• 1. analytical numerical solution: 解析数值解
• 2. semi-analytical and semi-numerical solution: 半数值半解析解

• 1.For interaction problems between pile and infinite soil medium, a semi-analytical numerical solution is presented in this paper.
  本文对于桩基与无限土体介质的相互作用问题讨论一种半解析数值解法。
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• 2.Such a method is of the properties of both analytical solution and numerical solution methods.
  该方法既具有解析解法的特点，又具有数值解法的特点。
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• 3.Seven numerical methods had been tested recently by comparing the numerical results with the analytical solution of this paper to observe the features or weakness of some methods.
  用文中解析解的数值结果和七种数值计算方法的结果进行了比较，以考验这些方法的特点和缺陷。
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