# Paper Corrections for A multiscale butterfly algorithm for multidimensional Fourier integral operators

This post lists corrections for the following paper.

- Y. Li, H. Yang, and L. Ying, A multiscale butterfly algorithm for multidimensional Fourier integral operators, Multiscale Modeling and Simulation 13:2, 614-631 (2015). [PDF, journal]

So far, I have found the following mistakes or typos.

- Page 629, Equation (36), “$\Phi(x,\xi) = x \cdot \xi + c(x)\sqrt{\xi_1^2+\xi_2^2}$” should be “$\Phi(x,\xi) = x \cdot \xi + c(x) \sqrt{\xi_1^2+\xi_2^2+\xi_3^2}$”

Yingzhou Li