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Stability of numerical schemes on staggered grids
(JOHN WILEY & SONS LTD, 2008)
This paper considers the stability of explicit, implicit and Crank-Nicolson schemes for the one-dimensional heat equation on a staggered grid. Furthemore, we consider the cases when both explicit and implicit approximations ...
Stability analysis and numerical simulations via fractional calculus for tumor dormancy models
(2019-06-30)
Fractional calculus is a field of mathematics in considerable expansion and has been understood as a tool with a wide range of applications, including in biological systems. Cancer dormancy is a state in which cancer cells ...
Global stability analysis of a fractional differential system in hepatitis B
(2021-02-01)
This paper describes the dynamics of hepatitis B by a fractional-order model in the Caputo sense. The basic results of the fractional hepatitis B model are presented. Two equilibrium point for the model exists, the ...
Numerical multiscale methods
(Wiley-Blackwell, 2012-10-10)
We restrict the variational multiscale method to a class of methods we denote by numerical multiscale methods. Numerical multiscale methods are methods obtained by enriching the piecewise linear functions with special local ...
The stability of the steady motion of a liquid plug in a capillary tube
(American Chemical Society, 2007-12)
In this work, we present a methodology to analyze the stability of the steady-state propagation of a liquid plug in a capillary tube lined with a uniform film of the same liquid. To this end, the steady-state solutions are ...
Long-term evolution and stability of Saturnian small satellites: Aegaeon, Methone, Anthe and Pallene
(2017-09-21)
Aegaeon, Methone, Anthe and Pallene are four Saturnian small moons, discovered by the Cassini spacecraft. Although their orbital characterization has been carried on by a number of authors, their long-term evolution has ...
GENERALIZED FINITE ELEMENT METHOD ON NONCONVENTIONAL HYBRID-MIXED FORMULATION
(WORLD SCIENTIFIC PUBL CO PTE LTDSINGAPORE, 2012)
The generalized finite element method (GFEM) is applied to a nonconventional hybrid-mixed stress formulation (HMSF) for plane analysis. In the HMSF, three approximation fields are involved: stresses and displacements in ...
A Transmission Problem for Euler-Bernoulli beam with Kelvin-Voigt Damping
(Natural Sciences Publishing Corporation, 2011-01-01)
In this work we consider a transmission problem for the longitudinal displacement of a Euler-Bernoulli beam, where one small part of the beam is made of a viscoelastic material with Kelvin-Voigt constitutive relation. We ...
A Transmission Problem for Euler-Bernoulli beam with Kelvin-Voigt Damping
(Natural Sciences Publishing Corporation, 2011-01-01)
In this work we consider a transmission problem for the longitudinal displacement of a Euler-Bernoulli beam, where one small part of the beam is made of a viscoelastic material with Kelvin-Voigt constitutive relation. We ...