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We show stability and consistency of the linear semi-implicit complementary volume numerical scheme for solving the regularized, in the sense of Evans and Spruck, mean curvature flow equation in the level set formulation. The numerical method is based on the finite volume methodology using the so-called complementary volumes to a finite element triangulation. The scheme gives the solution in an efficient and unconditionally stable way.

Stability and continuous dependence of solutions of one-phase Stefan problems for semilinear parabolic equations.

Souplet, Philippe (2002)

Portugaliae Mathematica. Nova Série

Stability and convergence of two discrete schemes for a degenerate solutal non-isothermal phase-field model

Francisco Guillén-González, Juan Vicente Gutiérrez-Santacreu (2009)

ESAIM: Mathematical Modelling and Numerical Analysis

We analyze two numerical schemes of Euler type in time and C0 finite-element type with $ℙ_{1}$ -approximation in space for solving a phase-field model of a binary alloy with thermal properties. This model is written as a highly non-linear parabolic system with three unknowns: phase-field, solute concentration and temperature, where the diffusion for the temperature and solute concentration may degenerate. The first scheme is nonlinear, unconditionally stable and convergent. The other scheme is linear...

Stability and error estimates valid for infinite time, for strongly monotone and infinitely stiff evolution equations

Axelsson, Owe (1986)

Equadiff 6

Stability and instability of equilibria on singular domains

Maria Gokieli, Nicolas Varchon (2009)

Banach Center Publications

We show existence of nonconstant stable equilibria for the Neumann reaction-diffusion problem on domains with fractures inside. We also show that the stability properties of all hyperbolic equilibria remain unchanged under domain perturbation in a quite general sense, covered by the theory of Mosco convergence.

Stability and saddle-point property for a linear autonomous functional parabolic equation

Jaroslav Milota (1986)

Commentationes Mathematicae Universitatis Carolinae

Stability criteria for a class of discrete reaction-diffusion equations.

Medina, Rigoberto (2001)

Applied Mathematics E-Notes [electronic only]

Stability for a diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes

Yanling Tian (2014)

Applications of Mathematics

A diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes is considered. Local stability for each constant steady state is studied by analyzing the eigenvalues. Some simple and easily verifiable sufficient conditions for global stability are obtained by virtue of the stability of the related FDE and some monotonous iterative sequences. Numerical simulations and reasonable biological explanations are carried out to illustrate the main results and the justification...

Stability for approximation methods of the one-dimensional Kobayashi-Warren-Carter system

Hiroshi Watanabe, Ken Shirakawa (2014)

Mathematica Bohemica

A one-dimensional version of a gradient system, known as “Kobayashi-Warren-Carter system”, is considered. In view of the difficulty of the uniqueness, we here set our goal to ensure a “stability” which comes out in the approximation approaches to the solutions. Based on this, the Main Theorem concludes that there is an admissible range of approximation differences, and in the scope of this range, any approximation method leads to a uniform type of solutions having a certain common features. Further,...

Stability for non-autonomous linear evolution equations with $L^{p}$ -maximal regularity

Hafida Laasri, Omar El-Mennaoui (2013)

Czechoslovak Mathematical Journal

We study stability and integrability of linear non-autonomous evolutionary Cauchy-problem $(P) \{\begin{matrix} \dot{u} (t) + A (t) u (t) = f (t) t -a.e. on [0, τ], u (0) = 0, \end{matrix}$ where $A : [0, τ] \to ℒ (X, D)$ is a bounded and strongly measurable function and $X$ , $D$ are Banach spaces such that $D \underset{d}{\to} ↪ X$ . Our main concern is to characterize $L^{p}$ -maximal regularity and to give an explicit approximation of the problem (P).

Stability for semilinear parabolic equations with decaying potentials in Rn and dynamical approach to the existence of ground states

Philippe Souplet, Qi S. Zhang (2002)

Annales de l'I.H.P. Analyse non linéaire

Stability in nonlinear evolution problems by means of fixed point theorems

Jaromír J. Koliha, Ivan Straškraba (1997)

Commentationes Mathematicae Universitatis Carolinae

The stabilization of solutions to an abstract differential equation is investigated. The initial value problem is considered in the form of an integral equation. The equation is solved by means of the Banach contraction mapping theorem or the Schauder fixed point theorem in the space of functions decreasing to zero at an appropriate rate. Stable manifolds for singular perturbation problems are compared with each other. A possible application is illustrated on an initial-boundary-value problem for...

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Displaying 181 – 200 of 317

Stabilité et convergence des méthodes spectrales polynômiales. Application à l'équation d'advection

Stability analysis of a model of atherogenesis: an energy estimate approach. II.

Stability analysis of a model of atherogenesis: an energy estimate approach.

Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure.

Stability and bifurcation problems for reaction-diffusion systems with unilateral conditions

Stability and consistency of the semi-implicit co-volume scheme for regularized mean curvature flow equation in level set formulation