메뉴 건너뛰기




Volumn 22, Issue 4, 2006, Pages 514-532

Complexity of initial-value problems for ordinary differential equations of order k

Author keywords

Integral information; kth order initial value problems; Linear information; Standard information; Worst case complexity

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; DATA PROCESSING; PROBLEM SOLVING; STANDARDS;

EID: 33745981543     PISSN: 0885064X     EISSN: 10902708     Source Type: Journal    
DOI: 10.1016/j.jco.2006.03.002     Document Type: Article
Times cited : (5)

References (9)
  • 2
    • 0001949376 scopus 로고
    • How to increase the order to get minimal-error algorithms for systems of ODE
    • Kacewicz B. How to increase the order to get minimal-error algorithms for systems of ODE. Numer. Math. 45 1 (1984) 93-104
    • (1984) Numer. Math. , vol.45 , Issue.1 , pp. 93-104
    • Kacewicz, B.1
  • 3
    • 38249035279 scopus 로고
    • Optimal solution of ordinary differential equations
    • Kacewicz B. Optimal solution of ordinary differential equations. J. Complexity 3 (1987) 451-465
    • (1987) J. Complexity , vol.3 , pp. 451-465
    • Kacewicz, B.1
  • 4
    • 0036748224 scopus 로고    scopus 로고
    • Complexity of nonlinear two-point boundary-value problems
    • Kacewicz B. Complexity of nonlinear two-point boundary-value problems. J. Complexity 18 (2002) 702-738
    • (2002) J. Complexity , vol.18 , pp. 702-738
    • Kacewicz, B.1
  • 5
    • 10244234121 scopus 로고    scopus 로고
    • Randomized and quantum algorithms yield a speed-up for initial-value problems
    • see also 〈http://arXiv.org/abs/quant-ph/0311148〉
    • Kacewicz B. Randomized and quantum algorithms yield a speed-up for initial-value problems. J. Complexity 20 (2004) 821-834. http://arXiv.org/abs/quant-ph/0311148 see also 〈http://arXiv.org/abs/quant-ph/0311148〉
    • (2004) J. Complexity , vol.20 , pp. 821-834
    • Kacewicz, B.1
  • 6
    • 27144489692 scopus 로고    scopus 로고
    • B. Kacewicz, Improved bounds on the randomized and quantum complexity of initial-value problems, J. Complexity 21 (2005) 740-756, see also http://arxiv.org/abs/quant-ph/0405018.
  • 7
    • 33746003953 scopus 로고    scopus 로고
    • A. Klich, Integral information for solving initial-value problems in ordinary differential equations, WMS AGH, Master's Thesis, 2004 (in Polish).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.