A note on the tau-method approximations for the Bessel functions Y0(z) and Y1(z)

Zhang, J.

doi:10.1016/0898-1221(96)00043-0

Cited by 6 publications

(2 citation statements)

References 24 publications

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“…Furthermore, numerical experiments conducted by Zhang (1996a) showed that the integrated τ -method may not always yield better approximate solution than the direct τ -method if the order of the approximating polynomials is high and arg z is large.…”

Section: Quality Of the τ -Methods Approximationmentioning

confidence: 98%

Symbolic Computation on Complex Polynomial Solution of Differential Equations

Zhang

1996

Journal of Symbolic Computation

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A symbolic computation scheme, based on the Lanczos τ -method, is proposed for obtaining exact polynomial solutions to some perturbed differential equations with suitable boundary conditions. The automated τ -method uses symbolic Faber polynomials as the perturbation terms for arbitrary circular sections of the complex plane and has advantages of avoiding rounding error and easy manipulation over the numerical counterpart. The method is illustrated by applying it to the modified Bessel function of the first kind I 0 (z) and the quality of the approximation is discussed.

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Section: Quality Of the τ -Methods Approximationmentioning

confidence: 98%

Symbolic Computation on Complex Polynomial Solution of Differential Equations

Zhang

1996

Journal of Symbolic Computation

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“…with ν, and l being positive hyperparameters and K ν being a modified Bessel function [115]. Please note, the scaling is chosen so that for ν → ∞ the SE covariance function is obtained.…”

Section: Covariance Function Examplesmentioning

confidence: 99%

Automated transfer in reinforcement learning

Ammar¹

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Computing Bessel functions of the second kind in extreme parameter regimes

Yousif

Melka

2003

Computer Physics Communications

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A note on the tau-method approximations for the Bessel functions Y0(z) and Y1(z)

Cited by 6 publications

References 24 publications

Symbolic Computation on Complex Polynomial Solution of Differential Equations

Symbolic Computation on Complex Polynomial Solution of Differential Equations

Automated transfer in reinforcement learning

Computing Bessel functions of the second kind in extreme parameter regimes

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