Variable Step Numerical Schemes on Approximate Inertial Manifolds

近似惯性流形上的变步数值方案

• 批准号: 9302938
• 负责人: Anthony Chronopoulos
• 金额: $ 6万
• 依托单位: University of Minnesota-Twin Cities
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-09-01 至 1996-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9302938&HistoricalAwards=false
• 关键词: Variable; Step; Numerical; Schemes; Approximate

9302938 Chronopoulos This project will study the performance of numerical schemes which combine approximate inertial manifolds with variable step numerical integration. Special emphasis will be given to manifolds which are defined only implicitly, and which result in systems of differential algebraic equations. This research is expected to lead to stable and efficient computational methods for determining the long-time behavior of solutions to certain dissipative nonlinear partial differential equations. Application will be made to the Kuramoto-Sivashinsky and 2-D Navier-Stokes equations. ***

9302938 Chronopoulos本项目将研究数值格式的性能，该格式将联合收割机近似惯性流形与变步长数值积分相结合。 特别强调将给予流形的定义只隐含，并导致系统的微分代数方程。 该研究有望为确定某些耗散非线性偏微分方程解的长时间行为提供稳定有效的计算方法。 应用将作出Kuramoto-Sivashinsky和2-D Navier-Stokes方程。 ***