Studies in numerical analysis with applications to biochemical systems

数值分析研究及其在生化系统中的应用

• 批准号: 371976-2010
• 负责人: Ilie, Silvana
• 金额: $ 1.09万
• 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: 2010
• 资助国家: 加拿大
• 起止时间: 2010-01-01 至 2011-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=461454
• 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，我在分析和改进数值算法方面有很强的背景，从以前的计算成本（例如指数）到实际（多项式）成本。建立在强大的平台上，我的成果，这种改进的微分代数方程求解，我计划开发和分析数值方法的数学模型的生化系统。我将构造技术来有效和精确地近似所研究问题的解。这些方法将导致现有软件的改进，这将使科学家能够解决比以前更具有挑战性的问题，并有效地近似和解释他们的模拟结果。