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线性四步法的最优系数

张纪元   

  1. 南京华东工学院
  • 出版日期:1987-03-14 发布日期:1987-03-14

张纪元. 线性四步法的最优系数[J]. 计算数学, 1987, 9(3): 285-296.

OPTIMAL COEFFICIENTS IN FOUR-STEP LINEAR METHODS

  1. Zhang Ji-yuan East China Institute of Technology
  • Online:1987-03-14 Published:1987-03-14
线性四步法是求解一阶常微分方程初值问题:
In this paper, the optimization method is suggested for finding the coefficients in 4-steplinear formulae of numerical calculation of differential equations of first order. The mathema-tical models for finding optimal coefficients are built up by pursuing the minimum of the ab-solute value of the main error constant under the conditions which can enssure the convergencyand stability of 4-order formulae. Five strongly stable formulae are found. Practical calcula-tions have shown that the computational precision and stability are satisfactory.
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