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What‘s the Common Ground of All Numerical and Analytical Techniques for Nonlinear Problems?

机译:非线性问题的所有数值和分析技术的共同点是什么?

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In this paper the author attempts to find out in very general meanings the common ground of all numerical and analytical techniques for nonlinear problems.By means of analyzing the finiteness or infiniteness of the fundamental operations necessary for mathematically solving a problem.the author points out that the key of any nonlineary technique is the way to transform a nonlinear problem to an infinite series of sub-problems which can be solved by finite number of fundamental operations.
机译:本文试图以一种非常笼统的意义找出非线性问题的所有数值和分析技术的共同点。通过分析数学解决问题所必需的基本运算的有限性或无限性,作者指出:任何非线性技术的关键在于将非线性问题转换为无穷多个子问题的方法,这些问题可以通过有限数量的基本运算来解决。

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