메뉴 건너뛰기




Volumn 22, Issue 1-2, 2004, Pages 3-16

Testing weighted splitting schemes on a one-column transport-chemistry model

Author keywords

Numerical comparison; Parallelization; ROS AMF method; Strang splitting; Transport model; Weighted splitting

Indexed keywords

AIR POLLUTION; DIFFUSION; ERROR ANALYSIS;

EID: 5644280306     PISSN: 09574352     EISSN: None     Source Type: Journal    
DOI: 10.1504/ijep.2004.005473     Document Type: Conference Paper
Times cited : (15)

References (26)
  • 3
    • 0042139035 scopus 로고    scopus 로고
    • Time integration of the shallow water equations in spherical geometry
    • Lanser, D., Blom, J.G. and Verwer, J.G. (2001) 'Time integration of the shallow water equations in spherical geometry', J. Comput. Phys., Vol. 171, pp. 373-393.
    • (2001) J. Comput. Phys. , vol.171 , pp. 373-393
    • Lanser, D.1    Blom, J.G.2    Verwer, J.G.3
  • 4
    • 0012630605 scopus 로고
    • Some applications of splitting-up methods to the solution of mathematical physics problems
    • Marchuk, G.I. (1968) 'Some applications of splitting-up methods to the solution of mathematical physics problems', Aplik. Mat., Vol. 13, No. 2, pp. 103-132.
    • (1968) Aplik. Mat. , vol.13 , Issue.2 , pp. 103-132
    • Marchuk, G.I.1
  • 5
    • 0036679647 scopus 로고    scopus 로고
    • Operator splitting and approximate factorization for taxis-diffusion- reaction models
    • Gerisch, A. and Verwer, J.G. (2002) Operator splitting and approximate factorization for taxis-diffusion-reaction models', Appl. Numer. Math., Vol. 42, pp. 159-176.
    • (2002) Appl. Numer. Math. , vol.42 , pp. 159-176
    • Gerisch, A.1    Verwer, J.G.2
  • 6
    • 0001518684 scopus 로고
    • On the construction and comparison of difference schemes
    • Strang, G. (1968) 'On the construction and comparison of difference schemes', SIAM J. Numer. Anal., Vol. 5, No. 3, pp. 506-517.
    • (1968) SIAM J. Numer. Anal. , vol.5 , Issue.3 , pp. 506-517
    • Strang, G.1
  • 7
    • 0001005075 scopus 로고
    • Construction of higher order symplectic integrators
    • Yoshida, H. (1990) 'Construction of higher order symplectic integrators', Phys. Lett. A, Vol. 150, pp. 262-268.
    • (1990) Phys. Lett. A , vol.150 , pp. 262-268
    • Yoshida, H.1
  • 8
    • 5644295333 scopus 로고    scopus 로고
    • L-commutativity of the operators in splitting methods for air pollution models
    • Dimov, I., Faragó, I., Havasi, Á. and Zlatev, Z. (2002) 'L-commutativity of the operators in splitting methods for air pollution models', Annal. Univ. Sci. Sec. Math., Vol. 44, pp. 127-148.
    • (2002) Annal. Univ. Sci. Sec. Math. , vol.44 , pp. 127-148
    • Dimov, I.1    Faragó, I.2    Havasi, Á.3    Zlatev, Z.4
  • 9
    • 0033571420 scopus 로고    scopus 로고
    • Analysis of operator splitting for advection-diffusion-reaction problems in air pollution modelling
    • Lanser, D. and Verwer, J.G. (1999) 'Analysis of operator splitting for advection-diffusion-reaction problems in air pollution modelling', J. Comput. Appl. Math., Vol. 111, No. 1-2, pp. 201-216.
    • (1999) J. Comput. Appl. Math. , vol.111 , Issue.1-2 , pp. 201-216
    • Lanser, D.1    Verwer, J.G.2
  • 11
    • 0032183663 scopus 로고    scopus 로고
    • Implicit-explicit Runge-Kutta methods for computing atmospheric reactive flows
    • Knoth, O. and Wolke, R. (1998) 'Implicit-explicit Runge-Kutta methods for computing atmospheric reactive flows', Appl. Numer. Math., Vol. 28, pp. 327-341.
    • (1998) Appl. Numer. Math. , vol.28 , pp. 327-341
    • Knoth, O.1    Wolke, R.2
  • 12
    • 0033279637 scopus 로고    scopus 로고
    • A second-order Rosenbrock method applied to photochemical dispersion problems
    • Verwer, J.G., Spee, E.J., Blom, J.G. and Hundsdorfer, W. (1999) 'A second-order Rosenbrock method applied to photochemical dispersion problems', SIAM J. Sci. Comput., Vol. 20, No. 4, pp. 1456-1480.
    • (1999) SIAM J. Sci. Comput. , vol.20 , Issue.4 , pp. 1456-1480
    • Verwer, J.G.1    Spee, E.J.2    Blom, J.G.3    Hundsdorfer, W.4
  • 14
    • 0034351626 scopus 로고    scopus 로고
    • A comparison of integration methods for atmospheric transport-chemistry problems
    • Blom, J.G. and Verwer, J.G. (2000) 'A comparison of integration methods for atmospheric transport-chemistry problems', J. Comput. Appl. Math., Vol. 126, No. 1-2, pp. 381-396.
    • (2000) J. Comput. Appl. Math. , vol.126 , Issue.1-2 , pp. 381-396
    • Blom, J.G.1    Verwer, J.G.2
  • 15
    • 0042020164 scopus 로고    scopus 로고
    • A new approximate matrix factorization for implicit time integration in air pollution modeling
    • to be published
    • Botchev, M.A. and Verwer, J.G. (2003) 'A new approximate matrix factorization for implicit time integration in air pollution modeling', J. Comp. Appl. Math., to be published.
    • (2003) J. Comp. Appl. Math.
    • Botchev, M.A.1    Verwer, J.G.2
  • 16
    • 0042139034 scopus 로고    scopus 로고
    • Solution of time-dependent advection-diffusion problems with the sparse-grid combination technique and a Rosenbrock solver
    • Lastdrager, B., Koren B. and Verwer, J.G. (2001) 'Solution of time-dependent advection-diffusion problems with the sparse-grid combination technique and a Rosenbrock solver', Comput. Methods Appl. Math., Vol. 1, pp. 86-98.
    • (2001) Comput. Methods Appl. Math. , vol.1 , pp. 86-98
    • Lastdrager, B.1    Koren, B.2    Verwer, J.G.3
  • 17
    • 0009472127 scopus 로고
    • Accurate partial difference methods I: Linear Cauchy problems
    • Strang, G. (1963) 'Accurate partial difference methods I: Linear Cauchy problems', Archive for Rational Mechanics and Analysis, Vol. 12, pp. 392-402.
    • (1963) Archive for Rational Mechanics and Analysis , vol.12 , pp. 392-402
    • Strang, G.1
  • 18
    • 84862452174 scopus 로고    scopus 로고
    • Weighted sequential splittings and their analysis
    • to be published
    • Csomós, P., Faragó, I. and Havasi, Á. (2003) 'Weighted sequential splittings and their analysis', Comp. Math. Appl., to be published.
    • (2003) Comp. Math. Appl.
    • Csomós, P.1    Faragó, I.2    Havasi, Á.3
  • 19
    • 0002531178 scopus 로고
    • Unconditional convergence of some Crank-Nicolson LOD methods for initial-boundary value problems
    • Hundsdorfer, W. (1992) 'Unconditional convergence of some Crank-Nicolson LOD methods for initial-boundary value problems', Math. Comput., Vol. 58, No. 197, pp. 35-53.
    • (1992) Math. Comput. , vol.58 , Issue.197 , pp. 35-53
    • Hundsdorfer, W.1
  • 20
    • 0348111173 scopus 로고
    • Time dependent boundary and iterior forcing in locally one-dimensional schemes
    • Swayne, D.A. (1987) 'Time dependent boundary and iterior forcing in locally one-dimensional schemes', SIAM J. Sci. Statist. Comput., Vol. 8, pp. 755-767.
    • (1987) SIAM J. Sci. Statist. Comput. , vol.8 , pp. 755-767
    • Swayne, D.A.1
  • 22
    • 5644266042 scopus 로고    scopus 로고
    • Some aspects of multi-timescales issues for the numerical modeling of atmospheric chemistry
    • Chock, O.P. and Carmichael, G.R. (Editors), Springer
    • Sportisse, B. and Djouad, R. (2002) 'Some aspects of multi-timescales issues for the numerical modeling of atmospheric chemistry', in Chock, O.P. and Carmichael, G.R. (Editors) Atmospheric Modelling, IMA volumes in Mathematics and its Applications, No. 130, Springer, pp. 1-20.
    • (2002) Atmospheric Modelling, IMA Volumes in Mathematics and Its Applications , vol.130 , pp. 1-20
    • Sportisse, B.1    Djouad, R.2
  • 23
    • 0031259830 scopus 로고    scopus 로고
    • Benchmarking stiff ODE solvers for atmospheric chemistry problems II: Rosenbrock solvers
    • Sandu, A., Verwer, J.G., Blom, J.G., Spee, E.J. and Carmichael, G.R. (1997) 'Benchmarking stiff ODE solvers for atmospheric chemistry problems II: Rosenbrock solvers', Atm. Env., Vol. 31, pp. 3459-3472.
    • (1997) Atm. Env. , vol.31 , pp. 3459-3472
    • Sandu, A.1    Verwer, J.G.2    Blom, J.G.3    Spee, E.J.4    Carmichael, G.R.5
  • 24
    • 84862445999 scopus 로고    scopus 로고
    • TM3 model home page. IMAU, Utrecht University, Utrecht
    • http://www.phys.uu.nl/$/\\sim$peters/TM3/TM3S.html, the TM3 model home page. IMAU, Utrecht University, Utrecht.
  • 25
    • 0043068657 scopus 로고    scopus 로고
    • Positive numerical integration methods for chemical kinetic systems
    • Sandu, A. (2001) 'Positive numerical integration methods for chemical kinetic systems', J. Comput. Phys., Vol. 170, pp. 589-602.
    • (2001) J. Comput. Phys. , vol.170 , pp. 589-602
    • Sandu, A.1
  • 26
    • 0034740209 scopus 로고    scopus 로고
    • Splitting error estimation for micro-physical-multiphase chemical systems in meso-scale air quality models
    • Müller, F. (2002) 'Splitting error estimation for micro-physical-multiphase chemical systems in meso-scale air quality models', Atm. Env., Vol. 35, pp. 5749-5764.
    • (2002) Atm. Env. , vol.35 , pp. 5749-5764
    • Müller, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.