| Solving Ordinary Differential Equations with Discontinuities |
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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
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Authors
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C. W. Gear
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Department of Computer Science, University of Illinois at Urbana-Champaign, Urbana, IL
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O. Osterby
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Computer Science Department, Aarhus University, Aarhus, Denmark
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| Bibliometrics |
Downloads (6 Weeks): 5, Downloads (12 Months): 73, Citation Count: 8
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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.
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CARVER, M.B. Efficmnt integration over discontinuitms in ordinary differential equation simulations Math Comput Szmul. 20, 3 (1978), 190-196
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2
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ELLISON, D. Efficient automatic integration of ordinary differential equations with dlscontinuihes. Math. Comput. Simul. 23, 1 (1981), 12-20.
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GEAR, C.W. AND ~)STERB~, O. Solving ordinary differential equations with discontinmties Tech. Rep. R-81-1064, Univ. of Illinois at Urbana-Champaign (1981).
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5
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HAY, J.L., CROSmE, R.E AND CHAPLIN, R.I. Integration routines for systems with discontinuities Comput. J 17, 3 (1974), 275-278.
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HINDMARSH, A. GEAR: Ordinary differential equation solver. Tech. Rep UCID-30001, Revision 3, Lawrence Livermore National Laboratories, Livermore, Calif., 1974.
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7
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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.
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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)
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9
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O'REGAN, P.G Step size adjustment at discontinuities for fourth order Runge-Kutta methods. Comput. J 13, 4 (1970), 401-404.
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10
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THOMSEN, P.G. Numermal simulation in theory and praxis. Mathematics and Computation Tech. Rep. 2/79, Department of Mathematics, University of Trondhelm, Norway 1979.
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