Computer-simulation results related to the TNN model substantiate that the timing neural network could handle well the inverse-interpolation problems of one-to-one and multiple-to-one mappings. Keywords: neural networks, weights direct determination, inverse problems, timing neural network

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The modules related to topographically radiometric correction, atmospheric water vapor and aerosol retrieval, look-up table creation and interpolation technique etc.

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Based on a modified mesh-independent filtering scheme, a new interpolation function used to construct the topological variable field is presented.

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Also, discussed is the calculations of transfinite interpolation and triangular surfaces, and their application in CAX.

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In every time-marching step, we must regenerate the mesh. In order to improve the efficiency of the mesh generation, we employ the transfinite interpolation method.

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The main aspects of this dissertation are as follows: 1. Employing the moving grid technique, a 3-D moving grid based on the transfinite interpolation is developed. This grid has better adaptation than the deforming grid for flapping wing.

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The orthogonality near boundaries was realized by introducing the first-order derivatives of the boundary curves into the transfinite interpolation function.

為提高三維流動傳熱控制方程組離散化所得的非線性代數(shù)方程組的求解效率，引入了SIP方法和共軛梯度方法www.九久久。

The curved grids are generated by using the transfinite interpolation and the so-called multiblock techniques that originally developed for computation fluid dynamics.

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In order to improve the efficiency of grid generation, a two-boundary algebraic method based on transfinite interpolation was developed to generate two-dimensional grid system within geometrically complex two-dimensional plane domain rapidly.

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Based on the transfinite interpolation theory, an improved algebraic grid generation method is presented in this paper. Our improvements of existing algebraic grid generation method include:(1) orthogonality control, which greatly improves grid orthogonality adapted to viscous flow calculation;(2) weighted average smoothing, which efficiently handles with grid intersection due to concave corner existence;(3) normal vector control, which adjusts grid smoothing near convex corner.

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