×

Proposing and verification of a group of 1-node-extrapolated numerical integration formulas. (Chinese. English summary) Zbl 1289.65034

Summary: The Lagrange polynomial is used to approximate the unknown target function based on equally-based discrete-time sampling data. In order to calculate the integration of the interval including an extrapolated node, a group of 1-node-extrapolated numerical integration formulas are proposed, which are capable of predicting the future information. Numerical results show the efficacy of the formulas, that is, the prediction results show high accuracies.

MSC:

65D30 Numerical integration
PDFBibTeX XMLCite