Exponentially fitted spline approximation method for solving selfadjoint singular perturbation problems.
Extended Iterative Methods for the Solution of Operator Equations.
Extending Babuška-Aziz's theorem to higher-order Lagrange interpolation
We consider the error analysis of Lagrange interpolation on triangles and tetrahedrons. For Lagrange interpolation of order one, Babuška and Aziz showed that squeezing a right isosceles triangle perpendicularly does not deteriorate the optimal approximation order. We extend their technique and result to higher-order Lagrange interpolation on both triangles and tetrahedrons. To this end, we make use of difference quotients of functions with two or three variables. Then, the error estimates on squeezed...
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 de la méthode Procuste à la comparaison de nuages de points situés dans des espaces de dimensions différentes
Extension of Newton's Method to Nonlinear Functions with Values in a Cone.
Extensions from the Sobolev spaces satisfying prescribed Dirichlet boundary conditions
Extensions from into (where ) are constructed in such a way that extended functions satisfy prescribed boundary conditions on the boundary of . The corresponding extension operator is linear and bounded.
Extensions of the HHT- method to differential-algebraic equations in mechanics.
Exterior problem of the Darwin model and its numerical computation
In this paper, we study the exterior boundary value problems of the Darwin model to the Maxwell’s equations. The variational formulation is established and the existence and uniqueness is proved. We use the infinite element method to solve the problem, only a small amount of computational work is needed. Numerical examples are given as well as a proof of convergence.
Exterior problem of the Darwin model and its numerical computation
In this paper, we study the exterior boundary value problems of the Darwin model to the Maxwell's equations. The variational formulation is established and the existence and uniqueness is proved. We use the infinite element method to solve the problem, only a small amount of computational work is needed. Numerical examples are given as well as a proof of convergence.
External approximation of bifurcation problems
External approximation of eigenvalue problems in Banach spaces
External approximation of first order variational problems via W-1,p estimates
Here we present an approximation method for a rather broad class of first order variational problems in spaces of piece-wise constant functions over triangulations of the base domain. The convergence of the method is based on an inequality involving norms obtained by Nečas and on the general framework of Γ-convergence theory.
External finite element approximations of eigenvalue problems
Extraneous Fixed Points, Basin Boundaries and Chaotic Dynamics for Schröder and König Rational Iteration Functions.
Extrapolated alternating direction implicit methods for solving the biharmonic equation in three space variables
Extrapolated Gauss-Seidel I and SOR Methods for Least-Squares Problems.
Extrapolated positive definite and positive semi-definite splitting methods for solving non-Hermitian positive definite linear systems
Recently, Na Huang and Changfeng Ma in (2016) proposed two kinds of typical practical choices of the PPS method. In this paper, we extrapolate two versions of the PPS iterative method, and we introduce the extrapolated Hermitian and skew-Hermitian positive definite and positive semi-definite splitting (EHPPS) iterative method and extrapolated triangular positive definite and positive semi-definite splitting (ETPPS) iterative method. We also investigate convergence analysis and consistency of the...
Extrapolation Applied to Certain Discretization Methods Solving the Initial Value Problem for Hyperbolic Differential Equations.
Extrapolation Applied to the Method of Characteristics for a first Order System of Two Partial Differential Equations. Part One : The Initial Value Problem.