On Maximum Norm Convergence of Multigrid Methods for Two-Point Boundary Value Problems

Maximum norm convergence of multigrid methods for elliptic boundary value problems

We consider multigrid methods applied to standard linear finite element discretizations of linear elliptic boundary value problems in 2D. In the multigrid method damped Jacobi or damped Gauss-Seidel is used as a smoother. We prove that the two-grid method with v pre-smoothing iterations has a contraction number with respect to the maximum norm that is (asymptotically) bounded by Cv-~ I1n hkl 2 ...

B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS

In this work the collocation method based on quartic B-spline is developed and applied to two-point boundary value problem in ordinary diferential equations. The error analysis and convergence of presented method is discussed. The method illustrated by two test examples which verify that the presented method is applicable and considerable accurate.

Numerical Methods for Two–Point Boundary Value Problems

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation

Application of variational iteration method for solving singular two point boundary value problems

In this paper, He's highly prolic variational iteration method is applied ef-fectively for showing the existence, uniqueness and solving a class of singularsecond order two point boundary value problems. The process of nding solu-tion involves generation of a sequence of appropriate and approximate iterativesolution function equally likely to converge to the exact solution of the givenproblem w...