Results 91 to 100 of about 32,630,588 (240)
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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Generalized disks of contractivity for explicit and implicit Runge-Kutta methods [PDF]
The A-contractivity of Runge-Kutta methods with respect to an inner product norm was investigated thoroughly by Butcher and Burrage (who used the term B-stability).
Dahlquist, G., Jeltsch, R.
core +1 more source
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
wiley +1 more source
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Saturated high plasticity clays show complex nonlinear, rate‐dependent, and hysteresis behaviors under non‐monotonic stress paths, requiring advanced mathematical constitutive equations for accurate description. Taking into account the inherent advantages of kinematic hardening mechanisms in simulating complex stress histories, this paper ...
Wei Cheng, Zhen‐Yu Yin
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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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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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Seismic imaging of the critical zone of dolerite dykes at Cap Fréhel in Brittany (France)
Near Surface Geophysics, EarlyView.Abstract In June 2023, we measured ten near‐surface seismic profiles to image the critical zone of dolerite (diabase) dykes that cut the sandstone at Cap Fréhel in Brittany (France). Seismic ray tracing and inversion are used to determine the thickness of the regolith layer from first‐arrival P‐wave traveltimes.
M. Zillmer +4 more
wiley +1 more source
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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Solving Linear Boundary Value Problem Using Shooting Continuous Explicit Runge-Kutta Method
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 In this paper we shall generalize fifth explicit Runge-Kutta Feldberg(ERKF(5)) and Continuous explicit Runge-Kutta (CERK) method using shooting method to solve second order boundary value problem which can be reduced to order one.These methods we ...
Madeha Sh. Yousif, Bushra E. Kashiem
doaj
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
wiley +1 more source