Interval mathematical library based on Chebyshev and Taylor series expansion

Reliable Computing

Volumn 11, Issue 5, 2005, Pages 359-367

  Ershov, Alexei G ^a   Kashevarova, Tamara P ^b  

^a LEDAS Ltd   (Russian Federation)

^b A P ERSHOV INSTITUTE OF INFORMATICS SYSTEMS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

CHEBYSHEV APPROXIMATION; COMPUTATIONAL METHODS; COSTS; ERRORS; FUNCTIONS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

ACCURACY; MATHEMATICAL FUNCTIONS; MATHEMATICAL LIBRARY; TAYLOR SERIES EXPANSION;

DIGITAL LIBRARIES;

EID: 23844523434     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11155-005-0042-3     Document Type: Conference Paper

References (7)

1. Alefeld, G. and Herzberger, Ju.: Introduction to Interval Computations, Academic Press, New York, 1983.
2. Berezin, I. S. and Zhidkov, N. P.; Numerical Methods, Volume 1, Fizmatgiz, Moscow, 1959 (in Russian).
3. Hansen, E.: Global Optimisation Using Interval Analysis, New York, Marcel Dekker, 1992.
4. Klatte, R., Kulisch, U., Neaga, M., Ratz, D., and Ulrich, Gh.: PASCAL-XSC. Language Reference with Examples, Springer-Verlag, Berlin, Heidelberg, 1992.
5. Kleymenov, A., Petunin, D., Semenov, A., and Vazhev, I.: A Model of Cooperative Solvers for Computational Problems, in: Proceed, of the 4th International Conference PPAM 2001, Poland, Lecture Notes in Comp. Science 2328, pp. 797-802.
6. Luke, Y. L.: The Special Functions and Their Approximations, Vol. 1, 2, Academic Press, New York, 1969.
7. Remez, Y. Ya.: The Fundamentals of Numerical Methods of Chebyshev Approximation, Naukova Dumka, Kiev, 1969 (in Russian).