A METHOD FOR THE SPATIAL DISCRETIZATION OF PARABOLIC EQUATIONS IN ONE SPACE VARIABLE

A METHOD FOR THE SPATIAL DISCRETIZATION OF PARABOLIC EQUATIONS IN ONE SPACE VARIABLE
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DOI:
10.1137/0911001
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发表时间:
1990-01-01
期刊:
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING
影响因子:
--
通讯作者:
BERZINS, M
BERZINS, M
中科院分区:
其他
文献类型:
--
作者:
SKEEL, RD;BERZINS, M

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本文讨论了一个空间变量的极、非极抛物型方程的空间离散方法。一个新的空间离散化方法,适用于在图书馆的程序。探讨了与其他方法的关系。通过截断误差分析和数值例子来说明新算法的准确性,并与最近的其他代码进行比较。
This paper is concerned with the design of a spatial discretization method for polar and nonpolar parabolic equations in one space variable. A new spatial discretization method suitable for use in a library program is derived. The relationship to other methods is explored. Truncation error analysis and numerical examples are used to illustrate the accuracy of the new algorithm and to compare it with other recent codes.