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APPROXIMATE SOLUTION OF INTEGRAL EQUATIONS AND CONVOLUTION INTEGRALS USING LEGENDRE POLYNOMIALS

APPROXIMATE SOLUTION OF INTEGRAL EQUATIONS AND CONVOLUTION INTEGRALS USING LEGENDRE POLYNOMIALS
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摘要 It has been argued that Chebyshev polynomials are ideal to use as approximating functions to obtain solutions of integral equations and convolution integrals on account of their fast convergence. Using the standard deviation as a measure of the accuracy of the approximation and the CPU time as a measure of the speed, we find that for reasonable accuracy Legendre polynomials are more efficient. ' It has been argued that Chebyshev polynomials are ideal to use as approximating functions to obtain solutions of integral equations and convolution integrals on account of their fast convergence. Using the standard deviation as a measure of the accuracy of the approximation and the CPU time as a measure of the speed, we find that for reasonable accuracy Legendre polynomials are more efficient. '
出处 《Analysis in Theory and Applications》 1997年第2期11-19,共9页 分析理论与应用(英文刊)
关键词 oscillatory integral operator MULTIPLIER SINGULARITY oscillatory integral operator multiplier singularity
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