Stability analysis of -methods for neutral multidelay integrodifferential system.
Stability and Accuracy for Implicit Semidiscretizations of Hyperbolic Problems.
Stability and Accuracy of Time Discretizations for Initial Value Problems
Stability and asymptotic properties of dynamical systems in the plane
Stability and averaging properties of stochastic evolution equations
Stability and B-Convergence of Linearly Implicit Runge-Kutta Methods.
Stability and consistency of the semi-implicit co-volume scheme for regularized mean curvature flow equation in level set formulation
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 convergence of an effective numerical method for the time-space fractional Fokker-Planck equation with a nonlinear source term.
Stability and Convergence of the Difference Schemes for Equations of Isentropic Gas Dynamics in Lagrangian Coordinates
Stability and convergence of two discrete schemes for a degenerate solutal non-isothermal phase-field model
We analyze two numerical schemes of Euler type in time and C0 finite-element type with -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 Convergence Rates in Lp for Certain Difference Schemes.
Stability and error estimates valid for infinite time, for strongly monotone and infinitely stiff evolution equations
Stability and local error of difference methods for the solution of the ordinary differential equation of the first order
Stability and Robustness of Collocation Methods for Abel-Type Integral Equations.
Stability and sensivity of Darboux transformation without parameter.
Stability, Boundedness and Existenceof Periodic Solutions to Certain Third Order Nonlinear Differential Equations
In this paper, criteria are established for uniform stability, uniform ultimate boundedness and existence of periodic solutions for third order nonlinear ordinary differential equations. In the investigation Lyapunov’s second method is used by constructing a complete Lyapunov function to obtain our results. The results obtained in this investigation complement and extend many existing results in the literature.
Stability criteria for a class of discrete reaction-diffusion equations.
Stability criteria of linear neutral systems with distributed delays
In this paper, stability of linear neutral systems with distributed delay is investigated. A bounded half circular region which includes all unstable characteristic roots, is obtained. Using the argument principle, stability criteria are derived which are necessary and sufficient conditions for asymptotic stability of the neutral systems. The stability criteria need only to evaluate the characteristic function on a straight segment on the imaginary axis and the argument on the boundary of a bounded...
Stability for a certain class of numerical methods – abstract approach and application to the stationary Navier-Stokes equations
We consider some abstract nonlinear equations in a separable Hilbert space and some class of approximate equations on closed linear subspaces of . The main result concerns stability with respect to the approximation of the space . We prove that, generically, the set of all solutions of the exact equation is the limit in the sense of the Hausdorff metric over of the sets of approximate solutions, over some filterbase on the family of all closed linear subspaces of . The abstract results are...
Stability for nonlinear 2-D multiresolution: The approach of A. Harten.