Abstract

A new numerical algorithm for solving parabolic equations by balance & characteristic difference schemes is proposed. The balance and characteristic schemes combine the advantages of conservative and characteristic schemes. The main advantage of the new algorithm is that it is explicit and is implemented on the most compact computational template in one space-time computational cell. It scales perfectly and is extremely economical in software systems that implement the CABARET scheme because it uses the existing data structure there.

中文翻译：

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抛物线型方程的平衡和特征差分格式

摘要

提出了一种利用平衡与特征差分​​方案求解抛物线方程组的新数值算法。平衡方案和特征方案结合了保守方案和特征方案的优点。新算法的主要优点是它是显式的，并在一个时空计算单元中以最紧凑的计算模板实现。它可以完美缩放，并且在实现CABARET方案的软件系统中非常经济，因为它使用了那里的现有数据结构。