Multi-dimensional interpolation scheme based on Taylor expansion and inter-dimensional point valuing method thereof

The invention relates to a multi-dimensional interpolation scheme based on Taylor expansion and an inter-dimensional point valuing method thereof, and belongs to the field of discrete mathematics application. The method disclosed by the invention comprises an interpolation method, an interpolation table storage method and an interpolation table inter-dimension value taking method, the interpolation method takes multivariate Taylor expansion as a carrier, and the interpolation table storage method is to store data through a two-dimensional interval array and a one-dimensional value domain array. The two-dimensional interval array only stores independent inter-dimensional point values of all dimensions, and the interpolation table inter-dimensional value taking method adopts the steps that the order of an independent variable of each dimension is solved through dimensional analysis of a target function, and the minimum number of inter-dimensional points is selected according to the order. According to the metho