Studies in numerical analysis with applications to biochemical systems

数值分析及其在生化系统中的应用研究

• 批准号: 371976-2010
• 负责人: Ilie, Silvana
• 金额: $ 1.46万
• 依托单位: Ryerson University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2013
• 资助国家: 加拿大
• 起止时间: 2013-01-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=528441
• 关键词: Studies; numerical; analysis; applications; biochemical

My research is in the area of numerical analysis and scientific computing. Specifically, I have a strong background in the analysis and improvement of numerical algorithms from previous computational cost (e.g. exponential) to practical (polynomial) cost. Building on the strong platform of my results for such improvements in the differential algebraic equation solving, I plan to develop and analyze numerical methods for mathematical models of biochemical systems. I shall construct techniques for the efficient and accurate approximation of the solution to the problems under investigation. These methods will lead to improvement of existing software, which will allow scientists to solve more challenging problems than was previously possible and to effectively approximate and interpret the result of their simulations.

我的研究领域是数值分析和科学计算。 具体来说，我在数值算法从以前的计算成本（例如指数）到实际（多项式）成本的分析和改进方面拥有强大的背景。基于我在微分代数方程求解方面的改进成果的强大平台，我计划开发和分析生化系统数学模型的数值方法。我将构建有效且准确地近似解决所研究问题的技术。这些方法将改进现有软件，使科学家能够解决比以前更具挑战性的问题，并有效地近似和解释模拟结果。