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Numerical computation of the coefficients in exponential fitting
Numerical Algorithms ( IF 1.7 ) Pub Date : 2020-08-30 , DOI: 10.1007/s11075-020-01000-w
L. Gr. Ixaru

We show that a direct numerical computation of the coefficients of any method based on the exponential fitting is possible. This makes unnecessary the knowledge of long sets of analytical expressions for the coefficients, as usually presented in the literature. Consequently, the task of any potential user for writing his/her own code becomes much simpler. The approach is illustrated on the case of the Numerov method for the Schrödinger equation, on a version for which the analytic expressions of coefficients are not known.



中文翻译:

指数拟合中系数的数值计算

我们表明,基于指数拟合的任何方法的系数的直接数值计算都是可能的。像文献中通常介绍的那样,这就不需要了解系数的长解析表达式集。因此,任何潜在用户编写他/她自己的代码的任务都变得更加简单。在针对Schrödinger方程的Numerov方法的情况下(在系数解析表达式未知的版本中)说明了该方法。

更新日期:2020-08-30
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