HPD-the interval HPD has been devised, usually used, but the amount of calculation is very large for the HPD transfer matrix is always associated with interval.

A general numerical model to identify multi-variables of the unidimensional non-linear inverse problem of heat conduction in transient state is presented by a precise algorithm for direct heat conduction, based on Bregman distances in the construction of regularization terms in Tikhonov’s function.

An application of a self-adaptive precise algorithm in time domain is presented in this paper for solving self-excited vibration problems.

Based on the precise integration method of the exponential matrix, we discuss the solution of the state equations for nonlinear dynamics system governed by the equation =H·v+f(v,t).

To raise the calculation precision of active structural control, the closed-loop and closed-open-loop control algorithms for instantaneous structural optimization were improved based on the active structural control strategy and the precise integration method (PIM).

By introducing a concept of δ-fine partition on infinite interval the(H)-integral of vector-valued functions on infinite interval was made entirely harmonic with that on finite interval.

The proposed algorithm firstly uses the interval method to obtain all small intervals for the global optimization,then employs the Genetic Algorithm to execute the later process.

The interval algorithm for stratified multi-objective optimization;

This algorithm combines the interval algorithm and a genetic algorithm.

With the classical sensitivity analysis method,this paper presents a analytical method which is based on the interval algorithm in the electrical network design.