Adaptive parameter choice for one-sided finite difference schemes and its application in diabetes technology

DOI10.1016/J.JCO.2012.06.001zbMath1253.65032OpenAlexW2158933491MaRDI QIDQ454822

S. Sivananthan, Sergei V. Pereverzyev, Valeriya Naumova

Publication date: 10 October 2012

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2012.06.001

zbMATH Keywords

numerical examplesnumerical differentiationill-posed problemsoptimal parameterregularization parameterblood glucose predictionbalancing principlediabetes therapyone-sided finite difference formula

Mathematics Subject Classification ID

Medical applications (general) (92C50) Numerical differentiation (65D25)

Related Items (1)

An improved version of a high accuracy surface modeling method

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite difference methods for the numerical differentiation of non-exact data
• One-sided finite-difference approximations suitable for use with Richardson extrapolation
• On the convergence of the quasioptimality criterion for (iterated) Tikhonov regularization
• The use of higher order finite difference schemes is not dangerous
• A new approach to numerical differentiation and integration
• On stable numerical differentiation
• Extrapolation in variable RKHSs with application to the blood glucose reading
• Sharp converse results for the regularization error using distance functions
• Numerical differentiation from a viewpoint of regularization theory
• Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
• A stable finite difference ansatz for higher order differentiation of non-exact data
• The Lepskii principle revisited
• Use of the regularization method in non-linear problems

This page was built for publication: Adaptive parameter choice for one-sided finite difference schemes and its application in diabetes technology