DEVELOPMENT OF STIFF PDE SOLVERS IN VCELL

VCELL 中刚性 PDE 求解器的开发

• 批准号: 8169569
• 负责人: BORIS SLEPCHENKO
• 金额: $ 3.26万
• 依托单位: UNIVERSITY OF CONNECTICUT SCH OF MED/DNT
• 依托单位国家: 美国
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-05-01 至 2011-04-30
• 项目状态: 已结题
• 来源: https://reporter.nih.gov/project-details/8169569
• 关键词: Algorithms; Biological; Computer Retrieval of Information on Scientific Projects Database; Development; Funding; Grant; Institution; Performance; Reaction; Research; Research Personnel; Resources; Solutions; Source; Specific qualifier value; Time; United States National Institutes of Health; base; coping; improved; membrane flux

This subproject is one of many research subprojects utilizing the resources provided by a Center grant funded by NIH/NCRR. The subproject and investigator (PI) may have received primary funding from another NIH source, and thus could be represented in other CRISP entries. The institution listed is for the Center, which is not necessarily the institution for the investigator. 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.

该副本是利用众多研究子项目之一 由NIH/NCRR资助的中心赠款提供的资源。子弹和 调查员（PI）可能已经从其他NIH来源获得了主要资金， 因此可以在其他清晰的条目中代表。列出的机构是 对于中心，这不一定是调查员的机构。 将实施算法，该算法将有效地应对由用户指定的机理反应和膜通量可能引起的刚度，因此并不提前知道。最终，该算法应尽可能地“交钥匙”，以减轻生物学用户对数值集成的时间步骤的决定。将开发出具有稳定性能的PDE求解器（求解器），将开发出截然不同的时间尺度，该求解器将在给定公差内自动产生溶液（设置为生物应用的准确性达到合理）。特定于生物应用的要求之一是求解器应足够快。我们将根据操作员分裂的想法来追求顺序算法，并改善时间离散误差。