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Feng Guolin, Cao Hongxing, Gu Xianqian, et al. A new scheme for improving the accuracy of numerical predition —retrospective time integration scheme. J Appl Meteor Sci, 2002, 13(2): 207-217. .
Citation: Feng Guolin, Cao Hongxing, Gu Xianqian, et al. A new scheme for improving the accuracy of numerical predition —retrospective time integration scheme. J Appl Meteor Sci, 2002, 13(2): 207-217. .
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A NEW SCHEME FOR IMPROVING THE ACCURACY OF NUMERICAL PREDITION —RETROSPECTIVE TIME INTEGRATION SCHEME

  • 1.

    Mathematics and Physics College, Yangzhou University, Yangzhou 225009

  • 2.

    Chinese Academy of Meteorological Sciences, Beijing 100081

  • 3.

    CMA Training Center, Beijing 100081

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    Abstract
  • To put more information into difference scheme of a differential equation for making an accurate prediction, a new kind of time integration scheme, known as the retrospective scheme, is proposed on the basis of the memorial dynamics. Stability criteria of the scheme of an advection equation in certain conditions are derived mathematically. The computations for the advection equation have been conducted with its retrospective scheme. It is shown that the accuracy of the scheme is much higher than that of the leapfrog difference scheme. The retrospective time integration scheme can be applied to oceanography, hydrology, environmental sciences, aviation and so on.
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    • Received : 2000-02-01
    • Accepted : 2000-09-24
    • Published : 2002-04-29
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