The modified trapezoidal rule for line integrals
The authors propose two numerical integration techniques that are modified trapezoidal and modified Romberg rules. They present also results of some numerical experiments for evaluating the line integral of a vector field over an implicitly defined curve. The proof of an asymptotic error expansion for the modified trapezoidal rule as a modification of that of \textit{P. Verlinden} and \textit{R. Cools} [Math. Comput. 63, No. 208, 717-725 (1994; Zbl 0811.65020)] is given.
scientific article; zbMATH DE number 1084118
scientific article