Global Extrapolation of a First Order Splitting Method

A Finite Element Splitting Extrapolation for Second Order Hyperbolic Equations

Splitting extrapolation is an efficient technique for solving large scale scientific and engineering problems in parallel. This article discusses a finite element splitting extrapolation for second order hyperbolic equations with time-dependent coefficients. This method possesses a higher degree of parallelism, less computational complexity, and more flexibility than Richardson extrapolation wh...

A general first-order global sensitivity analysis method

Fourier amplitude sensitivity test (FAST) is one of the most popular global sensitivity analysis techniques. The main mechanism of FAST is to assign each parameter with a characteristic frequency through a search function. Then, for a specific parameter, the variance contribution can be singled out of the model output by the characteristic frequency. Although FAST has been widely applied, there...

A method for solving first order fuzzy differential equation

The Collocation Method and the Splitting Extrapolation for the First Kind of Boundary Integral Equations on Polygonal Regions

In this paper, the collocation methods are used to solve the boundary integral equations of the first kind on the polygon. By means of Sidi’s periodic transformation and domain decomposition, the errors are proved to possess the multi-parameter asymptotic expansion at the interior point with the powers hi (i = 1, ..., d), which means that the approximations of higher accuracy and a posteriori e...

A high order splitting method for time-dependent domains

preprint numerics no. 1/2008 norwegian university of science and technology trondheim, norway We present a temporal splitting scheme for the semi-discrete convection-diffusion equation and the semi-discrete incompressible Navier-Stokes equations in time-depedent geometries. The proposed splitting scheme can be considered as an extension of the OIF-method proposed in [22] in the sense that it ca...