OOURA, Takuya
Takuya Ooura is interested in algorithms on numerical computation. His main interest is numerical integration, and he has proposed a new double exponential formula for computing Fourier-type integrals. This formula is used in Mathematica's numerical integration routine ``NIntegrate'' (details in the Wolfram Language document ``NIntegrate Integration Strategy''). He also has proposed a continuous Euler transformation to accelerate the convergence of integrals of slowly decaying integrands. Future work will develop this method and apply it to various numerical computations. As part of his research on Fourier integrals, he also created a general-purpose, high-speed FFT (Fast Fourier Transform) library. This library is publicly available on the web and is used by many educational institutions and companies. A well-known example is the Google Chrome browser, which includes this library (start the browser and type ``chrome://credits'' to see it). More numerical computation libraries will be developed and improved in the future.