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Volumn 7, Issue 4, 2001, Pages 307-319

Validated bounds for Taylor coefficients of analytic functions

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EID: 0035426375     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011411307404     Document Type: Article
Times cited : (9)

References (17)
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    • Standard Functions for Real and Complex Point and Interval Arguments with Dynamic Accuracy
    • Braune, K.: Standard Functions for Real and Complex Point and Interval Arguments with Dynamic Accuracy, Computing Supplementum 6 (1988), pp. 159-184.
    • (1988) Computing Supplementum , vol.6 , pp. 159-184
    • Braune, K.1
  • 3
    • 0002840694 scopus 로고
    • High-Accuracy Standard Functions for Real and Complex Intervals
    • Kaucher, E., Kulisch, U., and Ullrich, Ch. (eds), Teubner, Stuttgart
    • Braune, K. and Krämer, W.: High-Accuracy Standard Functions for Real and Complex Intervals, in: Kaucher, E., Kulisch, U., and Ullrich, Ch. (eds), Computerarithmetic: Scientific Computation and Programming Languages, Teubner, Stuttgart, 1987, pp. 81-114.
    • (1987) Computerarithmetic: Scientific Computation and Programming Languages , pp. 81-114
    • Braune, K.1    Krämer, W.2
  • 4
    • 0016485297 scopus 로고
    • Polynomial Approximation by Projections on the Unit Circle
    • Geddes, K. O. and Mason, J. C.: Polynomial Approximation by Projections on the Unit Circle, SIAM J. Numer. Anal. 12 (1975), pp. 111-120.
    • (1975) SIAM J. Numer. Anal. , vol.12 , pp. 111-120
    • Geddes, K.O.1    Mason, J.C.2
  • 6
    • 0342411023 scopus 로고
    • Circular Arithmetic and the Determination of Polynomial Zeros
    • Henrici, P.: Circular Arithmetic and the Determination of Polynomial Zeros, Springer Lecture Notes in Mathematics 228 (1971), pp. 86-92.
    • (1971) Springer Lecture Notes in Mathematics , vol.228 , pp. 86-92
    • Henrici, P.1
  • 8
    • 0006801780 scopus 로고
    • Inverse Standard Functions for Real and Complex Point and Interval Arguments with Dynamic Accuracy
    • Krämer, W.: Inverse Standard Functions for Real and Complex Point and Interval Arguments with Dynamic Accuracy, Computing Supplementum 6 (1988), pp. 185-212.
    • (1988) Computing Supplementum , vol.6 , pp. 185-212
    • Krämer, W.1
  • 9
    • 0004293209 scopus 로고
    • Prentice Hall, Englewood Cliffs, NJ
    • Moore, R. E.: Interval Analysis, Prentice Hall, Englewood Cliffs, NJ, 1966.
    • (1966) Interval Analysis
    • Moore, R.E.1
  • 10
    • 0032594370 scopus 로고    scopus 로고
    • An Enclosure Method for the Solution of Linear ODEs with Polynomial Coefficients
    • Neher, M.: An Enclosure Method for the Solution of Linear ODEs with Polynomial Coefficients, Numer. Funct. Anal. and Optimiz. 20 (1999), pp. 779-803.
    • (1999) Numer. Funct. Anal. and Optimiz. , vol.20 , pp. 779-803
    • Neher, M.1
  • 11
    • 21744462753 scopus 로고    scopus 로고
    • Enclosing Power Series Solutions of ODEs
    • Neher, M.: Enclosing Power Series Solutions of ODEs, ZAMM 77 (S2) (1997), pp. S635-S636.
    • (1997) ZAMM , vol.77 , Issue.S2
    • Neher, M.1
  • 12
    • 0012216474 scopus 로고    scopus 로고
    • Geometric Series Bounds for the Local Errors of Taylor Methods for Linear n-th Order ODEs
    • to appear in: Alefeld, G., Rohn, J., Rump, S., and Yamamoto, T. (eds.), Springer, Wien
    • Neher, M.: Geometric Series Bounds for the Local Errors of Taylor Methods for Linear n-th Order ODEs, to appear in: Alefeld, G., Rohn, J., Rump, S., and Yamamoto, T. (eds.), Symbolic-algebraic Methods and Verification Methods, Springer, Wien, 2001.
    • (2001) Symbolic-algebraic Methods and Verification Methods
    • Neher, M.1
  • 15
    • 0003230635 scopus 로고
    • Automatic Differentiation: Techniques and Applications
    • Springer, Berlin
    • Rail, L. B.: Automatic Differentiation: Techniques and Applications, Lecture Notes in Computer Science 120, Springer, Berlin, 1981.
    • (1981) Lecture Notes in Computer Science , vol.120
    • Rail, L.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.