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Polynomial mapped bases: theory and applications

2022

Abstract In this paper, we collect the basic theory and the most important applications of a novel technique that has shown to be suitable for scattered data interpolation, quadrature, bio-imaging reconstruction. The method relies on polynomial mapped bases allowing, for instance, to incorporate data or function discontinuities in a suitable mapping function. The new technique substantially mitigates the Runge’s and Gibbs effects.

Settore MAT/08 - Analisi Numericafake nodes Gibbs phenomenon mapped basis Runge's phenomenonmapped basisGibbs phenomenonRunge’s phenomenonfake nodesApplied MathematicsFOS: MathematicsMathematicsofComputing_NUMERICALANALYSISNumerical Analysis (math.NA)Mathematics - Numerical AnalysisIndustrial and Manufacturing Engineering
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