T. Ooura and M. Mori,
The double exponential formula for oscillatory functions over the half infinite interval,
J.Comput. Appl. Math. 38, (1991), 353360.

M. Mori and T. Ooura,
Double exponential formulas for Fourier type integrals with a divergent integrand,
Contributions in Numerical Mathematics, ed. R. P. Agarwal,
World Scientific Series in Applicable Analysis, 2, (1993), 301308.

T. Ooura and M. Mori,
A robust double exponential formula for Fourier type integrals,
J. Comput. Appl. Math., 112, (1999), 229241.
 This algorithm is implemented in Mathematica [Mathematica NIntegrate documentation](2008). 

T. Ooura,
A continuous Euler transformation and its application to Fourier transforms of slowly decaying functions (in Japanese),
Transactions  Japan Society for Industrial and Applied Mathematics, Vol.9 No.3, (1999), 109121.
 Paper prize awarded by JSIAM (2000). 

T. Ooura,
Improvement of the PI Calculation Algorithm and Implementation of Fast MultiplePrecision Computation (in Japanese),
Transactions  Japan Society for Industrial and Applied Mathematics, Vol.9 No.4, (1999), 165172.
 Paper prize awarded by JSIAM (2001). 

T. Ooura,
Numerical inversion of the Laplace transform using a continuous Euler transformation,
RIMS Kokyuroku, Kyoto Univ., (Proceedings), 1145, (2000), 188193, [pdf 114KB],
(Sample c codes [zip 12KB]).

T. Ooura,
A continuous Euler transformation and its application to the Fourier transform of a slowly decaying function,
J. Comput. Appl. Math., 130, (2001), 259270.

K. Amano, M. Asaduzzaman, T. Ooura and S. Saitoh,
Representation of analytic functions on typical domains in terms of local values and truncation error estimates,
Analytic Extension Formulas and their Applications, ed. S. Saitoh, N. Hayashi and M. Yamamoto,
Kluwer Academic Publisher (2001), 1525.

T. Ooura,
An Improved Convergence Test for the Double Exponential Formula (in Japanese),
Transactions  Japan Society for Industrial and Applied Mathematics, Vol.13 No.2, (2003), 225230.
 Paper prize awarded by JSIAM (2005). 

T. Ooura,
A generalization of the continuous Euler transformation and its application to numerical quadrature,
J. Comput. Appl. Math., 157, (2003), 251259.

T. Ooura,
A double exponential formula for the Fourier transforms,
Publ. RIMS, Kyoto Univ., 41, (2005), 971978,
[pdf],
[pdf 164KB],
(Sample c code for Approximation Formula 2 [c 4KB]).

T. Ooura,
An IMTtype quadrature formula with the same asymptotic performance as the DE formula,
J. Comput. Appl. Math., 213, (2008), 232239.

T. Ooura,
A Computation Method for Integral Transforms using the Double Exponential Transformation (in Japanese),
Transactions  Japan Society for Industrial and Applied Mathematics, Vol.19 No.1, (2009), 7379.

M. Shoji, H. Okamoto and T. Ooura,
Particle trajectories around a running cylinder or a sphere,
Fluid Dynamics Research, 42, (2010), 025506.

T. Ooura,
Direct computation of generalized functions by continuous Euler transformation,
Sugaku Expositions, 25, (June 2012), 89104.

T. Ooura,
Highspeed highaccuracy computation of an infinite integral with unbounded and oscillated integrand,
RIMS Preprint, 1741, [pdf],
(Sample c code[c 1MB]).

T. Ooura,
Fast computation of Goursat's infinite integral with very high accuracy,
J. Comput. Appl. Math., 249, (2013), 18.

