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NUMERICAL APPROXIMATION TO THE N-TH DERIVATIVES
Jiang Yong, Dai Yu
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    1993, 10 (2): 191-196.  
Abstract249)      PDF (283KB)(873)      
Continuing the work of [1], this paper considers mainly the approximation to the n-th derivatives of functions, and develops an effective algorithm with its convergance and error astimate by the method of numerical integration. As an application, the algorithm is used to evaluate the integration of highly oscillatory functions and proves efficient.
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DISCRETE FOURIER TRANSFORMATIONS WITH WEIGHT
Wang Qin, Jiang Yong
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    1988, 5 (1): 80-86.  
Abstract193)      PDF (418KB)(935)      
In this paper DFT and FFT with weight are considered and their properties are studied. The modified the usual DFT and FFT by reducing the number of sample points mithin a certain error band and therefore speeding up the computation. Finally, we pointed out the practical applications of the new method in the fields of spectrum analysis, pulee tracing research and so on.
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