积分方程反演新解法

来源期刊：中南大学学报(自然科学版)1998年第5期

论文作者：杨吉凡 宋守根

文章页码：11 - 12

关键词：积分方程;反演;算法

Key words：integral equation; inversion; algorithm

摘    要：将Geylkin等提出的积分方程正问题的求解推广到积分方程反问题求解，并给出详细的理论分析和算法描述．该方法可直接应用到地球物理勘探、无损探伤等科学领域，具有较大的理论价值和应用价值.

Abstract: In this paper we extend the method proposed by G.Geylkin et al to solve the inversion problem for integral equation. And also we made theoretical analysis and algorthm in detail. This method can be applied to geophysics and detection without destructive penetration. It possessses great theoretical value and practice value.