2093	 A Comparison of Error Improvement Estimates for Adaptive Trapezoid Integration	 Various simple choices of error improvement estimates for the trapezoid rule are studied to demonstrate a comparison procedure which is relatively independent of the profusion of adaptive search and stopping strategies. Comparisons are based on x r the inclusion of the noninteger powers makes this more realistic than the usual polynomial based comparison. Behavior near the singularity was found to be the dominant factor and a new estimate based on a constant curvature assumption and parametric differences was considered slightly better than the other choices considered. adaptive integration error improvement estimate trapezoid rule nonpolynomial error criteria
