A Comparative Study of Low‐Dissipation Numerical Schemes for Hyperbolic Conservation Laws
ABSTRACT This work provides a comparative assessment of several low‐dissipation numerical schemes for hyperbolic conservation laws, highlighting their performance relative to the classical Harten‐Lax‐van Leer (HLL) schemes. The schemes under consideration include the classical Harten‐Lax‐van Leer‐Contact (HLLC), the recently proposed TV flux splitting,
Shaoshuai Chu, Michael Herty
wiley +1 more source
Oscillations of advanced difference equations with variable arguments
Consider the first-order advanced difference equation of the form \begin{equation*} \nabla x(n)-p(n)x(\mu (n))=0\text{, }\ n\geq 1\, [\Delta x(n)-p(n)x(\nu (n))=0, n\geq 0], \end{equation*} where $\nabla $ denotes the backward difference operator ...
George Chatzarakis, Ioannis Stavroulakis
doaj +1 more source
Speech Neurophysiology in Realistic Contexts: Big Hype or Big Leap?
Speech neurophysiology is moving from controlled listening tasks to dynamic, socially rich interactions, challenging traditional methods. This shift promises deeper insights into how the brain processes and represents speech in real‐world contexts, while introducing new analytical complexities.
Giovanni M. Di Liberto, Emily Y. J. Ip
wiley +1 more source
Oscillations of nonlinear difference equations with deviating arguments [PDF]
This paper is concerned with the oscillatory behavior of first-order nonlinear difference equations with variable deviating arguments. The corresponding difference equations of both retarded and advanced type are studied.
George E. Chatzarakis, Julio G. Dix
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Local Field Aperiodic Spectral Power Modulated by Deep Brain Stimulation in Parkinson's Disease
Abstract Background Aperiodic spectral broadband power has been described recently as reflecting Parkinson's disease (PD) severity. It has therefore become an increasing focus of research interest in the context of the new adaptive deep brain stimulation (DBS) approach.
Martin Lamoš +6 more
wiley +1 more source
Oscillations of differential equations generated by several deviating arguments
Sufficient conditions, involving limsup and liminf, for the oscillation of all solutions of differential equations with several not necessarily monotone deviating arguments and nonnegative coefficients are established.
George E Chatzarakis, Tongxing Li
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On the Nonoscillation of Second-Order Neutral Delay Differential Equation with Forcing Term
This paper is concerned with nonoscillation of second-order neutral delay differential equation with forcing term. By using contraction mapping principle, some sufficient conditions for the existence of nonoscillatory solution are established.
Jin-Zhu Zhang +5 more
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Oscillations of differential equations with non-monotone deviating arguments
The oscillatory behavior of the solutions to a differential equation with several non-monotone arguments and nonnegative coefficients is studied, and some new oscillation criteria are given.
George E. Chatzarakis +2 more
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A New Adaptive Fuzzy Logic Controller Configuration for Control Systems Design
Adaptive fuzzy logic controller as a potential control scheme is introduced • Nonlinear gains based on tunable hyperbolic functions are used as input SFs • SFS algorithm is utilised for optimal design of controller parameters • Performance gained is explored on various test systems with and w/o dead time • A comparison with the cutting‐edge approaches ...
Emre Çelik
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Monotonicity conditions in oscillation to superlinear differential equations
We consider the second order differential equation \[ \bigl(a(t)|x^{\prime}|^{\alpha}\operatorname{sgn\,}x^{\prime}\bigr)^{\prime }+b(t)|x|^{\beta}\operatorname{sgn\,}x=0 \] in the super-linear case ...
Zuzana Dosla, Mauro Marini
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