Simple Construction of High Order Rational Iterative Equation Solvers
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
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.
- Research Organization:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- W-7405-ENG-48; AC52-07NA27344
- OSTI ID:
- 1124844
- Report Number(s):
- LLNL-TR-651075
- Country of Publication:
- United States
- Language:
- English
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