RKC: An explicit solver for parabolic PDEs
RKC: An explicit solver for parabolic PDEs
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DOI：
10.1016/s0377-0427(97)00219-7
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发表时间：
1998-03-02
影响因子：
2.4
通讯作者：
Verwer, JG
中科院分区：
文献类型：
--
作者：
Sommeijer, BP;Shampine, LF;Verwer, JG
FORTRAN程序RKC用于用直线法离散抛物型偏微分方程组的时间积分。它基于一族Runge-Kutta-Chebyshev公式，其稳定界在级数上是二次的。该系列的显著特性使程序能够在每一步选择最有效、最稳定的配方以及最有效的步长。此外，它们使仅用几个存储向量即可计算显式公式成为可能。该程序的这些特点使得它对几个空间变量的问题特别有吸引力。在三个空间变量的两个测试问题上，将RKC与BDF求解器VODPK进行了比较。(C)1997 Elsevier Science B.V.保留所有权利。
The FORTRAN program RKC is intended for the time integration of parabolic partial differential equations discretized by the method of lines. It is based on a family of Runge-Kutta-Chebyshev formulas with a stability bound that is quadratic in the number of stages. Remarkable properties of the family make it possible for the program to select at each step the most efficient stable formula as well as the most efficient step size. Moreover, they make it possible to evaluate the explicit formulas in just a few vectors of storage. These characteristics of the program make it especially attractive for problems in several spatial variables. RKC is compared to the BDF solver VODPK on two test problems in three spatial variables. (C) 1997 Elsevier Science B.V. All rights reserved.