Geodesic
Modifications of Newton-Cotes formulas for computation of repeated integrals and derivatives
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 4, pp. 1175-1188

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Standard algorithms for numerical integration are defined for simple integrals. Formulas for computation of repeated integrals and derivatives for equidistant domain partition based on modified Newton-Cotes formulas are derived. We compare usage of the new formulas with the classical quadrature formulas and discuss possible application of the results to solving higher order differential equations.
DOI : 10.21136/CMJ.2023.0437-22
Classification : 65D32
Keywords: repeated integral; Cauchy formula for repeated integration; quadrature; cubature; numerical differentiation 
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Tvrdá, Katarína; Novotný, Peter. Modifications of Newton-Cotes formulas for computation of repeated integrals and derivatives. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 4, pp. 1175-1188. doi: 10.21136/CMJ.2023.0437-22

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