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Volumn 3732 LNCS, Issue , 2006, Pages 65-74

Performance of Taylor model methods for validated integration of ODEs

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATION THEORY; INTEGRATION; MATHEMATICAL MODELS; NATURAL SCIENCES COMPUTING;

EID: 33745309007     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11558958_8     Document Type: Conference Paper
Times cited : (21)

References (15)
  • 1
    • 0001847776 scopus 로고    scopus 로고
    • Efficient control of the dependency problem based on Taylor model methods
    • K. Makino and M. Berz. Efficient control of the dependency problem based on Taylor model methods. Reliable Computing, 5(1):3-12, 1999.
    • (1999) Reliable Computing , vol.5 , Issue.1 , pp. 3-12
    • Makino, K.1    Berz, M.2
  • 2
    • 0345371405 scopus 로고    scopus 로고
    • Taylor models and other validated functional inclusion methods
    • K. Makino and M. Berz. Taylor models and other validated functional inclusion methods. International Journal of Pure and Applied Mathematics, 6,3:239-316, 2003, available at http://bt.pa.msu.edu/pub.
    • (2003) International Journal of Pure and Applied Mathematics , vol.6 , Issue.3 , pp. 239-316
    • Makino, K.1    Berz, M.2
  • 3
    • 0000329979 scopus 로고    scopus 로고
    • Verified integration of ODEs and flows using differential algebraic methods on high-order Taylor models
    • M. Berz and K. Makino. Verified integration of ODEs and flows using differential algebraic methods on high-order Taylor models. Reliable Computing, 4(4):361-369, 1998.
    • (1998) Reliable Computing , vol.4 , Issue.4 , pp. 361-369
    • Berz, M.1    Makino, K.2
  • 6
    • 0006287995 scopus 로고    scopus 로고
    • Perturbative equations of motion and differential operators in non-planar curvilinear coordinates
    • K. Makino and M. Berz. Perturbative equations of motion and differential operators in non-planar curvilinear coordinates. International Journal of Applied Mathematics, 3,4:421-440, 2000.
    • (2000) International Journal of Applied Mathematics , vol.3 , Issue.4 , pp. 421-440
    • Makino, K.1    Berz, M.2
  • 7
    • 0006381161 scopus 로고    scopus 로고
    • Preservation of canonical structure in nonplanar curvilinear coordinates
    • M. Berz and K. Makino. Preservation of canonical structure in nonplanar curvilinear coordinates. International Journal of Applied Mathematics, 3,4:401-419, 2000.
    • (2000) International Journal of Applied Mathematics , vol.3 , Issue.4 , pp. 401-419
    • Berz, M.1    Makino, K.2
  • 8
    • 0000658111 scopus 로고
    • Arbitrary order description of arbitrary particle optical systems
    • M. Berz. Arbitrary order description of arbitrary particle optical systems. Nuclear Instruments and Methods, A298:426, 1990.
    • (1990) Nuclear Instruments and Methods , vol.A298 , pp. 426
    • Berz, M.1
  • 9
    • 33745320476 scopus 로고    scopus 로고
    • Suppression of the wrapping effect by Taylor model based validated integrators
    • submitted
    • K. Makino and M. Berz. Suppression of the wrapping effect by Taylor model based validated integrators, submitted. Also MSUHEP-40910, available at http://bt.pa.msu.edu/pub.
    • MSUHEP-40910
    • Makino, K.1    Berz, M.2
  • 10
    • 0000466527 scopus 로고
    • Enclosing the solutions of ordinary initial and boundary value problems
    • E. Kaucher, U. Kulisch, and C. Ullrich, editors. Teubner, Stuttgart
    • R. J. Lohner. Enclosing the solutions of ordinary initial and boundary value problems. In E. Kaucher, U. Kulisch, and C. Ullrich, editors, Computer Arithmetic: Scientific Computation and Programming Languages, pages 255-286. Teubner, Stuttgart, 1987.
    • (1987) Computer Arithmetic: Scientific Computation and Programming Languages , pp. 255-286
    • Lohner, R.J.1
  • 13
    • 33745289983 scopus 로고    scopus 로고
    • The method of shrink wrapping for the validated solution of ODEs
    • Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824
    • K. Makino and M. Berz. The method of shrink wrapping for the validated solution of ODEs. Technical Report MSUHEP-20510, Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, 2002.
    • (2002) Technical Report , vol.MSUHEP-20510
    • Makino, K.1    Berz, M.2
  • 14
    • 1042300822 scopus 로고
    • Monotonically convergent numerical two-sided, bounds for a differential birth and death process
    • K. Nickel, editor, Interval Mathematics, Berlin; New York. Springer-Verlag
    • W. F. Ames and E. Adams. Monotonically convergent numerical two-sided, bounds for a differential birth and death process. In K. Nickel, editor, Interval Mathematics, volume 29 of Lecture Notes in Computer Science, pages 135-140, Berlin; New York, 1975. Springer-Verlag.
    • (1975) Lecture Notes in Computer Science , vol.29 , pp. 135-140
    • Ames, W.F.1    Adams, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.