Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643305 | Journal of Computational and Applied Mathematics | 2006 | 16 Pages |
Abstract
We describe high-precision computations of the Pearcey integral Pe(x,y) for real x and y by means of Hadamard expansions. Numerical results for (x,y) situated in different regions of the x,y-plane are given to illustrate the levels of precision that can be achieved. Particular emphasis is given to computation in the neighbourhood of the two cusped curves associated with Pe(x,y) across which there is either a coalescence of saddles or a Stokes phenomenon.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
R.B. Paris, D. Kaminski,