refines the traditional mass‐spring model by introducing the spatially varying mechanical properties of the air film and the
Hui Zhuang, Jianguo Ding, Yu Chang
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Stepsize Restrictions for Nonlinear Stability Properties of Neutral Delay Differential Equations
Abstract and Applied Analysis, 2014 The present paper is concerned with the relationship between stepsize restriction and nonlinear stability of Runge-Kutta methods for delay differential equations.
Wei Gu, Ming Wang, Dongfang Li
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Coexistence, crossover and extirpation in coalescent communities and ecotones
Oikos, EarlyView.When two ecological communities come into contact, the strength of their mixing determines whether species coexist, extirpate, or extend their ranges. We present analytical formulas and simulations describing these transitions. Specifically, we derive abundance shifts upon community coalescence, identify the critical mixing strength leading to first ...
Martin Heidelman, Dervis Can Vural
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Stability Optimization of Explicit Runge–Kutta Methods with Higher-Order Derivatives
AlgorithmsThe paper is devoted to the parametric stability optimization of explicit Runge–Kutta methods with higher-order derivatives. The key feature of these methods is the dependence of the coefficients of their stability polynomials on free parameters.
Gerasim V. Krivovichev
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Propellants, Explosives, Pyrotechnics, EarlyView.Physics‐Aware Recurrent Convolutional Neural Networks (PARC) can reliably learn the thermomechanics of energetic materials as a function of morphology. This work introduces LatentPARC, which accelerates PARC by modeling the dynamics in a low‐dimensional latent space.
Zoë J. Gray +5 more
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Journal of Applied Mathematics, 2014 This paper is concerned with the numerical stability of Runge-Kutta methods for a class of nonlinear functional differential and functional equations.
Yuexin Yu, Zhongyan Liu, Liping Wen
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Impact of small‐scale gravity waves on tracer transport
Quarterly Journal of the Royal Meteorological Society, EarlyView.We extend a gravity wave (GW) parametrization to calculate the tracer transport due to the GW–Stokes drift and next‐order effects, where the approach is validated by comparing coarse‐resolution simulations with parametrized GWs to high‐resolution, wave‐resolving reference simulations.
Irmgard Knop +2 more
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