Spectral Methods

[6] J. Hu^*, X. Huang^, J. Shen^, H. Yang^. A Fast Petrov-Galerkin Spectral Method for the Multi-Dimensional Boltzmann Equation Using Mapped Chebyshev Functions. SIAM Journal on Scientific Computing, 2022. [pdf] [doi]

[5] J. Bremer^, Z. Chen^, H. Yang^*. Rapid Application of the Spherical Harmonic Transform via Interpolative Decomposition Butterfly Factorization. SIAM Journal on Scientific Computing, 2021. [pdf] [doi]

[4] J. Bremer^, Q. Pang^, H. Yang^*, Fast Algorithms for Multi-dimensional Jacobi Polynomial Transforms. Applied and Computational Harmonic Analysis, 2021. [pdf] [doi]

[3] Q. Pang, K. Ho, H. Yang*, Interpolative Decomposition Butterfly Factorization. SIAM Journal of Scientific Computing, 2020. [pdf] [doi]

[2] J. Bremer^*, H. Yang^, Fast Algorithms for Jacobi Expansions via Nonoscillatory Phase Functions. IMA Journal of Numerical Analysis, 2019. [pdf] [doi]

[1] H. Yang*, A Unified Framework for Oscillatory Integral Transform: When to use NUFFT or Butterfly Factorization? Journal of Computational Physics, 2019. [pdf] [doi]

^: Equal contribution; *: Corresponding author.