Convergence comparison of several iteration algorithms for the common fixed point problems.
Convergence conditions for Secant-type methods
We provide new sufficient convergence conditions for the convergence of the secant-type methods to a locally unique solution of a nonlinear equation in a Banach space. Our new idea uses recurrent functions, and Lipschitz-type and center-Lipschitz-type instead of just Lipschitz-type conditions on the divided difference of the operator involved. It turns out that this way our error bounds are more precise than earlier ones and under our convergence hypotheses we can cover cases where earlier conditions...
Convergence domains under Zabrejko-Zinčenko conditions using recurrent functions
We provide a semilocal convergence analysis for Newton-type methods using our idea of recurrent functions in a Banach space setting. We use Zabrejko-Zinčenko conditions. In particular, we show that the convergence domains given before can be extended under the same computational cost. Numerical examples are also provided to show that we can solve equations in cases not covered before.
Convergence d'un schéma de minimisation alternée
Convergence d'un schéma de type éléments finis-volumes finis pour un système formé d'une équation elliptique et d'une équation hyperbolique
Convergence d'un schéma décentré amont sur un maillage triangulaire pour un problème hyperbolique linéaire
Convergence issues in the theory and practice of iterative aggregation/disaggregation methods.
Convergence Limits in the Monte Carlo Theory of Integral Equations.
Convergence Near Plane Boundaries of Some Elliptic Difference Schemes.
Convergence of a constrained finite element discretization of the Maxwell Klein Gordon equation
As an example of a simple constrained geometric non-linear wave equation, we study a numerical approximation of the Maxwell Klein Gordon equation. We consider an existing constraint preserving semi-discrete scheme based on finite elements and prove its convergence in space dimension 2 for initial data of finite energy.
Convergence of a constrained finite element discretization of the Maxwell Klein Gordon equation*
As an example of a simple constrained geometric non-linear wave equation, we study a numerical approximation of the Maxwell Klein Gordon equation. We consider an existing constraint preserving semi-discrete scheme based on finite elements and prove its convergence in space dimension 2 for initial data of finite energy.
Convergence of a difference method for a system of first order partial differential equations of hyperbolic type
Convergence of a Discretization Method for Integrodifferential Equations.
Convergence of a dual finite element method in
Convergence of a Finite Difference Method for the Third BVP for Poisson's Equation
Convergence of a finite difference scheme for the third boundary-value problem.
Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation
Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation
The standard discretization of the Stokes and Navier–Stokes equations in vorticity and stream function formulation by affine finite elements is known for its bad convergence. We present here a modified discretization, we prove that the convergence is improved and we establish a priori error estimates.
Convergence of a finite element method based on the dual variational formulation
Convergence of a finite volume scheme for an elliptic-hyperbolic system