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The approximate inverse in action. IV: Semi-discrete equations in a Banach space setting. (English) Zbl 1259.65078
The method of approximate inverse is used to solve semi-discrete linear operator equations in Banach spaces as well as to compute scalar products of the data with pre-computed reconstruction kernels which are associated with mollifiers and the dual of the model operator. The authors extend their previous results for convergence and stability to a Banach space setting.
MSC:
65J10 Numerical solutions to equations with linear operators (do not use 65Fxx)
65J20 Numerical solutions of ill-posed problems in abstract spaces; regularization
47A50 Equations and inequalities involving linear operators, with vector unknowns
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