The use of higher order finite difference schemes is not dangerous

DOI10.1016/j.jco.2008.05.007zbMath1159.65028OpenAlexW1974555740MaRDI QIDQ998974

Peter Mathé, Sergei V. Pereverzyev

Publication date: 30 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.jco.2008.05.007

zbMATH Keywords

finite difference schemespline approximationnumerical differentiationnumerical exmaples

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical differentiation (65D25)

Related Items (4)

Numerical differentiation by a Tikhonov regularization method based on the discrete cosine transform ⋮ Exponential basis and exponential expanding grids third (fourth)-order compact schemes for nonlinear three-dimensional convection-diffusion-reaction equation ⋮ Adaptive parameter choice for one-sided finite difference schemes and its application in diabetes technology ⋮ Galerkin method with trigonometric basis on stable numerical differentiation

Uses Software

• R

Cites Work

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• A new approach to numerical differentiation and integration
• Numerical differentiation from a viewpoint of regularization theory
• Uniformly Accurate Finite Difference Schemes forp-Refinement

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