IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v408y2021ics0096300321004550.html
   My bibliography  Save this article

C2 weighted piecewise rational interpolation

Author

Listed:
  • Yun, Beong In

Abstract

In this work, we propose a new constructive piecewise interpolation method. The procedure is composed of a weighted average of two sequential interpolating polynomials on each subinterval, where we employ a rational weight function satisfying some properties to glue the sequential polynomials appropriately. The scheme is rather simple compared with existing piecewise interpolation schemes. Analysis for the error bound of the presented scheme is performed, and numerical examples are included to demonstrate usefulness of the scheme. As a result, we can find that the proposed interpolating function is C2 over the whole interval including the given data and, in particular, the method associated with the cubic polynomials is comparable to the well-known cubic spline scheme.

Suggested Citation

  • Yun, Beong In, 2021. "C2 weighted piecewise rational interpolation," Applied Mathematics and Computation, Elsevier, vol. 408(C).
    • Handle: RePEc:eee:apmaco:v:408:y:2021:i:c:s0096300321004550
    DOI: 10.1016/j.amc.2021.126366
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300321004550
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2021.126366?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Iskandarova, Marfuga & Vernay, Anne-Lorène & Musiolik, Jörg & Müller, Leticia & Sovacool, Benjamin K., 2022. "Tangled transitions: Exploring the emergence of local electricity exchange in France, Switzerland and Great Britain," Technological Forecasting and Social Change, Elsevier, vol. 180(C).
    2. Lauren Zimmermann & Subarna Bhattacharya & Soumik Purkayastha & Ritoban Kundu & Ritwik Bhaduri & Parikshit Ghosh & Bhramar Mukherjee, 2021. "SARS-CoV-2 Infection Fatality Rates in India: Systematic Review, Meta-analysis and Model-based Estimation," Studies in Microeconomics, , vol. 9(2), pages 137-179, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:408:y:2021:i:c:s0096300321004550. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.