In this paper we give several recurrence formulas for moments related to different weight functions. These formulas are used to carry out numerical integration within a domain corresponding to the whole positive real axis. The method is characterized by the presence of an exponential function into the weight term. A recursive algorithm has been implemented to generate weights and nodes for any number of integration points. Benefits of the procedure are shown for particular cases with comparison of results obtained by other integration rules. An interesting application of the proposed method to the numerical treatment of contact problem is shown.

Numerical Evaluation of Special Integrals with Application to Contact Problems

PIROZZI, ENRICA;
1996

Abstract

In this paper we give several recurrence formulas for moments related to different weight functions. These formulas are used to carry out numerical integration within a domain corresponding to the whole positive real axis. The method is characterized by the presence of an exponential function into the weight term. A recursive algorithm has been implemented to generate weights and nodes for any number of integration points. Benefits of the procedure are shown for particular cases with comparison of results obtained by other integration rules. An interesting application of the proposed method to the numerical treatment of contact problem is shown.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/174831
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