TY - JOUR
T1 - Stable integration rules with scattered integration points
AU - Levin, David
PY - 1999/11/30
Y1 - 1999/11/30
N2 - A general method for near-best approximations to functionals on Rd, using scattered-data information, is applied for producing stable multidimensional integration rules. The rules are constructed to be exact for polynomials of degree ≤m and, for a quasi-uniform distribution of the integration points, it is shown that the approximation order is O(hm+1) where h is an average distance between the data points.
AB - A general method for near-best approximations to functionals on Rd, using scattered-data information, is applied for producing stable multidimensional integration rules. The rules are constructed to be exact for polynomials of degree ≤m and, for a quasi-uniform distribution of the integration points, it is shown that the approximation order is O(hm+1) where h is an average distance between the data points.
KW - Multidimensional
KW - Numerical integration
KW - Scattered data
UR - http://www.scopus.com/inward/record.url?scp=0033357434&partnerID=8YFLogxK
U2 - 10.1016/S0377-0427(99)00218-6
DO - 10.1016/S0377-0427(99)00218-6
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AN - SCOPUS:0033357434
SN - 0377-0427
VL - 112
SP - 181
EP - 187
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 1-2
ER -