Over-sampling with norming sets stabilizes the Kansa collocation matrix for elliptic PDEs on spheres and yields proven error estimates for least-squares and QR-thinned square systems.
An extension of a bound for functions in sobolev spaces, with applications to (m, s)-spline interpolation and smoothing
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Extending Data to Improve Stability and Error Estimates Using Asymmetric Kansa-like Methods to Solve PDEs
Over-sampling with norming sets stabilizes the Kansa collocation matrix for elliptic PDEs on spheres and yields proven error estimates for least-squares and QR-thinned square systems.