Results 31 to 40 of about 159,157 (335)

Second-order difference scheme for hyperbolic equations with unbounded delay

Современная математика: Фундаментальные направления
The present paper is devoted to the study the initial value problem for the hyperbolic equation with unbounded time delay term\( \begin{equation*} \begin{cases} \dfrac{d^{2}v(t)}{dt^{2}}+A^{2}v(t)=a\left( \dfrac{dv(t-\omega )}{dt} +Av(t-\omega )\right)
A. Ashyralyev
doaj   +1 more source

Mixed Hyperbolic - Second-Order Parabolic Formulations of General Relativity

, 2008
Two new formulations of general relativity are introduced. The first one is a parabolization of the Arnowitt, Deser, Misner (ADM) formulation and is derived by addition of combinations of the constraints and their derivatives to the right-hand-side of ...
B. Gustafsson, Heinz-O. Kreiss, R. Arnowitt, R. Courant, Robert D. Richtmyer, Vasileios Paschalidis   +5 more
core   +1 more source

A class of second-order geometric quasilinear hyperbolic PDEs and their application in imaging science [PDF]

, 2019
In this paper, we study damped second-order dynamics, which are quasilinear hyperbolic partial differential equations (PDEs). This is inspired by the recent development of second-order damping systems for accelerating energy decay of gradient flows.
Dong, Guozhi, Hintermüller, Michael, Zhang, Ye   +2 more
core   +3 more sources

Mixed problem for a third order parabolic-hyperbolic model equation

Қарағанды университетінің хабаршысы. Математика сериясы
In 1978, the journal Differential Equations published an article by A.M. Nakhushev, that presented a method for correctly formulating a boundary value problem for a class of second-order parabolic-hyperbolic equations in an arbitrarily bounded domain ...
Zh.A. Balkizov
doaj   +1 more source

Finite Difference Method for Hyperbolic Equations with the Nonlocal Integral Condition

Discrete Dynamics in Nature and Society, 2011
The stable difference schemes for the approximate solution of the nonlocal boundary value problem for multidimensional hyperbolic equations with dependent in space variable coefficients are presented.
Allaberen Ashyralyev, Necmettin Aggez
doaj   +1 more source

The remarkable effectiveness of time-dependent damping terms for second order evolution equations [PDF]

, 2015
We consider a second order linear evolution equation with a dissipative term multiplied by a time-dependent coefficient. Our aim is to design the coefficient in such a way that all solutions decay in time as fast as possible.
Ghisi, Marina, Gobbino, Massimo, Haraux, Alain   +2 more
core   +4 more sources

Predicting and Comparing the Subjective Health Experience of Older Cancer Survivors and Non‐Cancer Survivors: A Modeling Approach

Aging and Cancer, EarlyView.
This study underscores the significant influence of frailty and vitality on the subjective health experience of older cancer survivors with acceptance and control emerging as salient mediators. These findings affirm the conceptual and empirical robustness of the model highlighting its potential utility in shaping future interventions for older cancer ...
Damien S. E. Broekharst, Sjaak Bloem, Eline J. Mertens, Nathascha Hanzen, Michel van Agthoven   +4 more
wiley   +1 more source

Numerical stability for finite difference approximations of Einstein's equations

, 2006
We extend the notion of numerical stability of finite difference approximations to include hyperbolic systems that are first order in time and second order in space, such as those that appear in Numerical Relativity. By analyzing the symbol of the second
Alcubierre, Anderson, Arnowitt, Baumgarte, Beyer, Bona, Bona, Calabrese, Calabrese, Frittelli, Frittelli, G. Calabrese, Gundlach, Gundlach, Gustafsson, I. Hinder, Kidder, Knapp, Kreiss, Kreiss, Kreiss, Kreiss, Nagy, Richtmyer, S. Husa, Sarbach, Shibata, Szilágyi, Szilágyi, Teukolsky   +29 more
core   +1 more source

Diffusion and wave behaviour in linear Voigt model [PDF]

, 2002
A boundary value problem related to a third- order parabolic equation with a small parameter is analized. This equation models the one-dimensional evolution of many dissipative media as viscoelastic fluids or solids, viscous gases, superconducting ...
Barenblatt, Barone, Cousin, Cousin, D'Acunto, D'Acunto, De Angelis, Flavin, Joseph, Kawashima, Kozhanov, Kozhanov, Lamb, Maslov, Mitrinovic, Monica De Angelis, Morrison, Morro, Nardini, Nayfey, Pasquale Renno, Renno, Renno, Rivera, Shibata   +24 more
core   +2 more sources

Use of Symptomatic Drug Treatment for Fatigue in Multiple Sclerosis and Patterns of Work Loss

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To describe the use of central stimulants and amantadine for fatigue in MS and evaluate a potential association with reduced work loss in people with MS. Methods We conducted a nationwide, matched, register‐based cohort study in Sweden (2006 to 2023) using national registers with prospective data collection.
Simon Englund, Johan Reutfors, Thomas Frisell, Fredrik Piehl   +3 more
wiley   +1 more source