Adaptive Interpolation Method Research Articles

A study on high efficiency coding of HDTV at 50 Mbps

High-efficiency techniques for encoding HDTV signals at 50 Mb/s are proposed. An adaptive chrominance interpolation method and an adaptive chrominance decimation method are discussed. It is shown that the distortion of decimation can be decreased and visible distortion can be reduced. Some pictures using these schemes were encoded by computer simulation, and it was confirmed that the processed pictures are adequate for consumer use. >

Analysis of stochastic systems in continuum physics: Some developments of the stochastic adaptive interpolation method

This paper deals with the analysis of stochastic systems in continuum physics which are modelled by a random partial differential equation using the so called stochastic adaptive interpolation method. This paper proposes some developments of the method, mainly oriented towards the solution of stochastic inverse problems.

A type insensitive code for delay differential equations basing on adaptive and explicit Runge-Kutta interpolation methods

For the numerical solution of initial value problems for delay differential equations with constant delay a partitioned Runge-Kutta interpolation method is studied which integrates the whole system either as a stiff or as a nonstiff one in subintervals. This algorithm is based on an adaptive Runge-Kutta interpolation method for stiff delay equations and on an explicit Runge-Kutta interpolation method for nonstiff delay equations. The retarded argument is approximated by appropriate Lagrange or Hermite interpolation. The algorithm takes advantage of the knowledge of the first points of jump discontinuities. An automatic stiffness detection and a stepsize control are presented. Finally, numerical tests and comparisons with other methods are made on a great number of problems including real-life problems.

Random heat equation: Solutions by the stochastic adaptive interpolation method

The one-dimensional nonlinear heat equation is considered with stochastic coefficients and initial/boundary values in a finite strip and in the half-space. Approximated solutions are obtained by the stochastic adaptive interpolation method which corresponds first to transforming the original partial differential equation into a system of ordinary differential equations via a generalization to the stochastic case of the Bellman's differential quadrature method. The system of ordinary differential equations is then solved by a continuous approximation following by Adomian's decomposition method, and the solutions are compared with those obtained by more standard numerical techniques.