DEVELOPMENT OF STIFF PDE SOLVERS IN VCELL

这个子项目是利用资源的许多研究子项目之一。 由NIH/NCRR资助的中心拨款提供。对子项目的主要支持 子项目的首席调查员可能是由其他来源提供的， 包括美国国立卫生研究院的其他来源。为子项目列出的总成本可能 表示该子项目使用的中心基础设施的估计数量， 不是由NCRR赠款提供给次级项目或次级项目工作人员的直接资金。 将实施的算法将有效地处理可能由机制反应和膜通量引起的刚性--由用户指定，因此事先不知道。归根结底，这些算法应该尽可能地“交钥匙”，以使生物使用者不必对数值积分的时间步长做出决定。将开发一种在存在巨大差异的时间尺度下具有稳定性能的PDE解算器(解算器)，该解算器将自动产生在给定容差(设置为达到生物应用的合理精度)内的解。生物应用的具体要求之一是求解器应该足够快。我们将在改进的时间离散化误差的基础上，追求基于算子分裂思想的顺序算法。

This subproject is one of many research subprojects utilizing the resources provided by a Center grant funded by NIH/NCRR. Primary support for the subproject and the subproject's principal investigator may have been provided by other sources, including other NIH sources. The Total Cost listed for the subproject likely represents the estimated amount of Center infrastructure utilized by the subproject, not direct funding provided by the NCRR grant to the subproject or subproject staff. Algorithms will be implemented that will cope effectively with stiffness that may arise from the mechanisms  reactions and membrane fluxes - that are specified by the user and, therefore, are not known in advance. Ultimately, the algorithms should be as "turn-key" as possible in order to relieve a biological user of making a decision about the time step of numerical integration. A PDE solver (solvers) with a stable performance in the presence of vastly different time scales will be developed that, which will automatically produce a solution within a given tolerance (set to achieve a reasonable for biological applications accuracy). One of the requirements specific for biological applications is that the solver should be sufficiently fast. We will pursue sequential algorithms based on the idea of operator splitting with an improved time discretization error.