메뉴 건너뛰기




Volumn 170, Issue 1, 2005, Pages 556-569

Non-negative solutions of ODEs

Author keywords

Initial value problems; Ordinary differential equations

Indexed keywords

CODES (SYMBOLS); INITIAL VALUE PROBLEMS; PROBLEM SOLVING;

EID: 26844446452     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.12.011     Document Type: Article
Times cited : (46)

References (19)
  • 2
    • 0003259286 scopus 로고    scopus 로고
    • Numerical solution of initial-value problems in differential-algebraic equations
    • SIAM Philadelphia
    • K.E. Brenan, S.L. Campbell, and L.R. Petzold Numerical solution of initial-value problems in differential-algebraic equations SIAM Classics in Applied Mathematics vol. 14 1996 SIAM Philadelphia
    • (1996) SIAM Classics in Applied Mathematics , vol.14
    • Brenan, K.E.1    Campbell, S.L.2    Petzold, L.R.3
  • 4
    • 0032532856 scopus 로고    scopus 로고
    • BzzOde: A new C++ class of stiff and non-stiff ordinary differential equation systems
    • G. Buzzi Ferraris, and D. Manca BzzOde: a new C++ class of stiff and non-stiff ordinary differential equation systems Comput. Chem. Eng. 22 1998 1595 1621
    • (1998) Comput. Chem. Eng. , vol.22 , pp. 1595-1621
    • Buzzi Ferraris, G.1    Manca, D.2
  • 6
    • 0008139921 scopus 로고
    • Are the numerical methods and software satisfactory for chemical kinetics?
    • J. Hinze, Numerical Integration of Differential Equations and Large Linear Systems, Springer New York
    • G. Dahlquist, L. Edsberg, G. Sköllermo, and G. Söderlind Are the numerical methods and software satisfactory for chemical kinetics? J. Hinze Numerical Integration of Differential Equations and Large Linear Systems Lecture Notes in Math. vol. 968 1982 Springer New York 149 164
    • (1982) Lecture Notes in Math. , vol.968 , pp. 149-164
    • Dahlquist, G.1    Edsberg, L.2    Sköllermo, G.3    Söderlind, G.4
  • 7
    • 0003908438 scopus 로고
    • Numerical methods for mass action kinetics
    • L. Lapidus W.E. Schiesser Academic New York
    • L. Edsberg Numerical methods for mass action kinetics L. Lapidus W.E. Schiesser Numerical Methods for Differential Systems 1976 Academic New York 181 195
    • (1976) Numerical Methods for Differential Systems , pp. 181-195
    • Edsberg, L.1
  • 8
    • 0007080557 scopus 로고
    • Comparing numerical methods for the solution of stiff systems of ODEs arising in chemistry
    • L. Lapidus W.E. Schiesser Academic New York
    • W.H. Enright, and T.E. Hull Comparing numerical methods for the solution of stiff systems of ODEs arising in chemistry L. Lapidus W.E. Schiesser Numerical Methods for Differential Systems 1976 Academic New York 48 66
    • (1976) Numerical Methods for Differential Systems , pp. 48-66
    • Enright, W.H.1    Hull, T.E.2
  • 9
    • 0002293761 scopus 로고
    • Applications of EPISODE: An experimental package for the integration of systems of ordinary differential equations
    • L. Lapidus W.E. Schiesser Academic New York
    • A.C. Hindmarsh, and G.D. Byrne Applications of EPISODE: an experimental package for the integration of systems of ordinary differential equations L. Lapidus W.E. Schiesser Numerical Methods for Differential Systems 1976 Academic New York 147 166
    • (1976) Numerical Methods for Differential Systems , pp. 147-166
    • Hindmarsh, A.C.1    Byrne, G.D.2
  • 10
    • 26844566737 scopus 로고    scopus 로고
    • Private communication, Biology Dept., Univ. of South Florida, Tampa, FL
    • G.R. Huxel, Private communication, Biology Dept., Univ. of South Florida, Tampa, FL, 2004.
    • (2004)
    • Huxel, G.R.1
  • 11
    • 26844447471 scopus 로고
    • On solving the stiff ODEs of the kinetics of chemically reacting gas flow
    • Berkeley, CA
    • I. Karasalo, J. Kurylo, On solving the stiff ODEs of the kinetics of chemically reacting gas flow, Lawrence Berkeley Lab. Rept., Berkeley, CA, 1979.
    • (1979) Lawrence Berkeley Lab. Rept.
    • Karasalo, I.1    Kurylo, J.2
  • 12
    • 26844466508 scopus 로고    scopus 로고
    • Matlab, The MathWorks, Inc., 3 Apple Hill Dr., Natick, MA 01760, 2004
    • Matlab, The MathWorks, Inc., 3 Apple Hill Dr., Natick, MA 01760, 2004.
  • 13
    • 26844502017 scopus 로고    scopus 로고
    • Private communication, Math. and Engr., Lehigh Univ., Bethlehem, PA
    • W.E. Schiesser, Private communication, Math. and Engr., Lehigh Univ., Bethlehem, PA, 2004.
    • (2004)
    • Schiesser, W.E.1
  • 15
    • 0022786742 scopus 로고
    • Conservation laws and the numerical solution of ODEs
    • L.F. Shampine Conservation laws and the numerical solution of ODEs Comp. Math. Appl. 12B 1986 1287 1296
    • (1986) Comp. Math. Appl. , vol.12 , pp. 1287-1296
    • Shampine, L.F.1
  • 16
    • 0033165317 scopus 로고    scopus 로고
    • Conservation laws and the numerical solution of ODEs, II
    • L.F. Shampine Conservation laws and the numerical solution of ODEs, II Comp. Math. Appl. 38 1999 61 72
    • (1999) Comp. Math. Appl. , vol.38 , pp. 61-72
    • Shampine, L.F.1
  • 18
    • 0030084487 scopus 로고    scopus 로고
    • Analysis and implementation of TR-BDF2
    • L.F. Shampine, and M.E. Hosea Analysis and implementation of TR-BDF2 Appl. Numer. Math. 20 1996 21 37
    • (1996) Appl. Numer. Math. , vol.20 , pp. 21-37
    • Shampine, L.F.1    Hosea, M.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.