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Title: A Second Order Accurate Adams-Bashforth Type Discrete Event Integration Scheme

Abstract

This paper proposes a second order accurate, Adams- Bashforth type, asynchronous integration scheme for numerically solving systems of ordinary differential equations. The method has three aspects; a local integration rule with third order truncation error, a third order accurate model of local influencers, and local time advance limits. The role of these elements in the scheme's operation are discussed and demonstrated. The time advance limit, which distinguishes this method from other discrete event methods for ODEs, is argued to be essential for constructing high order accuracy schemes.

Authors:
 [1]
  1. ORNL
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
932155
DOE Contract Number:  
DE-AC05-00OR22725
Resource Type:
Conference
Resource Relation:
Conference: Parallel and Distributed Simulation 2007, San Diego, CA, USA, 20070612, 20070612
Country of Publication:
United States
Language:
English
Subject:
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; ACCURACY; DIFFERENTIAL EQUATIONS; SIMULATION

Citation Formats

Nutaro, James J. A Second Order Accurate Adams-Bashforth Type Discrete Event Integration Scheme. United States: N. p., 2007. Web.
Nutaro, James J. A Second Order Accurate Adams-Bashforth Type Discrete Event Integration Scheme. United States.
Nutaro, James J. Mon . "A Second Order Accurate Adams-Bashforth Type Discrete Event Integration Scheme". United States. doi:.
@article{osti_932155,
title = {A Second Order Accurate Adams-Bashforth Type Discrete Event Integration Scheme},
author = {Nutaro, James J},
abstractNote = {This paper proposes a second order accurate, Adams- Bashforth type, asynchronous integration scheme for numerically solving systems of ordinary differential equations. The method has three aspects; a local integration rule with third order truncation error, a third order accurate model of local influencers, and local time advance limits. The role of these elements in the scheme's operation are discussed and demonstrated. The time advance limit, which distinguishes this method from other discrete event methods for ODEs, is argued to be essential for constructing high order accuracy schemes.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Jan 01 00:00:00 EST 2007},
month = {Mon Jan 01 00:00:00 EST 2007}
}

Conference:
Other availability
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