The code is based in mostly on http://www.kurims.kyoto-u.ac.jp/~ooura/intde.html for the tanh-sinh (double exponential) method Bibliography M.Mori, Developments in ...
Abstract: A novel algorithm for efficient direct integration of Sommerfeld integral (SI) tails arising in the numerical analysis of antennas and scatterers embedded in multilayered media, is presented ...
Abstract: In this study we utilize quadrature rules based on double exponential formulas to evaluate strongly singular volume integrals. First it is shown numerically that double exponential formulas ...
In the present article, we review a continual effort on generalization of the Trotter formula to higher-order exponential product formulas. The exponential product formula is a good and useful ...
The name of the program denotes the example number and the approximation formula. For example, the program Ex2DE1.c approximates the indefinite integraion of the function in (2) using the formula (DE1 ...
The renormalized saddlepoint approximation for the probability density function of the empirical mean x̄ of a sample x1,..., xn from a particular type of reproductive exponential model is shown to be ...