Evaluation of analytic functions by generalized digital integration

Masaaki Ohkita

Mathematics and Computers in Simulation (MATCOM), 1985, vol. 27, issue 5, 511-517

Abstract: An integral of Haar functions yields triangular waveforms at subintervals where the Haar functions initially exist. These waveforms can be expressed by Haar series. Coefficients of their series can be given in quasi binary numbers. If the solutions of ordinary differential equations(ODE) are expressed by Haar series with unknown coefficients, given ODE can be written in a Haar function system by using Haar coefficients for the triangular waveforms and variable coefficients of the ODE. They are given in terms of matrix equations. Unknown Haar coefficients can be determined by solving such matrix equations. Haar approximations of their solutions can be obtained through a consistent procedure of computation.

Date: 1985
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378475485900709
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:27:y:1985:i:5:p:511-517

DOI: 10.1016/0378-4754(85)90070-9

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().