skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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:
 [1]
  1. 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}
}