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Volumn 31, Issue 20, 1997, Pages 3459-3472

Benchmarking stiff ODE solvers for atmospheric chemistry problems II: Rosenbrock solvers

Author keywords

Air pollution modeling; Atmospheric chemistry; Numerical stiff ODEs; Rosenbrock methods; Sparsity

Indexed keywords

AIR POLLUTION; COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; INTEGRATION; MATHEMATICAL MODELS; MATRIX ALGEBRA;

EID: 0031259830     PISSN: 13522310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1352-2310(97)83212-8     Document Type: Article
Times cited : (175)

References (35)
  • 3
    • 0022554547 scopus 로고
    • A second generation model for regional-scale transport/chemistry/deposition
    • Carmichael, G. R., Peters, L. K. and Kitada, T. (1986) A second generation model for regional-scale transport/chemistry/deposition. Atmospheric Environment 20, 173-188.
    • (1986) Atmospheric Environment , vol.20 , pp. 173-188
    • Carmichael, G.R.1    Peters, L.K.2    Kitada, T.3
  • 4
    • 0342568883 scopus 로고    scopus 로고
    • Ftp site at the Center for Global and Regional Environmental Research, University of Iowa (cd pub/Ode_benchmark, mget *)
    • CGRER (1996) ftp.cgrer.uiowa.edu. Ftp site at the Center for Global and Regional Environmental Research, University of Iowa (cd pub/Ode_benchmark, mget *).
    • (1996)
  • 7
    • 0343438833 scopus 로고    scopus 로고
    • Personal communication, Institute for Marine and Atmospheric Research, University of Utrecht, The Netherlands
    • Dentener, F. (1996) Personal communication, Institute for Marine and Atmospheric Research, University of Utrecht, The Netherlands.
    • (1996)
    • Dentener, F.1
  • 8
    • 0004092156 scopus 로고
    • Ph.D. thesis, Institute for Marine and Atmospheric Research, University of Utrecht, The Netherlands
    • Dentener, F. (1993) Heterogeneous chemistry in the troposphere. Ph.D. thesis, Institute for Marine and Atmospheric Research, University of Utrecht, The Netherlands.
    • (1993) Heterogeneous Chemistry in the Troposphere
    • Dentener, F.1
  • 9
    • 0022386501 scopus 로고
    • Recent progress in extrapolation methods for ordinary differential equations
    • Deuflhard, P. (1985) Recent progress in extrapolation methods for ordinary differential equations. SIAM Rev. 27, 505-535.
    • (1985) SIAM Rev. , vol.27 , pp. 505-535
    • Deuflhard, P.1
  • 10
    • 0028527041 scopus 로고
    • Lq-decreasing monotonie schemes with complex coefficients and applications to complicated PDEs
    • Dnestrovskaya, E. Yu., Kalitkin, N. N. and Kusmina, L. V. (1994) Lq-decreasing monotonie schemes with complex coefficients and applications to complicated PDEs. Appl. Numer. Math. 15, 327-340.
    • (1994) Appl. Numer. Math. , vol.15 , pp. 327-340
    • Dnestrovskaya, E.Y.1    Kalitkin, N.N.2    Kusmina, L.V.3
  • 12
    • 0024844169 scopus 로고
    • A photochemical kinetics mechanism for urban and regional scale computer modeling
    • Gery, M. W., Whitten, G. Z., Killus, J. P. and Dodge, M. C. (1989) A photochemical kinetics mechanism for urban and regional scale computer modeling. J. geophys. Res., 94, 12,925-12,956.
    • (1989) J. Geophys. Res. , vol.94 , pp. 12925-12956
    • Gery, M.W.1    Whitten, G.Z.2    Killus, J.P.3    Dodge, M.C.4
  • 15
    • 0001811061 scopus 로고    scopus 로고
    • ODEPACK: A systematized collection of ODE solvers
    • Scientific Computing, ed. R. S. Stepleman, North-Holland, Amsterdam
    • Hindmarsh, A. C. ODEPACK: A systematized collection of ODE solvers. In IMACS Trans. on Scientific Computation, Vol. 1, Scientific Computing, ed. R. S. Stepleman, North-Holland, Amsterdam.
    • IMACS Trans. on Scientific Computation , vol.1
    • Hindmarsh, A.C.1
  • 16
    • 0028173748 scopus 로고
    • SMVGEAR: A sparse-matrix, vectorized gear code for atmospheric models
    • Jacobson, M. Z. and Turco, R. P. (1994) SMVGEAR: A sparse-matrix, vectorized gear code for atmospheric models. Atmospheric Environment 28, 273-284.
    • (1994) Atmospheric Environment , vol.28 , pp. 273-284
    • Jacobson, M.Z.1    Turco, R.P.2
  • 17
    • 0343438827 scopus 로고    scopus 로고
    • Personal communication, Institute for Marine and Atmospheric Research, University of Utrecht, The Netherlands
    • Krol, M. (1996) Personal communication, Institute for Marine and Atmospheric Research, University of Utrecht, The Netherlands.
    • (1996)
    • Krol, M.1
  • 18
    • 0001216536 scopus 로고
    • A chemical mechanism for use in long-range transport/acid deposition computer modeling
    • Lurmann, F. W., Loyd, A. C. and Atkinson, R. (1986) A chemical mechanism for use in long-range transport/acid deposition computer modeling. J. geophys. Res. 91, 10,905-10,936.
    • (1986) J. Geophys. Res. , vol.91 , pp. 10905-10936
    • Lurmann, F.W.1    Loyd, A.C.2    Atkinson, R.3
  • 19
    • 0027333055 scopus 로고
    • Test of two numerical schemes for use in atmospheric transport-chemistry models
    • Hertel, O., Berkowicz, R., Christensen, J. and Hov, Ø. (1993) Test of two numerical schemes for use in atmospheric transport-chemistry models. Atmospheric Environment 27 A, 2591-2611.
    • (1993) Atmospheric Environment , vol.27 A , pp. 2591-2611
    • Hertel, O.1    Berkowicz, R.2    Christensen, J.3    Hov, O.4
  • 20
    • 0343874626 scopus 로고
    • Personal communication, Laboratoire d'Aerologie OMP, Toulouse, France
    • Matthijssen, J. (1995) Personal communication, Laboratoire d'Aerologie OMP, Toulouse, France.
    • (1995)
    • Matthijssen, J.1
  • 21
    • 0001519679 scopus 로고
    • Some general implicit processes for the numerical solution of differential equations
    • Rosenbrock, H. H. (1963) Some general implicit processes for the numerical solution of differential equations. Comput. J. 5, 329-330.
    • (1963) Comput. J. , vol.5 , pp. 329-330
    • Rosenbrock, H.H.1
  • 22
    • 0030295513 scopus 로고    scopus 로고
    • Efficient implementation of fully implicit methods for atmospheric chemical kinetics
    • Sandu, A., Potra, F. A., Damian, V. and Carmichael, G. R. (1996a) Efficient implementation of fully implicit methods for atmospheric chemical kinetics. J. Comput. Phys. 129, 101-110.
    • (1996) J. Comput. Phys. , vol.129 , pp. 101-110
    • Sandu, A.1    Potra, F.A.2    Damian, V.3    Carmichael, G.R.4
  • 23
    • 0003713646 scopus 로고    scopus 로고
    • Benchmarking stiff ODE solvers for atmospheric chemistry problems I: Implicit versus explicit
    • CWI Report NM-R9603 and Report in Computational Mathematics no 85, Department of Mathematics, The University of Iowa.
    • Sandu, A., Verwer, J. G., van Loon, M., Carmichael, G. R., Potra, F. A., Dabdub, A. and Seinfeld, J. H., (1996b) Benchmarking stiff ODE solvers for atmospheric chemistry problems I: implicit versus explicit. CWI Report NM-R9603 and Report in Computational Mathematics no 85, Department of Mathematics, The University of Iowa. Revised form to appear in Atmospheric Environment.
    • (1996) Atmospheric Environment
    • Sandu, A.1    Verwer, J.G.2    Van Loon, M.3    Carmichael, G.R.4    Potra, F.A.5    Dabdub, A.6    Seinfeld, J.H.7
  • 26
    • 84968521971 scopus 로고
    • An attempt to avoid exact Jacobian and nonlinear equations in the numerical solution of stiff differential equations
    • Steihaug, T. and Wolfbrandt, A. (1979) An attempt to avoid exact Jacobian and nonlinear equations in the numerical solution of stiff differential equations. Math. Comp. 33, 521-534.
    • (1979) Math. Comp. , vol.33 , pp. 521-534
    • Steihaug, T.1    Wolfbrandt, A.2
  • 27
    • 0003562372 scopus 로고    scopus 로고
    • Ph.D. thesis, University of Amsterdam; (1997) CWI Tract 120. CWI, Amsterdam, The Netherlands
    • van Loon, M. (1996) Numerical methods in smog prediction. Ph.D. thesis, University of Amsterdam; (1997) CWI Tract 120. CWI, Amsterdam, The Netherlands.
    • (1996) Numerical Methods in Smog Prediction
    • Van Loon, M.1
  • 28
    • 0004218577 scopus 로고
    • S-stability properties for generalized Runge-Kutta methods
    • Verwer, J. G. (1977) S-stability properties for generalized Runge-Kutta methods. Numer. Math. 27, 359-370.
    • (1977) Numer. Math. , vol.27 , pp. 359-370
    • Verwer, J.G.1
  • 29
    • 0001637748 scopus 로고
    • Gauss-Seidel iterations for stiff ODEs from chemical kinetics
    • Verwer, J. G. (1994) Gauss-Seidel iterations for stiff ODEs from chemical kinetics. SIAM J. Scientific. Comput. 15, 1243-1250.
    • (1994) SIAM J. Scientific. Comput. , vol.15 , pp. 1243-1250
    • Verwer, J.G.1
  • 30
    • 0343438820 scopus 로고
    • Rosenbrock methods and time-lagged Jacobian matrices
    • Verwer, J. G. and Scholz, S. (1983) Rosenbrock methods and time-lagged Jacobian matrices. Beiträge zur Numer. Math. 11, 173-183.
    • (1983) Beiträge Zur Numer. Math. , vol.11 , pp. 173-183
    • Verwer, J.G.1    Scholz, S.2
  • 31
    • 0002355170 scopus 로고
    • Explicit methods for stiff ODEs from atmospheric chemistry
    • Verwer, J. G. and Simpson, D. (1995) Explicit methods for stiff ODEs from atmospheric chemistry. Appl. Numer. Math. 18, 413-430.
    • (1995) Appl. Numer. Math. , vol.18 , pp. 413-430
    • Verwer, J.G.1    Simpson, D.2
  • 32
    • 0020543902 scopus 로고
    • A class of Runge-Kutta-Rosenbrock methods for solving stiff differential equations
    • Verwer, J. G., Scholz, S., Blom, J. G. and Louter-Nool, M. (1983) A class of Runge-Kutta-Rosenbrock methods for solving stiff differential equations. Z. Angew. Math. Mech. 63, 13-20.
    • (1983) Z. Angew. Math. Mech. , vol.63 , pp. 13-20
    • Verwer, J.G.1    Scholz, S.2    Blom, J.G.3    Louter-Nool, M.4
  • 33
    • 0030082938 scopus 로고    scopus 로고
    • An implicit-explicit approach for atmospheric transport-chemistry problems
    • Verwer, J. G., Blom, J. G. and Hundsdorfer, W. (1996a) An implicit-explicit approach for atmospheric transport-chemistry problems. Appl. Numer. Math. 20, 191-209.
    • (1996) Appl. Numer. Math. , vol.20 , pp. 191-209
    • Verwer, J.G.1    Blom, J.G.2    Hundsdorfer, W.3
  • 34
    • 0029656235 scopus 로고    scopus 로고
    • A comparison of stiff ODE solvers for atmospheric chemistry problems
    • Verwer, J. G., Blom, J. G., van Loon, M. and Spee, E. J. (1996b) A comparison of stiff ODE solvers for atmospheric chemistry problems. Atmospheric Environment 30, 49-58.
    • (1996) Atmospheric Environment , vol.30 , pp. 49-58
    • Verwer, J.G.1    Blom, J.G.2    Van Loon, M.3    Spee, E.J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.