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Solving Ordinary Differential Equations with Discontinuities
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Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 10 ,  Issue 1  (March 1984) table of contents
Pages: 23 - 44  
Year of Publication: 1984
ISSN:0098-3500
Authors
C. W. Gear  Department of Computer Science, University of Illinois at Urbana-Champaign, Urbana, IL
O. Osterby  Computer Science Department, Aarhus University, Aarhus, Denmark
Publisher
ACM  New York, NY, USA
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
CARVER, M.B. Efficmnt integration over discontinuitms in ordinary differential equation simulations Math Comput Szmul. 20, 3 (1978), 190-196
 
2
ELLISON, D. Efficient automatic integration of ordinary differential equations with dlscontinuihes. Math. Comput. Simul. 23, 1 (1981), 12-20.
3
 
4
GEAR, C.W. AND ~)STERB~, O. Solving ordinary differential equations with discontinmties Tech. Rep. R-81-1064, Univ. of Illinois at Urbana-Champaign (1981).
 
5
HAY, J.L., CROSmE, R.E AND CHAPLIN, R.I. Integration routines for systems with discontinuities Comput. J 17, 3 (1974), 275-278.
 
6
HINDMARSH, A. GEAR: Ordinary differential equation solver. Tech. Rep UCID-30001, Revision 3, Lawrence Livermore National Laboratories, Livermore, Calif., 1974.
 
7
MANNSHARDT, R. One-step methods of any order for ordinary difi~rential equations with discontinuous right-hand sides. Numer. Math. 31, 2 (1978), 131-152.
 
8
MUNTER, P. Numeriske metoder til lcsing of systemer of saedvanlige differentlallignmger indeholdende diskontinulteter. Rapport F40-78.03, Laboratoriet for K~leteknik, Techmcal University of Denmark, 1978 (report is in Damsh)
 
9
O'REGAN, P.G Step size adjustment at discontinuities for fourth order Runge-Kutta methods. Comput. J 13, 4 (1970), 401-404.
 
10
THOMSEN, P.G. Numermal simulation in theory and praxis. Mathematics and Computation Tech. Rep. 2/79, Department of Mathematics, University of Trondhelm, Norway 1979.

CITED BY  8