ASYMPTOTIC EXPANSION OF OSCILLATORY INTEGRALS WITH SINGULAR PHASES
Author:
Affiliation:
1. Faculty of Mathematics, Kyushu University
2. Faculty of Mathematics Kyushu University
Publisher
Faculty of Mathematics, Kyushu University
Subject
General Mathematics
Link
https://www.jstage.jst.go.jp/article/kyushujm/77/2/77_319/_pdf
Reference12 articles.
1. [1] V. I. Arnold, S. M. Gusein-Zade, and A. N. Varchenko. Singularities of Differentiable Maps II. Birkhäuser, Basel, 1988.
2. [2] A. I. Hascelik. On numerical computation of integrals with integrands of the form f (x) sin(w/xr) on [0, 1]. J.Comput. Appl. Math. 223(1) (2009), 399-408.
3. [3] A. I. Hascelik. Suitable Gauss and Filon-type methods for oscillatory integrals with an algebraic singularity. Appl. Numer. Math. 59(1) (2009), 101-118.
4. [4] E. J. Hinch. Perturbation Methods (Cambridge Texts in Applied Mathematics). Cambridge University Press, Cambridge, 1991.
5. [5] L. Hörmander. The Analysis of Linear Partial Differential Operators I. Reprint of the second (1990) edition (Classics in Mathematics). Springer, Berlin, 2003.
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