DEVELOPMENT OF STIFF PDE SOLVERS IN VCELL

VCELL 中刚性 PDE 求解器的开发

• 批准号: 8362496
• 负责人: BORIS SLEPCHENKO
• 金额: $ 2.11万
• 依托单位: UNIVERSITY OF CONNECTICUT SCH OF MED/DNT
• 依托单位国家: 美国
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-05-01 至 2012-04-30
• 项目状态: 已结题
• 来源: https://reporter.nih.gov/project-details/8362496
• 关键词: Algorithms; Biological; Cells; Development; Funding; Grant; Modeling; National Center for Research Resources; Performance; Principal Investigator; Reaction; Research; Research Infrastructure; Resources; Solutions; Source; Specific qualifier value; Time; United States National Institutes of Health; base; coping; cost; improved; membrane flux

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.

该副本是利用资源的众多研究子项目之一 由NIH/NCRR资助的中心赠款提供。对该子弹的主要支持 而且，副投影的主要研究员可能是其他来源提供的 包括其他NIH来源。 列出的总费用可能 代表subproject使用的中心基础架构的估计量， NCRR赠款不直接向子弹或副本人员提供的直接资金。 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。