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A convergence result for a least-squares method using Schauder bases. (English) Zbl 1135.65326

Summary: We introduce a method, by using the least-squares method and a Schauder basis, which provides a numerical solution for a wide class of linear differential or integral equations. In addition, we give a convergence result and an application.

MSC:

65J10 Numerical solutions to equations with linear operators
47A50 Equations and inequalities involving linear operators, with vector unknowns
65R20 Numerical methods for integral equations
45D05 Volterra integral equations
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References:

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