A new family of real-time redictor-corrector integration algorithms
dc.contributor.author | Howe, Robert Milton | en_US |
dc.date.accessioned | 2010-04-14T13:44:26Z | |
dc.date.available | 2010-04-14T13:44:26Z | |
dc.date.issued | 1991 | en_US |
dc.identifier.citation | Howe, R.M. (1991). "A new family of real-time redictor-corrector integration algorithms." Simulation 57(3): 177-186. <http://hdl.handle.net/2027.42/68531> | en_US |
dc.identifier.issn | 0037-5497 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/68531 | |
dc.description.abstract | This paper describes a variation of the conventional two-pass explicit Adams- Moulton predictor-corrector integration methods which is suitable for real-time simulation. In this new method the first pass through the state equations uses an Adams-Bash forth type of predictor algo rithm to campute an estimate of the state at the n+1/2 frame instead of the n+1 frame, as is customary. This estimate is then used to compute the derivative at the n+1/2 frame which, along with derivatives at the n, n-1, n-2, ... frames is used in the final corrector pass to calculate the state at the n+1 frame. Unlike conventional two-pass Adams- Moulton methods, these new versions are compatible with real-time inputs. The paper shows that they are also superior based on dynamic accuracy measures and stability measures. A three-pass predictor-corrector integration algorithm compatible with real- time inputs is also presented and shown to yield significantly more accurate results than 3rd-order RK (Runge-Kutta) integra tion. | en_US |
dc.format.extent | 3108 bytes | |
dc.format.extent | 920905 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.publisher | Sage Publications | en_US |
dc.title | A new family of real-time redictor-corrector integration algorithms | en_US |
dc.type | Article | en_US |
dc.subject.hlbtoplevel | Engineering | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | The University of Michigan Ann Arbor, Michigan Applied Dynamics International Ann Arbor, Michigan | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/68531/2/10.1177_003754979105700308.pdf | |
dc.identifier.doi | 10.1177/003754979105700308 | en_US |
dc.identifier.source | Simulation | en_US |
dc.identifier.citedreference | Benyon, P.K. 1968. "A Review of Numerical Methods for Digital Simulation," SIMULATION, 11(5):219-238. | en_US |
dc.identifier.citedreference | Gilbert, E.G. 1966. "Dynamic Error Analysis of Digital and Combined Digital Analog Systems," SIMULATION, 6(4):241-257. | en_US |
dc.identifier.citedreference | Gear, William G. 1971. Numerical Initial Value Problems in Ordinary Differential Equations, Prentice-Hall, Inc., Englewood Cliffs, New Jersey. | en_US |
dc.identifier.citedreference | Howe, R.M. 1985. "Transfer Function and Characteristic Root Errors for Fixed-Step Integration Algorithms," Transactions of the Society for Computer Simulation, Vol. 2, No. 4, December 1985, pp. 293-320. | en_US |
dc.identifier.citedreference | Howe, R.M. 1988. "Simulation of Linear Systems Using Modified Euler Integration Methods," Transactions of the Society for Computer Simulation, Vol. 5, No. 2, April,1988, pp. 125-152. | en_US |
dc.identifier.citedreference | Smith, Jon M. 1977. Mathematical Modeling and Digital Simulation for Engineers and Scientists," John Wiley & Sons, New York. | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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