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解周期初值问题的两步显式P-稳定方法

TWO-STEP EXPLICIT P-STABLE METHOD FOR PERIODIC IVPS
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摘要 本文提出了解二阶周期初值问题的两步显式P-稳定方法,其代数阶为2,而相滞阶是4.基于一种特殊的向量运算,将这一方法拓展成向量可行的.数值试验表明了方法的有效性.
出处 《南京大学学报(数学半年刊)》 CAS 2003年第2期151-160,共10页 Journal of Nanjing University(Mathematical Biquarterly)
基金 安徽省教育厅自然科学基金
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参考文献14

  • 1Lambert J D and Watson I A. Symmetric Multlstep Methods for Periodic Initial Problems. J Inst Math Apl, 1976, 18: 189-202.
  • 2Coleman J P. Numerical Methods for y〃 =f(x,y) via Rational Approximations for the Consine.IMA J Numer Anal, 1989, 9: 145-165.
  • 3Chawla M and Rao P S. High-Accuracy P-Stable Methods for y〃 =f(t,y). IMA J Numer Anal, 1985, 5: 215-220.
  • 4Chawla M and Rao P S. Two-Step Fourth-Order P-Stable Methods with Phase Lag of OrderSix for y〃=f(t,y). J Comput Appl Math, 1986, 16: 233-236.
  • 5Simos T E. A Four-Step Method for the Numerical Solution of the Schrodinger Equation. J Comput Appl Math, 1990, 30: 251-255.
  • 6Xiang K L. High Accuracy P- Stable Metods with Minimal Phase-Lag for y〃 =f(t,y). JCM,1995, 13: 232-242.
  • 7Van Deale Met. al. On a Class of P-Stable Mono-Implicit Runge-Kutta-Nystrom Methods.Appl Numer Math , 1998, 27: 69-82.
  • 8Wu X Y. A Sixth-Order A-Stable Explicit One-Step Method for Stiff Systems. Comput Math Appl, 1998, 35:59-64.
  • 9Wu X Y and Xia J L. The Vector Form of a Sixth-Order A-Stable Explicit One-Step Method for Stiff Problems. Comput Math Appl , 2000, 39: 247-257.
  • 10Wu X Y and Xia J L. An Explicit Two-Step Method Exact for the Scalar Test Equation y′=λy. Comput Math Appl , 2000, 39:249-257.

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