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- Huiyuan Li, Jiachang Sun, Yuan Xu
- SIAM J. Numerical Analysis
- 2008

Several problems of trigonometric approximation on a hexagon and a triangle are studied using the discrete Fourier transform and orthogonal polynomials of two variables. A discrete Fourier analysis on the regular hexagon is developed in detail, from which the analysis on the triangle is deduced. The results include cubature formulas and interpolation on… (More)

- Chao Yang, Wei Xue, +7 authors Weimin Zheng
- PPOPP
- 2013

Developing highly scalable algorithms for global atmospheric modeling is becoming increasingly important as scientists inquire to understand behaviors of the global atmosphere at extreme scales. Nowadays, heterogeneous architecture based on both processors and accelerators is becoming an important solution for large-scale computing. However, large-scale… (More)

- Huiyuan Li, Jiachang Sun, Yuan Xu
- Numerical Algorithms
- 2010

A discrete Fourier analysis associated with translation lattices is developed recently by the authors. It permits two lattices, one determining the integral domain and the other determining the family of exponential functions. Possible choices of lattices are discussed in the case of lattices that tile ${{\mathbb R}}^2$ and several new results on cubature… (More)

- Jiachang Sun, Huiyuan Li
- Adv. Comput. Math.
- 2005

- Yunquan Zhang, Jiachang Sun, Guoxing Yuan, Linbo Zhang
- China HPC
- 2007

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. To copy otherwise, to republish, to post on servers or to redistribute to… (More)

- Huiyuan LI, Jiachang SUN, Yuan XU
- 2012

Abstract. The discrete Fourier analysis on the 300–600–900 triangle is deduced from the corresponding results on the regular hexagon by considering functions invariant under the group G2, which leads to the definition of four families generalized Chebyshev polynomials. The study of these polynomials leads to a Sturm–Liouville eigenvalue problem that… (More)

- Yurong Chen, Jiachang Sun
- Applied Mathematics and Computation
- 2005

- Yuan Yu, Yunquan Zhang, +4 authors Li Rao
- 2009 15th International Conference on Parallel…
- 2009

We present our early performance evaluation results with the NPB benchmark and two scientific computing applications program, i.e., a HFFT package developed by our lab and a CFDO application software, on two 100Teraflops-scale Dawning 5000A and DeepComp 7000. We compared the NPB performance evaluation results of Dawning 5000A and DeepComp 7000, with their… (More)

- Jiachang Sun, Jifeng Yao
- 2004

In this paper, we propose a fast algorithm for computing the DGFT (Discrete Generalized Fourier Transforms) on hexagon domains [6], based on the geometric properties of the domain. Our fast algorithm (FDGFT) reduces the computation complexity of DGFT from O(N) to O(N log N). In particulary, for N = 2233445566 , the floating point computation amount equals… (More)

- Jiachang Sun
- Applied Mathematics and Computation
- 2006