oscillatory integrals
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1: 36.12 Uniform Approximation of Integrals
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►The canonical integrals (36.2.4) provide a basis for uniform asymptotic approximations of oscillatory integrals.
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36.12.1
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36.12.3
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36.12.11
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2: 3.5 Quadrature
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§3.5(vii) Oscillatory Integrals
… ► ►Oscillatory integral transforms are treated in Wong (1982) by a method based on Gaussian quadrature. … … ► …3: Bibliography V
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Newton polyhedra and estimates of oscillatory integrals.
Funkcional. Anal. i Priložen. 10 (3), pp. 13–38 (Russian).
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4: Bibliography E
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A comparison of some methods for the evaluation of highly oscillatory integrals.
J. Comput. Appl. Math. 112 (1-2), pp. 55–69.
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5: Bibliography W
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Quadrature formulas for oscillatory integral transforms.
Numer. Math. 39 (3), pp. 351–360.
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6: Bibliography D
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Oscillatory integrals, Lagrange immersions and unfolding of singularities.
Comm. Pure Appl. Math. 27, pp. 207–281.
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7: Bibliography C
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A method for the numerical evaluation of the oscillatory integrals associated with the cuspoid catastrophes: Application to Pearcey’s integral and its derivatives.
J. Phys. A 15 (4), pp. 1179–1190.
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8: 36.2 Catastrophes and Canonical Integrals
§36.2 Catastrophes and Canonical Integrals
►§36.2(i) Definitions
… ►Canonical Integrals
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…9: 2.3 Integrals of a Real Variable
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►For extensions to oscillatory integrals with more general -powers and logarithmic singularities see Wong and Lin (1978) and Sidi (2010).
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10: Bibliography L
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Note on a method for computing infinite integrals of oscillatory functions.
Proc. Cambridge Philos. Soc. 52 (4), pp. 764–768.
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