interpolation problem
1.The interpolation spaces between Banach space valued regular martingale Hardy and BMO spaces are identified, moreover, as an application of which, the adjoint problem of the interpolation spaces will be investigated.
2.An obvious convergence improvement and extension of the design space were showed in the optimizing progress via a numerical example. Joined with one dimensional searching technology (quadratic interpolation method), interior penalty function method and DFP method (variable metric method ) were used to convert constrained optimization problem into sequence unconstrained optimization problem.
3.In this paper the problem of cubic spline interpolation for derivative values is discussed. It is to find the interpolation function for a given set of values of an independent variable a=x_0
4.The famous Duncan-Chang model is adopted to make nonlinear numerical analysis on Biot?s consolidation problem by a new type of meshless method,the radial point interpolation method with unequal- rank polynomial basis (URPIM).
5.The key problem of vector interpolation and fusion imaging in the process of acceleration vector field reconstruction is solved. The 3D acceleration field of heart movement and anatomical structure is reconstructed separately from the original tissue Doppler acceleration images and showed in the same field.
6.In light of the problem of the precision of flood forecasting being influenced by the data errors of rainfall and water stage caused by the failures of the communication and the relevant equipments of the gauging stations concerned, the techniques for the automatic hydrologic data collection and transmission system such as data extraction, examination of rationality, error identification, rainfall interpolation and the intelligent error correction are studied based on the analysis on the cause of the errors occurred in the system.
7.The data used in the risk assessment of regional natural disasters imply the information not only on time but also on space.When the spatial information of the data is incomplete,it is necessary to optimize the data in order to reduce the error of the assessment.In the counterpart of the paper in last issue of the Journal the theoretical investigation of the problem was carried out and the imcomplete information occured in risk assessment of regionalnatural disasters were class ifiedinto two types with treatment of interpolation model and correcting model res pectively.The former model is for insufficiency of the data and the later is for the case in which the accuracy of the data is not enough.Inthispaper,taking the flood sustained by rural area plant in Hunan Province as an example,it is explained how to use the models to calculate.The models are examined as well.
