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Relevant bibliographies by topics / One-dimensional stable laws

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Journal articles

Academic literature on the topic 'One-dimensional stable laws'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "One-dimensional stable laws"

1

Gu, Yaguang, and Guanghui Hu. "A Third Order Adaptive ADER Scheme for One Dimensional Conservation Laws." Communications in Computational Physics 22, no. 3 (2017): 829–51. http://dx.doi.org/10.4208/cicp.oa-2016-0088.

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AbstractWe introduce a third order adaptive mesh method to arbitrary high order Godunov approach. Our adaptive mesh method consists of two parts, i.e., mesh-redistribution algorithm and solution algorithm. The mesh-redistribution algorithm is derived based on variational approach, while a new solution algorithm is developed to preserve high order numerical accuracy well. The feature of proposed Adaptive ADER scheme includes that 1). all simulations in this paper are stable for large CFL number, 2). third order convergence of the numerical solutions is successfully observed with adaptive mesh m

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2

Torii, Takeshi. "On degeneration of one-dimensional formal group laws and applications to stable homotopy theory." American Journal of Mathematics 125, no. 5 (2003): 1037–77. http://dx.doi.org/10.1353/ajm.2003.0036.

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Hesthaven, Jan S., and Fabian Mönkeberg. "Entropy stable essentially nonoscillatory methods based on RBF reconstruction." ESAIM: Mathematical Modelling and Numerical Analysis 53, no. 3 (2019): 925–58. http://dx.doi.org/10.1051/m2an/2019011.

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To solve hyperbolic conservation laws we propose to use high-order essentially nonoscillatory methods based on radial basis functions. We introduce an entropy stable arbitrary high-order finite difference method (RBF-TeCNOp) and an entropy stable second order finite volume method (RBF-EFV2) for one-dimensional problems. Thus, we show that methods based on radial basis functions are as powerful as methods based on polynomial reconstruction. The main contribution is the construction of an algorithm and a smoothness indicator that ensures an interpolation function which fulfills the sign-property

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Cheng, Xiaohan. "A Fourth Order Entropy Stable Scheme for Hyperbolic Conservation Laws." Entropy 21, no. 5 (2019): 508. http://dx.doi.org/10.3390/e21050508.

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This paper develops a fourth order entropy stable scheme to approximate the entropy solution of one-dimensional hyperbolic conservation laws. The scheme is constructed by employing a high order entropy conservative flux of order four in conjunction with a suitable numerical diffusion operator that based on a fourth order non-oscillatory reconstruction which satisfies the sign property. The constructed scheme possesses two features: (1) it achieves fourth order accuracy in the smooth area while keeping high resolution with sharp discontinuity transitions in the nonsmooth area; (2) it is entropy

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5

BALAKRISHNAN, V., and M. THEUNISSEN. "POWER-LAW TAILS AND LIMIT LAWS FOR RECURRENCE TIME DISTRIBUTIONS." Stochastics and Dynamics 01, no. 03 (2001): 339–43. http://dx.doi.org/10.1142/s0219493701000151.

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We examine the recurrence time distribution in finite-cell partitions of one-dimensional maps that have a tangent at a marginal fixed point, modeling intermittent chaos. A tangency index α(≥0) is shown to correspond to a power-law tail ~n-2-1/α in the recurrence time distribution whenever α < 1. For α<1, the limit law for sequences of recurrences remains the standard Poisson distribution. At α=1, there is a transition to a Gaussian distribution, and for α>1 the limit law is a stable distribution with exponent 1+α-1.

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6

Meng, Yu, Ying-Cheng Lai, and Celso Grebogi. "Tipping point and noise-induced transients in ecological networks." Journal of The Royal Society Interface 17, no. 171 (2020): 20200645. http://dx.doi.org/10.1098/rsif.2020.0645.

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A challenging and outstanding problem in interdisciplinary research is to understand the interplay between transients and stochasticity in high-dimensional dynamical systems. Focusing on the tipping-point dynamics in complex mutualistic networks in ecology constructed from empirical data, we investigate the phenomena of noise-induced collapse and noise-induced recovery. Two types of noise are studied: environmental (Gaussian white) noise and state-dependent demographic noise. The dynamical mechanism responsible for both phenomena is a transition from one stable steady state to another driven b

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7

Jourdain, Benjamin, and Julien Reygner. "A multitype sticky particle construction of Wasserstein stable semigroups solving one-dimensional diagonal hyperbolic systems with large monotonic data." Journal of Hyperbolic Differential Equations 13, no. 03 (2016): 441–602. http://dx.doi.org/10.1142/s0219891616500144.

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This paper is devoted to the study of diagonal hyperbolic systems in one space dimension, with cumulative distribution functions or, more generally, nonconstant monotonic bounded functions as initial data. Under a uniform strict hyperbolicity assumption on the characteristic fields, we construct a multi-type version of the sticky particle dynamics and we obtain the existence of global weak solutions via a compactness argument. We then derive a [Formula: see text] stability estimate on the particle system which is uniform in the number of particles. This allows us to construct nonlinear semigro

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8

HENZE, CHRIS, and ART WINFREE. "A STABLE KNOTTED SINGULARITY IN AN EXCITABLE MEDIUM." International Journal of Bifurcation and Chaos 01, no. 04 (1991): 891–922. http://dx.doi.org/10.1142/s0218127491000658.

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Numerical studies of an apparently stable knotted singularity are used here to seek out regularities of vortex dynamics in three-dimensional excitable media. Initial conditions were contrived to produce a vortex filament in the form of a trefoil (3:2 torus) knot, using the piecewise linear 'B-kinetics', with excitability parameter 'g' set to 0.9. The simulation was pursued for 3000 time units, or about 125 wave rotations, during which time the knot was observed to rigidly 'precess' about its symmetry axis, completing one turn every 96 wave rotations, and also translate along that same axis, at

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9

Garcia, Mariano, Anindya Chatterjee, Andy Ruina, and Michael Coleman. "The Simplest Walking Model: Stability, Complexity, and Scaling." Journal of Biomechanical Engineering 120, no. 2 (1998): 281–88. http://dx.doi.org/10.1115/1.2798313.

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We demonstrate that an irreducibly simple, uncontrolled, two-dimensional, two-link model, vaguely resembling human legs, can walk down a shallow slope, powered only by gravity. This model is the simplest special case of the passive-dynamic models pioneered by McGeer (1990a). It has two rigid massless legs hinged at the hip, a point-mass at the hip, and infinitesimal point-masses at the feet. The feet have plastic (no-slip, no-bounce) collisions with the slope surface, except during forward swinging, when geometric interference (foot scuffing) is ignored. After nondimensionalizing the governing

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10

Lu, Weiyong, and Changchun He. "Numerical simulation of the laws of fracture propagation of multi-hole linear co-directional hydraulic fracturing." Energy Exploration & Exploitation 39, no. 3 (2021): 903–26. http://dx.doi.org/10.1177/0144598721988993.

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Directional rupture is one of the most important and most common problems related to rock breaking. The goal of directional rock breaking can be effectively achieved via multi-hole linear co-directional hydraulic fracturing. In this paper, the XSite software was utilized to verify the experimental results of multi-hole linear co-directional hydraulic fracturing., and its basic law is studied. The results indicate that the process of multi-hole linear co-directional hydraulic fracturing can be divided into four stages: water injection boost, hydraulic fracture initiation, and the unstable and s

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