SPLITTING OF OPERATORS, ALTERNATE DIRECTIONS, AND PARAXIAL APPROXIMATIONS FOR THE 3-DIMENSIONAL WAVE-EQUATION

被引：37
作者：
COLLINO, F
JOLY, P
机构：
来源：
SIAM JOURNAL ON SCIENTIFIC COMPUTING | 1995年 / 16卷 / 05期
关键词：
3-DIMENSIONAL WAVE EQUATION; PARAXIAL APPROXIMATIONS; ALTERNATE DIRECTIONS; SPLITTING METHODS; ANISOTROPY;
D O I：
10.1137/0916059
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We design a family of new three-dimensional (3-D) paraxial equations well-adapted to numerical solution by the alternate directions method. These equations do not suffer from bad anisotropic effects and the cost for their numerical integration remains cheap in comparison with classical paraxial equations.
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页码：1019 / 1048
页数：30
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