6533b86ffe1ef96bd12ce683
RESEARCH PRODUCT
High-accuracy approximation of piecewise smooth functions using the Truncation and Encode approach
Sergio López-ureñaRosa Donatsubject
Truncation errorPartial differential equationGeneral Computer ScienceTruncationApplied MathematicsMathematical analysisOrder (ring theory)010103 numerical & computational mathematicsENCODE01 natural sciences010101 applied mathematicsModeling and SimulationPiecewiseApplied mathematics0101 mathematicsUncertainty quantificationEngineering (miscellaneous)Interpolationdescription
Abstract In the present work, we analyze a technique designed by Geraci et al. in [1,11] named the Truncate and Encode (TE) strategy. It was presented as a non-intrusive method for steady and non-steady Partial Differential Equations (PDEs) in Uncertainty Quantification (UQ), and as a weakly intrusive method in the unsteady case. We analyze the TE algorithm applied to the approximation of functions, and in particular its performance for piecewise smooth functions. We carry out some numerical experiments, comparing the performance of the algorithm when using different linear and non-linear interpolation techniques and provide some recommendations that we find useful in order to achieve a high performance of the algorithm.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-07-01 | Applied Mathematics and Nonlinear Sciences |