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Volumn , Issue , 2006, Pages 36-44

ValEncIA-IVP: A comparison with other initial value problem solvers

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF STATE; INITIAL VALUE PROBLEMS; UNCERTAINTY ANALYSIS;

EID: 47849100672     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SCAN.2006.47     Document Type: Conference Paper
Times cited : (53)

References (13)
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    • E. Auer, A. Rauh, E. P. Hofer, and W. Luther. Validated Modeling of Mechanical Systems with SMARTMOBILE: Improvement of Performance by VALENCIA-IVP. In Proc. of Dagstuhl Seminar 06021: Reliable Implementation of Real Number Algorithms: Theory and Practice, Lecture Notes in Computer Science, 2006. In print.
    • (2006) Lecture Notes in Computer Science
    • Auer, E.1    Rauh, A.2    Hofer, E.P.3    Luther, W.4
  • 2
    • 0005379467 scopus 로고    scopus 로고
    • FADBAD, a Flexible C++ Package for Automatic Differentiation Using the Forward and Backward Methods
    • Technical Report 1996-x5-94, Technical University of Denmark, Lyngby
    • C. Bendsten and O. Stauning. FADBAD, a Flexible C++ Package for Automatic Differentiation Using the Forward and Backward Methods. Technical Report 1996-x5-94, Technical University of Denmark, Lyngby, 1996.
    • (1996)
    • Bendsten, C.1    Stauning, O.2
  • 3
    • 0005668167 scopus 로고    scopus 로고
    • TADIFF, a Flexible C++ Package for Automatic Differentiation Using Taylor Series
    • Technical Report 1997-x5-94, Technical University of Denmark, Lyngby
    • C. Bendsten and O. Stauning. TADIFF, a Flexible C++ Package for Automatic Differentiation Using Taylor Series. Technical Report 1997-x5-94, Technical University of Denmark, Lyngby, 1997.
    • (1997)
    • Bendsten, C.1    Stauning, O.2
  • 4
    • 33745309007 scopus 로고    scopus 로고
    • Performance of Taylor Model Methods for Validated Integration of ODEs
    • M. Berz and K. Makino. Performance of Taylor Model Methods for Validated Integration of ODEs. Lecture Notes in Computer Science, 3732:65-74, 2005.
    • (2005) Lecture Notes in Computer Science , vol.3732 , pp. 65-74
    • Berz, M.1    Makino, K.2
  • 5
    • 0001292188 scopus 로고    scopus 로고
    • O. Knüppel. PROFIL/BIAS - A Fast Interval Library. Computing, 53:277-287, 1994.
    • O. Knüppel. PROFIL/BIAS - A Fast Interval Library. Computing, 53:277-287, 1994.
  • 7
    • 0012271274 scopus 로고    scopus 로고
    • Rigorous Error Bounds for the Initial Value Problem Based on Defect Estimation
    • Technical report
    • W. Kühn. Rigorous Error Bounds for the Initial Value Problem Based on Defect Estimation. Technical report, 1999. http://www.decatur.de/wolfgang/ papers/index.html.
    • (1999)
    • Kühn, W.1
  • 9
    • 47849101458 scopus 로고    scopus 로고
    • Suppression of the Wrapping Effect by Taylor Model-Based Verified Integrators: The Single Step
    • In print. Online
    • K. Makino and M. Berz. Suppression of the Wrapping Effect by Taylor Model-Based Verified Integrators: The Single Step. International Journal of Pure and Applied Mathematics, 2005. In print. Online.
    • (2005) International Journal of Pure and Applied Mathematics
    • Makino, K.1    Berz, M.2
  • 11
    • 0035724114 scopus 로고    scopus 로고
    • An Effective High-Order Interval Method for Validating Existence and Uniqueness of the Solution of an IVP for an ODE
    • N. S. Nedialkov, K. R. Jackson, and J. D. Pryce. An Effective High-Order Interval Method for Validating Existence and Uniqueness of the Solution of an IVP for an ODE. Reliable Computing, 7:449-465, 2001.
    • (2001) Reliable Computing , vol.7 , pp. 449-465
    • Nedialkov, N.S.1    Jackson, K.R.2    Pryce, J.D.3
  • 12
    • 33749658569 scopus 로고    scopus 로고
    • Reduction of Overestimation in Interval Arithmetic Simulation of Biological Wastewater Treatment Processes
    • A. Rauh, M. Kletting, H. Aschemann, and E. P. Hofer. Reduction of Overestimation in Interval Arithmetic Simulation of Biological Wastewater Treatment Processes. Journal of Computational and Applied Mathematics, 199(2):207-212, 2007.
    • (2007) Journal of Computational and Applied Mathematics , vol.199 , Issue.2 , pp. 207-212
    • Rauh, A.1    Kletting, M.2    Aschemann, H.3    Hofer, E.P.4
  • 13
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    • A. Rauh, M. Kletting, and E. P. Hofer. Model-Based State and Parameter Estimation for Micro-Mechatronic Systems with Interval Bounded Uncertainties. In A. Weckenmann, editor, CD-Proc. of 10th CIRP Intl. Conference on Computer Aided Tolerancing, Erlangen, Germany, 2007, Reports from the Chair Quality Management and Manufacturing Metrology, QFM Report 16. Shaker Verlag, Aachen, 2007.
    • A. Rauh, M. Kletting, and E. P. Hofer. Model-Based State and Parameter Estimation for Micro-Mechatronic Systems with Interval Bounded Uncertainties. In A. Weckenmann, editor, CD-Proc. of 10th CIRP Intl. Conference on Computer Aided Tolerancing, Erlangen, Germany, 2007, Reports from the Chair Quality Management and Manufacturing Metrology, QFM Report 16. Shaker Verlag, Aachen, 2007.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.