On the validity of "A proof that the discrete singular convolution (DSC)/Lagrange-distributed approximation function (LDAF) method is inferior to high order finite differences"
暂无分享,去创建一个
[1] I. Babuska,et al. Finite element solution of the Helmholtz equation with high wave number Part I: The h-version of the FEM☆ , 1995 .
[2] John P. Boyd,et al. Sum-accelerated pseudospectral methods: the Euler-accelerated sinc algorithm , 1991 .
[3] Y. C. Zhou,et al. High resolution conjugate filters for the simulation of flows , 2001 .
[4] Bengt Fornberg,et al. Classroom Note: Calculation of Weights in Finite Difference Formulas , 1998, SIAM Rev..
[5] J. Boyd. Sum-accelerated pseudospectral methods: Finite differences and sech-weighted differences , 1994 .
[6] Omar A. Sharafeddin,et al. Analytic banded approximation for the discretized free propagator , 1991 .
[7] Liwen Qian. On the regularized Whittaker-Kotel'nikov-Shannon sampling formula , 2002 .
[8] Robin S. Langley,et al. A review of current analysis capabilities applicable to the high frequency vibration prediction of aerospace structures , 1998, The Aeronautical Journal (1968).
[9] Guo-Wei Wei,et al. Discrete singular convolution for the solution of the Fokker–Planck equation , 1999 .
[10] Shan Zhao,et al. Numerical solution of the Helmholtz equation with high wavenumbers , 2004 .
[11] Yang Xiang,et al. A NOVEL APPROACH FOR THE ANALYSIS OF HIGH-FREQUENCY VIBRATIONS , 2002 .
[12] L. Campbell. Sampling Theorem for the Fourier Transform of a Distribution with Bounded Support , 1968 .
[13] Bengt Fornberg,et al. A practical guide to pseudospectral methods: Introduction , 1996 .
[14] Yang Xiang,et al. Discrete singular convolution for the prediction of high frequency vibration of plates , 2002 .
[15] William H. Press,et al. Book-Review - Numerical Recipes in Pascal - the Art of Scientific Computing , 1989 .
[16] S. Osher,et al. Efficient implementation of essentially non-oscillatory shock-capturing schemes,II , 1989 .
[17] John P. Boyd. A proof that the discrete singular convolution (DSC)/Lagrange-distributed approximating function (LDAF) method is inferior to high order finite differences , 2006, J. Comput. Phys..
[18] Stefan A. Sauter,et al. Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers? , 1997, SIAM Rev..
[19] Björn Engquist,et al. High-Frequency Wave Propagation by the Segment Projection Method , 2002 .
[20] O. C. Zienkiewicz,et al. Achievements and some unsolved problems of the finite element method , 2000 .
[21] Yang Xiang,et al. Discrete singular convolution and its application to the analysis of plates with internal supports. Part 2: Applications , 2002 .
[22] Shock‐capturing with natural high‐frequency oscillations , 2001, math/0110029.
[23] Maria Theis,et al. Über eine Interplationsformel von de la Vallée Poussin , 1919 .
[24] Yang Xiang,et al. Discrete singular convolution and its application to the analysis of plates with internal supports. Part 1: Theory and algorithm , 2002 .
[25] I. Babuska,et al. Dispersion and pollution of the FEM solution for the Helmholtz equation in one, two and three dimensions , 1999 .
[26] Guo-Wei Wei,et al. DSC‐Ritz method for high‐mode frequency analysis of thick shallow shells , 2005 .
[27] I. Babuska,et al. Pollution Error in the h-Version of the Finite Element Method and the Local Quality of the Recovered Derivatives. , 1997 .