An optimization approach to numerical integration in two dimensions

DOI10.1016/S0096-3003(99)00025-9zbMath1023.65017OpenAlexW2002162214MaRDI QIDQ1569186

W. R. Lee, Songgui Wang, Kok Lay Teo

Publication date: 25 June 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00025-9

zbMATH Keywords

numerical integrationnumerical examplesnonlinear optimizationcubature formulatriangular partitionrectangular partitionoptimal gridsbarycenter rule

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Uses Software

• FFSQP(f77)

Cites Work

• A bibliography on automatic integration
• Exactness conditions in numerical quadrature
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