Error Estimates for Semidiscrete Galerkin Type Approximations for Semilinear Evolution Equations with Nonsmooth Initial Data.
Error estimates for some quasi-interpolation operators
We derive explicit bounds on the constants in error estimates for two quasi-interpolation operators which are modifications of the “classical” Clément-operator. These estimates are crucial for making explicit the constants which appear in popular a posteriori error estimates. They are also compared with corresponding estimates for the standard nodal interpolation operator.
Error estimates of a numerical method for a class of nonlinear evolution equations
Error minimization in approximate solution of integral equations
Error-estimates for the method of least squares of finding eigenvalues and eigenfunctions
Error-estimates for the Ritz's method of finding eigenvalues and eigenfunctions
Esquisse d'une théorie décompositionnelle
Estimates for spline projections
Estimating Errors of Numerical Approximation for Analytic Functions.
Estimation of discontinuous parameters in general nonautonomous parabolic systems
Étude mathématique d'un modèle de flamme laminaire sans température d'ignition : I - cas scalaire
Exact Bounds for the Solution Branches of Nonlinear Eigenvalue Problems.
Expanding the applicability of two-point Newton-like methods under generalized conditions
We use a two-point Newton-like method to approximate a locally unique solution of a nonlinear equation containing a non-differentiable term in a Banach space setting. Using more precise majorizing sequences than in earlier studies, we present a tighter semi-local and local convergence analysis and weaker convergence criteria. This way we expand the applicability of these methods. Numerical examples are provided where the old convergence criteria do not hold but the new convergence criteria are satisfied....
Exponentially convergent parallel discretization methods for the first order evolution equations.
Extended Iterative Methods for the Solution of Operator Equations.
Extending the applicability of Newton's method using nondiscrete induction
We extend the applicability of Newton's method for approximating a solution of a nonlinear operator equation in a Banach space setting using nondiscrete mathematical induction concept introduced by Potra and Pták. We obtain new sufficient convergence conditions for Newton's method using Lipschitz and center-Lipschitz conditions instead of only the Lipschitz condition used in F. A. Potra, V. Pták, Sharp error bounds for Newton's process, Numer. Math., 34 (1980), 63–72, and F. A. Potra, V. Pták, Nondiscrete...
Extension of Newton's Method to Nonlinear Functions with Values in a Cone.
External approximation of bifurcation problems
External approximation of eigenvalue problems in Banach spaces
Extrapolation of S. O. R. iterations