NUMERICAL EVALUATION OF A 2-D CAUCHY PRINCIPAL VALUE INTEGRAL BASED ON QUASI-INTERPOLATING SPLINES

(整期优先)网络出版时间:1997-04-14
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Inthispapertheauthorpresentsamethodforthenumericalsolutionofa2-DCauchyprincipalvalueoftheformwhereSisadomainwithacontinuousboundary.Byusmgpolarcoordinates,theintegralisreducedtotheformwheredenotesthefinite-partoftheintegral.Weconstructtherelativeproductrulebasedonquasi-interpolatingsplines.Convergenceresultsareprovedandnumericalexamplesaregiven.