Quadrature based collocation methods for integral equations of the first kind

Abstract

Problem of solving integral equations of the first kind, ∫ b a k(s, t) x(t)dt = y(s), s ∈ [a,b ] arises in many of the inverse problems that appears in applications. The above problem is a prototype of an ill-posed problem. Thus, for obtaining stable approximate solutions based on noisy data, one has to rely on regularization methods. In practice, the noisy… (More)
DOI: 10.1007/s10444-011-9196-1

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