6533b7d3fe1ef96bd12614a6
RESEARCH PRODUCT
Polynomial mapped bases: theory and applications
Stefano De MarchiGiacomo ElefanteElisa FrancomanoFrancesco Marchettisubject
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 Engineeringdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-04-04 |