pseudo-spectral methods
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21: 28.34 Methods of Computation
§28.34 Methods of Computation
… ►Methods available for computing the values of needed in (28.2.16) include: … ►Methods for computing the eigenvalues , , and , defined in §§28.2(v) and 28.12(i), include: … ►22: 29 Lamé Functions
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23: 5.21 Methods of Computation
§5.21 Methods of Computation
…24: 11.13 Methods of Computation
§11.13 Methods of Computation
… ►For a review of methods for the computation of see Zanovello (1975). … ►For complex variables the methods described in §§3.5(viii) and 3.5(ix) are available. … ►A comprehensive approach is to integrate the defining inhomogeneous differential equations (11.2.7) and (11.2.9) numerically, using methods described in §3.7. … ►In consequence forward recurrence, backward recurrence, or boundary-value methods may be necessary. …25: 12.16 Mathematical Applications
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26: 31.18 Methods of Computation
§31.18 Methods of Computation
…27: Peter A. Clarkson
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►Clarkson has published numerous papers on integrable systems (primarily Painlevé equations), special functions, and symmetry methods for differential equations.
… Kruskal, he developed the “direct method” for determining symmetry solutions of partial differential equations in New similarity reductions of the Boussinesq equation (with M.
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28: 33.23 Methods of Computation
§33.23 Methods of Computation
►§33.23(i) Methods for the Confluent Hypergeometric Functions
►The methods used for computing the Coulomb functions described below are similar to those in §13.29. … ►§33.23(vi) Other Numerical Methods
►Curtis (1964a, §10) describes the use of series, radial integration, and other methods to generate the tables listed in §33.24. …29: 24.19 Methods of Computation
§24.19 Methods of Computation
… ►For higher values of more efficient methods are available. …A similar method can be used for the Euler numbers based on (4.19.5). … ►Another method is based on the identities … ►We list here three methods, arranged in increasing order of efficiency. …30: Nico M. Temme
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►Segura) of Numerical Methods for Special Functions, published by SIAM in 2007.
His book Asymptotic Methods for Integrals was published by World Scientific in 2015.
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