Stability in the wave equation coupled with heat flow.
Stability of a family of multi-time-level difference schemes for the advection equation.
Stability of a finite element method for 3D exterior stationary Navier-Stokes flows
We consider numerical approximations of stationary incompressible Navier-Stokes flows in 3D exterior domains, with nonzero velocity at infinity. It is shown that a P1-P1 stabilized finite element method proposed by C. Rebollo: A term by term stabilization algorithm for finite element solution of incompressible flow problems, Numer. Math. 79 (1998), 283–319, is stable when applied to a Navier-Stokes flow in a truncated exterior domain with a pointwise boundary condition on the artificial boundary....
Stability of a numerical method for solving the 3 D inverse scattering problem with fixed energy data.
Stability of a second order of accuracy difference scheme for hyperbolic equation in a Hilbert space.
Stability of a spline collocation method for strongly elliptic multidimensional singular integral equations.
Stability of ALE discontinuous Galerkin method with Radau quadrature
We assume the nonlinear parabolic problem in a time dependent domain, where the evolution of the domain is described by a regular given mapping. The problem is discretized by the discontinuous Galerkin (DG) method modified by the right Radau quadrature in time with the aid of Arbitrary Lagrangian-Eulerian(ALE) formulation. The sketch of the proof of the stability of the method is shown.
Stability of ALE space-time discontinuous Galerkin method
We assume the heat equation in a time dependent domain, where the evolution of the domain is described by a given mapping. The problem is discretized by the discontinuous Galerkin (DG) method in space as well as in time with the aid of Arbitrary Lagrangian-Eulerian (ALE) method. The sketch of the proof of the stability of the method is shown.
Stability of discrete shocks for difference approximations to systems of conservation laws.
Stability of Explicit Time Discretizations for Solving Initial Value Problems.
Stability of Explicit Time Discretizations for Solving Initial Value Problems.
Stability of Fast Algorithms for Matrix Multiplication.
Stability of finite difference schemes for certain problems in biology
We consider a generalized 1-D von Foerster equation. We present two discretization methods for the initial value problem and study stability of finite difference schemes on regular meshes.
Stability of flat interfaces during semidiscrete solidification
The stability of flat interfaces with respect to a spatial semidiscretization of a solidification model is analyzed. The considered model is the quasi-static approximation of the Stefan problem with dynamical Gibbs–Thomson law. The stability analysis bases on an argument developed by Mullins and Sekerka for the undiscretized case. The obtained stability properties differ from those with respect to the quasi-static model for certain parameter values and relatively coarse meshes. Moreover, consequences...
Stability of flat interfaces during semidiscrete solidification
The stability of flat interfaces with respect to a spatial semidiscretization of a solidification model is analyzed. The considered model is the quasi-static approximation of the Stefan problem with dynamical Gibbs–Thomson law. The stability analysis bases on an argument developed by Mullins and Sekerka for the undiscretized case. The obtained stability properties differ from those with respect to the quasi-static model for certain parameter values and relatively coarse meshes. Moreover,...
Stability of iterative schemes for nonselfadjoint equations
Stability of lagrangian duality for nonconvex quadratic programming. Solution methods and applications in computer vision
Stability of microstructure for tetragonal to monoclinic martensitic transformations
Stability of microstructure for tetragonal to monoclinic martensitic transformations
We give an analysis of the stability and uniqueness of the simply laminated microstructure for all three tetragonal to monoclinic martensitic transformations. The energy density for tetragonal to monoclinic transformations has four rotationally invariant wells since the transformation has four variants. One of these tetragonal to monoclinic martensitic transformations corresponds to the shearing of the rectangular side, one corresponds to the shearing of the square base, and one corresponds to...
Stability of numerical methods for ordinary stochastic differential equations along Lyapunov-type and other functions with variable step sizes.