二维变系数扩散方程交替分组显格式的稳定性分析  

STABILITY OF AGE METHORD FOR TWO-DIMENSIONAL PARABOLIC EQUATION WITH VARIABLE COEFFICIENT

作　　者：万正苏[1] 张宝琳 陈光南[3] 

机构地区：[1]上海大学数学系 [2]中国科学院计算机信息网络中心 [3]北京应用物理与计算数学研究所,计算物理实验室,北京100088

出　　处：《计算数学》2003年第2期129-144,共16页Mathematica Numerica Sinica

基　　金：国家自然科学基金(No.69973008);国家863计划(No.2001AA111043)资助项目.

摘　　要：The well-known AGE(Alternating Group Explicit)method is extended for solv-ing the two-dimensional parabolic with variable coefficients and the unconditional stability of the AGE method is proved by the energy method in the discrete L2-norm.The well-known AGE(Alternating Group Explicit)method is extended for solving the two-dimensional parabolic with variable coefficients and the unconditional stability of the AGE method is proved by the energy method in the discrete L2-norm.

关 键 词：二维变系数扩散方程 交替分组显格式算法 稳定性 抛物型方程 初边 非对称格式 

分 类 号：O241.8[理学—计算数学]