[1]蔡国宪,李炯天,朴光日,等.稀疏网格配置法在随机Burgers’方程中的应用[J].延边大学学报(自然科学版),2014,40(01):20-24.
 CAI Guoxian,LEE Hyungchun,PIAO Guangri,et al.Application of the sparse-grid stochastic collocation method to the stochastic Burgers’ equation[J].Journal of Yanbian University,2014,40(01):20-24.
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稀疏网格配置法在随机Burgers’方程中的应用

参考文献/References:

[1] Breiman L. Probability[M]. Boston: Addison-Wesley, 1968.
[2] Babuska I M, Nobile F, Tempone R. RAGS: A stochastic collocation method for elliptic partial differential equations with random input data. echnical report[J]. Siam J Numeri Anal, 2007,45(3):1005-1034.
[3] Barthelmann V, Novak E, Ritter K. RAGS: High dimensional polynomial interpolation on sparse grids[J]. Adv Comput Math, 2000,12(4):273-288.
[4] Smolyak S. Interpolation and quadrature formulas for the classes Was and Eas[J]. Soviet Math Dokl, 1963,4:240-243.
[5] Gerstner T, Griebel M. RAGS: Numerical integration using sparse grids[J]. Numer Algorithms, 1998,18(3/4):209-232.
[6] Winckel G. RAGS: Fast Clenshaw-Curtis quadrature[J]. The Mathworks Central File Exchange, 2005.2. http://www.mathworks.com/matlabcentral/files/6911/clencurtom.
[7] Keese A, Matthies H. RAGS: Numerical methods and smolyak quadrature for nonlinear[J]. Partial Differential Equations: Informatikbericht, 2003,5:253-258.
[8] Smolyak S A. RAGS: Quadrature and interpolation formulas for tensor products of certain classes of functions[J]. Soviet Mathematics, 1963,4:240-243.
[9] Bungartz H, Griebel M. Sparse grids[J]. Acta Numerica, 2004,13:147-269.

备注/Memo

收稿日期: 2013-11-26作者简介: 蔡国宪(1977—),男,讲师,研究方向为计算数学.

更新日期/Last Update: 2014-03-20