The Residual Distribution (RD) schemes are an alternative to standard high order accurate finite volume schemes. They have several advantages: a better accuracy, a much more compact stencil, easy parallelization. However, they face several problems, at least for steady problems which are the only cases considered here. The solution is obtained via an iterative method. The iterative convergence ...

We conduct experimental study on numerical solution of the two dimensional convection-diiusion equation discretized by three nite diierence schemes: the traditional central diier-ence scheme, the standard upwind scheme and the fourth-order compact scheme. We study the computed accuracy achievable by each scheme, the algebraic properties of the coeecient matrices arising from diierent schemes an...

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Motion estimation and compensation is an essential part of existing video coding systems. The mesh-based motion estimation (MME) produces smoother motion field, better subjective quality (free from blocking artifacts), and higher peak signal-to-noise ratio (PSNR) in many cases, especially at low bitrate video communications, compared to the conventional block matching algorithm (BMA). Howev...

This paper deals with two computationally efficient iterative methods for determining the response of nonclassically damped dynamic systems. Rigorous analytical convergence results related to these iterative methods are provided. Sufficient conditions under which these two iterative schemes are convergent are derived. Three different kinds of damping matrices, namely, (i) strongly diagonally do...

The construction of derivative-free iterative methods for approximating multiple roots a nonlinear equation is relatively new line research. This paper presents novel family one-parameter second-order techniques. Our schemes are free from derivatives and have been designed to find (m≥2). techniques involve the weight function approach. convergence analysis presented in main theorem. In addition...