Results 11 to 20 of about 224,593 (278)

Hyperbolic Methods for Einstein's Equations

open access: yesLiving Reviews in Relativity, 1998
I review evolutionary aspects of general relativity, in particular those related to the hyperbolic character of the field equations and to the applications or consequences that this property entails.
Reula Oscar
doaj   +2 more sources

An Approach for the Generation of an Nth-Order Chaotic System with Hyperbolic Sine

open access: yesEntropy, 2018
Chaotic systems with hyperbolic sine nonlinearity have attracted the attention of researchers in the last two years. This paper introduces a new approach for generating a class of simple chaotic systems with hyperbolic sine.
Jizhao Liu   +4 more
doaj   +1 more source

Constructing hyperbolic systems in the Ashtekar formulation of general relativity [PDF]

open access: yes, 2000
Hyperbolic formulations of the equations of motion are essential technique for proving the well-posedness of the Cauchy problem of a system, and are also helpful for implementing stable long time evolution in numerical applications.
Alcubierre M.   +8 more
core   +2 more sources

Synchronization of oscillators with hyperbolic chaotic phases [PDF]

open access: yesИзвестия высших учебных заведений: Прикладная нелинейная динамика, 2021
Topic and aim. Synchronization in populations of coupled oscillators can be characterized with order parameters that describe collective order in ensembles.
Pikovsky, A. S.
doaj   +1 more source

Fractional-hyperbolic systems [PDF]

open access: yesFractional Calculus and Applied Analysis, 2013
Final version.
openaire   +3 more sources

First-order symmetrizable hyperbolic formulations of Einstein's equations including lapse and shift as dynamical fields [PDF]

open access: yes, 2002
First-order hyperbolic systems are promising as a basis for numerical integration of Einstein's equations. In previous work, the lapse and shift have typically not been considered part of the hyperbolic system and have been prescribed independently. This
Arnowitt R   +12 more
core   +2 more sources

Modellierung und Derivation in der Phraseologie. Der Fall der hyperbolischen Verbalphraseme im Deutschen [PDF]

open access: yesAcademic Journal of Modern Philology, 2023
The paper deals with selected hyperbolic verbal phrasemes of German and their formation mechanisms. Hyperbolic metaphor and hyperbole are present as semantic rhetorical foundations of the formation of the studied phrasemes and are not only based on ...
Barbara Komenda Earle
doaj   +1 more source

A Theoretical Framework for Lagrangian Descriptors [PDF]

open access: yes, 2017
This paper provides a theoretical background for Lagrangian Descriptors (LDs). The goal of achieving rigourous proofs that justify the ability of LDs to detect invariant manifolds is simplified by introducing an alternative definition for LDs.
Balibrea-Iniesta, Francisco   +4 more
core   +3 more sources

A unified IMEX Runge-Kutta approach for hyperbolic systems with multiscale relaxation [PDF]

open access: yes, 2017
In this paper we consider the development of Implicit-Explicit (IMEX) Runge-Kutta schemes for hyperbolic systems with multiscale relaxation. In such systems the scaling depends on an additional parameter which modifies the nature of the asymptotic ...
Boscarino, S., Pareschi, L., Russo, G.
core   +2 more sources

The analysis of gas dynamics equations with initial and boundary conditions and the construction of the corresponding averaged system

open access: yesLietuvos Matematikos Rinkinys, 2013
In this paper hyperbolic system of the first order gas dynamics PDE with initial and boundary conditions is studied. The aim of the paper is to construct the averaged system of differential equations in order to find the uniformly valid in a large domain
Aleksandras Krylovas, Rima Kriauzienė
doaj   +1 more source

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