TY - RPRT
A1 - Frank, Karin
T1 - An Optimal Algorithm for the Local Solution of Integral Equations
N2 - The local solution problem of multivariate Fredholm integral equations is studied. Recent research proved that for several function classes the complexity of this problem is closely related to the Gelfand numbers of some characterizing operators. The generalization of this approach to the situation of arbitrary Banach spaces is the subject of the present paper.
Furthermore, an iterative algorithm is described which - under some additional conditions - realizes the optimal error rate. The way these general theorems work is demonstrated by applying them to integral equations in a Sobolev space of periodic functions with dominating mixed derivative of various order.
T3 - Interner Bericht des Fachbereich Informatik - 276
Y1 - 1995
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/4923
UR - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-49231
ER -