Simple Construction of High Order Rational Iterative Equation Solvers
Abstract
This article proposes a general technique to construct arbitrarily high order rational one-point iterative equation solvers based on truncated Taylor expansion from lower order schemes. With adding one more function call, an iterative equation solver of convergence order n can be accelerated to order (2n-1). Many existing (some recently published) one-point and two-point iterative equation solvers are special cases of the proposed construction. The proposed approach may be used to obtain new iterative equation solvers.
- Authors:
-
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1124844
- Report Number(s):
- LLNL-TR-651075
- DOE Contract Number:
- W-7405-ENG-48; AC52-07NA27344
- Resource Type:
- Technical Report
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
Citation Formats
Yao, Jin. Simple Construction of High Order Rational Iterative Equation Solvers. United States: N. p., 2014.
Web. doi:10.2172/1124844.
Yao, Jin. Simple Construction of High Order Rational Iterative Equation Solvers. United States. https://doi.org/10.2172/1124844
Yao, Jin. 2014.
"Simple Construction of High Order Rational Iterative Equation Solvers". United States. https://doi.org/10.2172/1124844. https://www.osti.gov/servlets/purl/1124844.
@article{osti_1124844,
title = {Simple Construction of High Order Rational Iterative Equation Solvers},
author = {Yao, Jin},
abstractNote = {This article proposes a general technique to construct arbitrarily high order rational one-point iterative equation solvers based on truncated Taylor expansion from lower order schemes. With adding one more function call, an iterative equation solver of convergence order n can be accelerated to order (2n-1). Many existing (some recently published) one-point and two-point iterative equation solvers are special cases of the proposed construction. The proposed approach may be used to obtain new iterative equation solvers.},
doi = {10.2172/1124844},
url = {https://www.osti.gov/biblio/1124844},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Mar 03 00:00:00 EST 2014},
month = {Mon Mar 03 00:00:00 EST 2014}
}
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