Numerical Methods for Scientists and Engineers |
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Page 261
... Chebyshev polynomials Tn ( ) . The method of equating coefficients of the same powers of x on both sides of an ... Chebyshev polynomials . We therefore proceed exactly as we would were we dealing with a power series repre- sentation of ...
... Chebyshev polynomials Tn ( ) . The method of equating coefficients of the same powers of x on both sides of an ... Chebyshev polynomials . We therefore proceed exactly as we would were we dealing with a power series repre- sentation of ...
Page 262
... Chebyshev polynomials . 19.8-3 . Carry out the details of the example y ' method ( Sec . 19.8 ) . = 19.8-4 . Apply the direct method to Exercise 19.7-1 . y in Sec . 19.7 by the direct r 19.9 SOME REMARKS ON CHEBYSHEV APPROXIMATION Chebyshev ...
... Chebyshev polynomials . 19.8-3 . Carry out the details of the example y ' method ( Sec . 19.8 ) . = 19.8-4 . Apply the direct method to Exercise 19.7-1 . y in Sec . 19.7 by the direct r 19.9 SOME REMARKS ON CHEBYSHEV APPROXIMATION Chebyshev ...
Page 333
... Chebyshev polynomials to the effect that , if we wish to have the error in the form of a Chebyshev polynomial , then we should consider getting the whole expression in Chebyshev polynomials . For this we need to be able to express eiwz ...
... Chebyshev polynomials to the effect that , if we wish to have the error in the form of a Chebyshev polynomial , then we should consider getting the whole expression in Chebyshev polynomials . For this we need to be able to express eiwz ...
Contents
THE DIFFERENCE CALCULUS | 3 |
ROUNDOFF NOISE | 24 |
THE SUMMATION CALCULUS | 39 |
Copyright | |
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a₁ accuracy answer apply approach approximation assume calculus Chap chapter Chebyshev choice coefficients complex computing consider constant corresponding depends derivative determine develop difference differential equation discussed distribution effect equally error term estimate exact examine example EXERCISE factor formula Fourier frequency function given gives hence idea integration interpolation interval known leads linear machine mean method MICHIGAN noise Note obtain occur operator original particular polynomial practice predictor problem produce question random range reasonable require roundoff rule sample points simple simulation situation solution solve spaced stability step Suppose theorem theory tion transform true usually values various weights Yn+1 zero