Rosenbrock strong stability-preserving methods for convection–diffusion–reaction equations
Rosenbrock strong stability-preserving methods for convection–diffusion–reaction equations
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Rosenbrock 对流扩散反应方程的强保稳方法
DOI：
10.1007/s13160-014-0143-7
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发表时间：
2014
影响因子：
0.9
通讯作者：
A. Yagi
中科院分区：
文献类型：
--
作者：
Doan Duy Hai;A. Yagi
Rosenbrock方法通常用于求解中等刚性问题，而强稳定性保持方法则用于求解双曲型守恒律。本文首次引入了它们的组合，即加性Rosenbrock-strong稳定保持格式（Ros-SSP）来处理对流-扩散-反应方程。考虑了ross - ssp方案的精度和稳定性。数值结果证明了ross - ssp方法的优越性。最后给出了求解二维空间离散血管生成模型的三阶段二阶Ros-SSP方法的实际应用。
Rosenbrock methods are normally used for solving moderately stiff problems and strong-stability preserving ones are employed a lot for hyperbolic conservation laws. Their combination called additive Rosenbrock-strong stability preserving (Ros-SSP) schemes are first introduced in this paper to deal with convection– diffusion–reaction equations. Accuracy and stability of the Ros-SSP scheme are considered. Numerical results are given to prove advantages of Ros-SSP methods. A practical application of a three-stage, second order Ros-SSP method solving a spatially discretized angiogenesis model in two-dimensional case is provided as well.
影响因子：
2.1
作者：
Saito, Norikazu
通讯作者：
Saito, Norikazu
超小型 MOSFET 结构量子漂移扩散模型的多维离散化
DOI：
--
发表时间：
2004
期刊：
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 23
影响因子：
--
作者：
K.Nishihara;T.Yang;H.Zhao;S.Odanaka
通讯作者：
S.Odanaka