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Volumn 76, Issue 1-2, 2006, Pages 1-10

Solution of polynomial systems derived from differential equations

Author keywords

Boundary value problems; Differential equations; Homotopy continuation; Numerical algebraic geometry; Polynomial systems

Indexed keywords

HOMOTOPY CONTINUATION; NUMERICAL ALGEBRAIC GEOMETRY; POLYNOMIAL SYSTEMS;

EID: 27644523651     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00607-005-0132-4     Document Type: Article
Times cited : (24)

References (12)
  • 2
    • 12444284672 scopus 로고
    • A survey of homotopy methods for smooth mappings
    • Numerical solution of nonlinear equations (Bremen, 1980). Berlin: Springer
    • Allgower, E. L.: A survey of homotopy methods for smooth mappings. In: Numerical solution of nonlinear equations (Bremen, 1980). Lecture Notes in Math., vol. 878, pp. 1-29. Berlin: Springer 1981.
    • (1981) Lecture Notes in Math. , vol.878 , pp. 1-29
    • Allgower, E.L.1
  • 3
    • 84861270867 scopus 로고
    • Differentialgleichungen. Eine Einführung unter besonderer Berücksichtigung der Anwendungen. Dritte, überarbeitete und erweiterte Auflage
    • Stuttgart: Teubner
    • Collatz, L.: Differentialgleichungen. Eine Einführung unter besonderer Berücksichtigung der Anwendungen. Dritte, überarbeitete und erweiterte Auflage. Leitfaden der angewandten Mathematik und Mechanik, Bd. 1. Stuttgart: Teubner 1966.
    • (1966) Leitfaden der Angewandten Mathematik und Mechanik , vol.1
    • Collatz, L.1
  • 6
    • 0012266817 scopus 로고    scopus 로고
    • Improving the efficiency of exclusion algorithms
    • Georg, K.: Improving the efficiency of exclusion algorithms. Adv. Geom. 1(2), 193-210 (2001).
    • (2001) Adv. Geom. , vol.1 , Issue.2 , pp. 193-210
    • Georg, K.1
  • 8
    • 27644549117 scopus 로고
    • On the number of solutions of boundary value problems with convex nonlinearities
    • Laetsch, T.: On the number of solutions of boundary value problems with convex nonlinearities. J. Math. Anal. Appl. 55, 389-404 (1971).
    • (1971) J. Math. Anal. Appl. , vol.55 , pp. 389-404
    • Laetsch, T.1
  • 9
    • 67649659716 scopus 로고    scopus 로고
    • Numerical solution of polynomial systems by homotopy continuation methods
    • Amsterdam: North-Holland
    • Li, T. Y.: Numerical solution of polynomial systems by homotopy continuation methods. In: Handbook of numerical analysis, pp. 209-304. Amsterdam: North-Holland 2003.
    • (2003) Handbook of Numerical Analysis , pp. 209-304
    • Li, T.Y.1
  • 12
    • 4444366576 scopus 로고    scopus 로고
    • Introduction to numerical analysis
    • 3rd ed. New York: Springer 2002 (Translated from German by R. Bartels, W. Gautschi, and C. Witzgall)
    • Stoer, J., Bulirsch, R.: Introduction to numerical analysis. Texts in Applied Math., vol. 12, 3rd ed. New York: Springer 2002 (Translated from German by R. Bartels, W. Gautschi, and C. Witzgall).
    • Texts in Applied Math. , vol.12
    • Stoer, J.1    Bulirsch, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.