The contraction number of a multigrid method with mesh ratio 2 for solving Poisson's equation

Solving Mesh Eigenproblems with Multigrid Efficiency

Multigrid techniques can successfully be applied to mesh eigenvalue problems for elliptic differential operators. They allow to compute a few of the smallest eigenvalues and the eigenfunctions within optimal or quasi-optimal computational complexity. A review is given on three multigrid solvers for elliptic eigenproblems. Numerical results are presented for a simple model problem.

A method for solving first order fuzzy differential equation

A Numerical Method for Solving Stochastic Volterra-Fredholm Integral Equation

In this paper, we propose a numerical method based on the generalized hat functions (GHFs) and improved hat functions (IHFs) to find numerical solutions for stochastic Volterra-Fredholm integral equation. To do so, all known and unknown functions are expanded in terms of basic functions and replaced in the original equation. The operational matrices of both basic functions are calculated and em...

A posteriori $ L^2(L^2)$-error estimates with the new version of streamline diffusion method for the wave equation

In this article, we study the new streamline diffusion finite element for treating the linear second order hyperbolic initial-boundary value problem. We prove a posteriori $ L^2(L^2)$ and error estimates for this method under minimal regularity hypothesis. Test problem of an application of the wave equation in the laser is presented to verify the efficiency and accuracy of the method.

The variational iteration method for solving Nagumo telegraph equation