A rapid solution of a kind of 1D Fredholm oscillatory integral equation
暂无分享,去创建一个
Tao Wang | XueSong Wang | Shunping Xiao | JianBing Li | Tao Wang | S. Xiao | Jianbing Li | XueSong Wang
[1] David Levin,et al. Procedures for computing one- and two-dimensional integrals of functions with rapid irregular oscillations , 1982 .
[2] Shuhuang Xiang,et al. Efficient quadrature for highly oscillatory integrals involving critical points , 2007 .
[3] Fernando Reitich,et al. Prescribed error tolerances within fixed computational times for scattering problems of arbitrarily high frequency: the convex case , 2004, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[4] F. Ursell,et al. Integral Equations with a Rapidly Oscillating Kernel , 1969 .
[5] Sheehan Olver,et al. Numerical approximation of highly oscillatory integrals , 2008 .
[6] R. Kress,et al. Inverse Acoustic and Electromagnetic Scattering Theory , 1992 .
[7] W. Cheney,et al. Numerical analysis: mathematics of scientific computing (2nd ed) , 1991 .
[8] Daan Huybrechs,et al. On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation , 2006, SIAM J. Numer. Anal..
[9] Daan Huybrechs,et al. A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems , 2007, SIAM J. Sci. Comput..
[10] E. Kreyszig. Introductory Functional Analysis With Applications , 1978 .
[11] Sheehan Olver,et al. Moment-free numerical integration of highly oscillatory functions , 2006 .
[12] A. Iserles,et al. Efficient quadrature of highly oscillatory integrals using derivatives , 2005, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[13] L. Trefethen. Spectral Methods in MATLAB , 2000 .
[14] C. Geuzaine,et al. On the O(1) solution of multiple-scattering problems , 2005, IEEE Transactions on Magnetics.
[15] Wu Jing. An interpolation-based adaptive solution method for Fredholm integral equations of the second kind , 2004 .
[16] Tao Wang,et al. Evaluation of Cauchy principal value integrals of oscillatory kind , 2010, Appl. Math. Comput..
[17] R. Harrington. Time-Harmonic Electromagnetic Fields , 1961 .
[18] Chun Shen,et al. Delaminating quadrature method for multi-dimensional highly oscillatory integrals , 2009, Appl. Math. Comput..
[19] Lloyd N. Trefethen,et al. Barycentric Lagrange Interpolation , 2004, SIAM Rev..
[20] J. R. Webster,et al. A comparison of some methods for the evaluation of highly oscillatory integrals , 1999 .
[21] W. Chew. Waves and Fields in Inhomogeneous Media , 1990 .
[22] Elsayed M. E. Elbarbary,et al. Higher order pseudospectral differentiation matrices , 2005 .
[23] K. Atkinson. The Numerical Solution of Integral Equations of the Second Kind , 1997 .