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Volumn 148, Issue 2, 2004, Pages 561-570

Analytical and numerical treatment of a singular initial value problem in avalanche modeling

Author keywords

Avalanche run out; Existence of solution; Implicit Euler method; Iterated defect correction; Leading edge model; Numerical solution; Singular initial value problem

Indexed keywords

AVALANCHES (SNOWSLIDES); COMPUTATIONAL METHODS; FLOW OF FLUIDS; ITERATIVE METHODS; MATHEMATICAL MODELS;

EID: 17144434591     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00919-0     Document Type: Article
Times cited : (25)

References (12)
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  • 2
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  • 4
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    • Initial value problems for systems of ordinary first and second order differential equations with a singularity of the first kind
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    • Koch, O.1    Kofler, P.2    Weinmüller, E.3
  • 5
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    • On the boundary value problem for systems of ordinary differential equations with a singularity of the second kind
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    • Hoog, F.D.1    Weiss, R.2
  • 6
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    • Efficient numerical solution of a singular initial value problem in avalanche modeling
    • Preprint Nr. 11/02, Inst. for Appl. Math. and Numer. Anal., Vienna Univ. of Technology, Austria, available at
    • O. Koch, A. Paul, A. Traxler, E. Weinmüller, Efficient numerical solution of a singular initial value problem in avalanche modeling, Techn. Rep. ANUM Preprint Nr. 11/02, Inst. for Appl. Math. and Numer. Anal., Vienna Univ. of Technology, Austria, available at http://www.math.tuwien.ac.at/̃inst115/preprints.htm (2002).
    • (2002) Techn. Rep. ANUM
    • Koch, O.1    Paul, A.2    Traxler, A.3    Weinmüller, E.4
  • 7
    • 0043277653 scopus 로고    scopus 로고
    • The application of shooting to singular boundary value problems
    • Inst. for Appl. Math. and Numer. Anal., Vienna Univ. of Technology, Austria
    • W. Auzinger, O. Koch, P. Kofler, E. Weinmüller, The application of shooting to singular boundary value problems, Techn. Rep. Nr. 126/99, Inst. for Appl. Math. and Numer. Anal., Vienna Univ. of Technology, Austria, available at http://fsmat.at/̃othmar/research.html (1999).
    • (1999) Techn. Rep. Nr. 126/99 , vol.126 , Issue.99
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  • 8
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    • The method of iterated defect correction and its application to two-point boundary value problems, Part I
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  • 9
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  • 10
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.