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Section B

A characteristic centred finite difference method for a 2D air pollution model

, &
Pages 2178-2198 | Received 15 Sep 2009, Accepted 13 Oct 2010, Published online: 28 Mar 2011

References

  • Blom , J. G. and Verwer , J. G. 2000 . A Comparison of integration methods for atmospheric transport chemistry problems . J. Comput. Appl. Math. , 126 : 381 – 396 .
  • Botchev , M. A. and Verwer , J. G. 2003 . A new approximate matrix factorization for implicit time integration in air pollution modelling . J. Comput. Appl. Math. , 157 : 309 – 327 .
  • Dang , Q. A. 1994 . Boundary operator method for approximate solution of biharmonic type equation . J. Math. , 22 : 114 – 120 .
  • Dang , Q. A. 1994 . Approximate method for solving an elliptic problem with discontinuous coefficients . J. Comput. Appl. Math. , 51 : 19 – 203 .
  • Dang , Q. A. 2006 . Iterative method for solving the Neumann boundary value problem for biharmonic type equation . J. Comput. Appl. Math. , 196 : 634 – 643 .
  • Dang , Q. A. and Ehrhardt , M. 2006 . Adequate numerical solution of air pollution problems by positive difference schemes on unbounded domains . Math. Comput. Modelling , 44 : 834 – 856 .
  • Douglas , J. and Russell , T. F. 1982 . Numerical methods for convection-dominated diffusion problem based on combining the method of characteristics with finite element or finite difference procedures . SIAM J. Numer. Anal. , 19 : 871 – 885 .
  • Frohn , L. M. , Christensen , J. H. and Brandt , J. 2002 . Development of a high-resolution nested air pollution model . J. Comput. Phys. , 179 : 68 – 94 .
  • Guo , S. B. and Zhang , Z. Y. 2007 . Numerical methods based on characteristic centered finite difference procedure for a class of nonlinear evolution equations . Chin. J. Comput. Phys. , 24 : 637 – 646 .
  • Krutitskii , P. A. 1997 . The pseudohyperbolic problem arising in the dynamics of stratified rotating fluids . Appl. Math. Lett. , 10 : 117 – 122 .
  • Li , R. H. , Chen , Z. Y. and Wu , W. 2000 . Generalized Difference Methods for Differential Equations: Numerical Analysis of Finite Volume Methods , NewYork : Marcel Dekker .
  • Li , J. P. and Chou , J. F. 2003 . The development of the nonlinear atmospheric dynamics (in Chinese) . Chin. J. Atmos. Sci. , 27 : 653 – 673 .
  • Li , S. W. , Shi , J. W. and Zhang , P. 2008 . The grey differential equation of air pollution and its numerical discretization . J. Grey Syst. , 20 : 109 – 118 .
  • Shyy , W. 1985 . A study of finite difference approximations to steady-state, convection-dominated flow problems . J. Comput. Phys. , 57 : 415 – 438 .
  • Wang , P. and Zhang , Z. Y. 2010 . Quadratic finite volume element method for the air pollution model . Int. J. Comput. Math , 87 : 2925 – 2944 .
  • Weiser , A. and Wheeler , M. F. 1988 . On convergence of block-centered finite differences for elliptic problems . SIAM J. Numer. Anal. , 25 : 351 – 375 .
  • Yuan , Y. R. 1998 . The characteristic finite difference fractional steps method for compressible two-phase displacement problem (in Chinese) . Sci. China Ser. A , 28 : 893 – 902 .
  • Yuan , Y. R. 2001 . Characteristic finite difference fractional steps methods for three-dimensional compressible multicomponent displacement problem . Acta Math. Appl. Sin. , 24 : 242 – 249 .
  • Zhang , Z. Y. and Lin , J. 2007 . Dynamics of Jovian atmospheres with applications of nonlinear singular vector method . Int. J. Numer. Methods Fluids , 55 : 713 – 721 .

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