TY - JOUR
T1 - Procedures for computing one- and two-dimensional integrals of functions with rapid irregular oscillations
AU - Levin, David
PY - 1982/4
Y1 - 1982/4
N2 - A collocation procedure for efficient integration of rapidly oscillatory functions is presented. The integration problem is transformed into a certain O.D.E. problem, and this is solved by a collocation technique. The method is also extended to two-dimensional integration, and some numerical results are appended showing the efficiency of the method in handling difficult cases of rapid irregular oscillations.
AB - A collocation procedure for efficient integration of rapidly oscillatory functions is presented. The integration problem is transformed into a certain O.D.E. problem, and this is solved by a collocation technique. The method is also extended to two-dimensional integration, and some numerical results are appended showing the efficiency of the method in handling difficult cases of rapid irregular oscillations.
UR - http://www.scopus.com/inward/record.url?scp=84968468712&partnerID=8YFLogxK
U2 - 10.1090/S0025-5718-1982-0645668-7
DO - 10.1090/S0025-5718-1982-0645668-7
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AN - SCOPUS:84968468712
SN - 0025-5718
VL - 38
SP - 531
EP - 538
JO - Mathematics of Computation
JF - Mathematics of Computation
IS - 158
ER -