The Exponentially Convergent Trapezoidal Rule 论文

详细信息

发表期刊/会议

SIAM Review

发表日期

2014-01-01

发表年份

2014

摘要

It is well known that the trapezoidal rule converges geometrically when applied to analytic functions on periodic intervals or the real line. The mathematics and history of this phenomenon are reviewed, and it is shown that far from being a curiosity, it is linked with computational methods all across scientific computing, including algorithms related to inverse Laplace transforms, special functions, complex analysis, rational approximation, integral equations, and the computation of functions and eigenvalues of matrices and operators.