The basic thought of the csapfba algorithm is : the edge routers perform the state management per flow , and the edge routers differentiate between the marked flows and the non - marked flows , and the edge routers insert the relevant information into the packet header by using dynamic packet state ; the core routers divide the output link bandwidth into two parts in the light of the state information of the packet header by using class - based queueing , and the core routers allocate proportionally the bandwidth to the marked flows according to their service profiles and the current network load , and the core routers allocate the bandwidth to the non - marked flows according to the principle of max - min fairness , and the csapfba algorithm can adaptively dynamically adjust the bandwidth allocation between the marked flows and the non - marked flows 本文在csfq算法的基础上，提出了一种核心无状态的自适应的成比例公平带宽分配csapfba ( core - statelessadaptiveproportionalfairbandwidthallocation )算法。 csapfba算法的基本思想是：在边界路由器完成基于每个流的状态处理，将所有的流分成标记流和非标记流两种类型，采用dps技术将有关信息编码进分组头；在核心路由器根据分组头中携带的状态信息采用cbq策略，将输出链路带宽分成两部分，对标记流根据当前的网络负荷按照服务规格成比例地分配带宽，对非标记流按照最大最小公平性原则分配带宽，并且能自适应地动态调整带宽分配的比例。
This paper is divided into two sections : section 1 : in ref [ 1 ] , 2 - order ordinary differential initial value problems have the following the superconvergence results and the two - point boundary value problems with singular coefficients have the following the superconvergence results therefore , we have convergence results at the nodes of the linear interpolation for 2 - order ordinary differential initial value problems with singular coefficients section 2 : in ref [ 13 ] , the intensity ( e ) of the electric field in the emission of laser satisfies the nonlinear schrodinger equation it changes to ( 0 . 1 . 4 ) with the 2 - order ordinary differential problem with singular coefficients through evolution and by using the special solution in this paper , we only discuss the 2 - order ordinary differential initial value problems with singular coefficients 本文主要讨论了带奇异系数的二阶常微分方程初值问题的有限元解，并在此基础上研究了激光传输孤波初态的数值模拟。本文分成两部分：第一部分：在文献[ 1 ]中描述了二阶常微分方程初值问题的超收敛结果和带奇异系数的两点边值问题的超收敛结果在此基础上，我们得到了带奇异系数的二阶常微分方程初值问题在节点处线性插值时的有限元解的收敛性第二部分：在文献[ 13 ]中提出了激光的发射机理，其中它的电场强度
