On the Solutions to Polynomial Systems Obtained by Homotopy Methods.
On the solvability of the non-homogeneous potential problem at a corner singularity
On the Stability of Backward Differentiation Methods.
On the stability of Bravais lattices and their Cauchy–Born approximations
We investigate the stability of Bravais lattices and their Cauchy–Born approximations under periodic perturbations. We formulate a general interaction law and derive its Cauchy–Born continuum limit. We then analyze the atomistic and Cauchy–Born stability regions, that is, the sets of all matrices that describe a stable Bravais lattice in the atomistic and Cauchy–Born models respectively. Motivated by recent results in one dimension on the stability of atomistic/continuum coupling methods, we analyze...
On the stability of Bravais lattices and their Cauchy–Born approximations*
We investigate the stability of Bravais lattices and their Cauchy–Born approximations under periodic perturbations. We formulate a general interaction law and derive its Cauchy–Born continuum limit. We then analyze the atomistic and Cauchy–Born stability regions, that is, the sets of all matrices that describe a stable Bravais lattice in the atomistic and Cauchy–Born models respectively. Motivated by recent results in one dimension on the stability of atomistic/continuum coupling methods,...
On the stability of difference schemes for nonlinear elliptic differential equations with boundary conditions of Dirichlet type
On the Stability of Finite Numerical Procedures.
On the Stability of Jungck–Mann, Jungck–Krasnoselskij and Jungck Iteration Processes in Arbitrary Banach Spaces
In this paper, we establish some stability results for the Jungck–Mann, Jungck–Krasnoselskij and Jungck iteration processes in arbitrary Banach spaces. These results are proved for a pair of nonselfmappings using the Jungck–Mann, Jungck–Krasnoselskij and Jungck iterations. Our results are generalizations and extensions to a multitude of stability results in literature including those of Imoru and Olatinwo [8], Jungck [10], Berinde [1] and many others.
On the stability of numerical methods for nonlinear Volterra integral equations.
On the stability of Runge-Kutta methods for delay integral equations.
On the stability of solutions of a multipoint boundary value problem for a system of generalized ordinary differential equations.
On the stability of the ALE space-time discontinuous Galerkin method for nonlinear convection-diffusion problems in time-dependent domains
The paper is concerned with the analysis of the space-time discontinuous Galerkin method (STDGM) applied to the numerical solution of the nonstationary nonlinear convection-diffusion initial-boundary value problem in a time-dependent domain formulated with the aid of the arbitrary Lagrangian-Eulerian (ALE) method. In the formulation of the numerical scheme we use the nonsymmetric, symmetric and incomplete versions of the space discretization of diffusion terms and interior and boundary penalty....
On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations
We consider the coupling between three-dimensional (3D) and one-dimensional (1D) fluid-structure interaction (FSI) models describing blood flow inside compliant vessels. The 1D model is a hyperbolic system of partial differential equations. The 3D model consists of the Navier-Stokes equations for incompressible Newtonian fluids coupled with a model for the vessel wall dynamics. A non standard formulation for the Navier-Stokes equations is adopted to have suitable boundary conditions for the...
On the Stability of the Functional Quadratic on A-orthogonal Vectors
On the stability of the linear delay differential and difference equations.
On the Stability of the Ritz Procedure for Nonlinear Problems.
On the stability of the Ritz procedure for nonlinear two-point boundary value problems
On the Stability Properties of Brown's Multistep Multiderivative Methods.
On the Steps of Convergence of Approximate Eigenvectors in the Rayleigh-Schrödinger Series.
On the stochastic regularity of sequence transformations operating in a Banach space