mollifier meaning in English
n.
1.安慰者。
2.【医学】缓和剂,镇静剂。
Examples
- Some properties of polynomial mollifier are presented and the conclusion that polynomial can consistently approximate continuous function is proved
给出多项式软化子的几个性质，并由此证得用多项式一致逼近连续函数的结论。 - Theoretical analysis and numerical testing results indicate that the mollifier method with its flexibility , stability and practicality , provides a new effective tool for numerically solving inverse problems
理论分析和数值试验结果表明：缓镇法灵活、稳定、实用，为数值求解反问题，提供了一个新的有效的工具。 - This thesis is to recommend a important class of regularized strategies for solving inverse problems - mollifier method . it anaysises the consistency , numerical stability and error estimates of mollified solution . similar to tikhonov regularization , a discrepancy principle for selecting the mol - lifier parameter is proven and applications to numerical differentiation and numerical inversion of abel transform and also given
本文将介绍求解反问题的一类重要的正则化策略?缓镇法，并基于用gauss核构造的缓镇算子，分析了缓镇解的相容性、数值稳定性和误差估计，与tikhonov正则化类似，我们证明了决定缓镇参数的偏差原理。 - We will regularize the equations by the standard mollifier to get the approximate solutions . then by making uniform estimates to the approximate solutions and by passing to the limit , we obtain the local existence for the above problem . then , based on the local existence of the classical solution , we discuss the blow - up criterion
我们主要研究了此方程组古典解的局部存在性，爆破准则以及通过粘性消失方法来研究如上方程组的局部存在性和收敛率问题，主要结论有： ( 1 )解的局部存在性利用光滑子对方程组进行正则化，从而得到原方程组的逼近解。