Wrapping Effect and Wrapping Function

Reliable Computing

Volumn 10, Issue 3, 1998, Pages 311-330

  Anguelov, Roumen ^a   Markov, Svetoslav ^b  

^a VISTA UNIVERSITY   (South Africa)

^b BULGARIAN ACADEMY OF SCIENCES   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0043193796     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1024414730820     Document Type: Article

References (9)

1. Dobronets, B. S.: On Some Two-Sided Methods for Solving Systems of Ordinary Differential Equations, Interval Computations 1 (3) (1992), pp. 6-19.
2. Eijgenraam, P.: The Solution of Initial Value Problems Using Interval Arithmetic, Mathematical Centre Tracks No 144, Mathematisch Centrum, Amsterdam, 1981.
3. Jackson, L.: Interval Arithmetic Error-Bounding Algorithms, SIAM J. Numer. Analysis 12 (1975), pp. 223-238.
4. Krückeberg, F.: Ordinary Differential Equations, in: Hansen, E. (ed.), Topics in Interval Analysis, Claredon Press, Oxford, 1969, pp. 91-97.
5. Lohner, R. J.: Enclosing the Solutions of Ordinary and Boundary Value Problems, in: Kaucher, E. W., Kulisch, U. W., and Ullrich, C. (eds), Computer Arithmetic: Scientific Computation and Programming Languages, Wiley-Teubner Series in Computer Science, Stuttgart, 1987, pp. 255-286.
6. Markov, S.: Isomorphic Embeddings of Abstract Interval Systems, Reliable Computing 3 (3) (1997), pp. 199-207.
7. Moore, R.: Methods and Applications of Interval Analysis, SIAM, Philadelphia, 1979.
8. Nedialkov, N. S., Jackson, K. R., and Corliss, G. F.: Validated Solutions of Initial Value Problems for Ordinary Differential Equations, Technical Report, Department of Computer Science, University of Toronto, 1997.
9. Nickel, K.: How to Fight the Wrapping Effect, in: Interval Mathematics '85, Lecture Notes in Computer Science 212, Springer, Berlin, 1985, pp. 121-132.