Efficient High-Order Methods for Solution of Hyperbolic Problems

求解双曲问题的高效高阶方法

• 批准号: RGPIN-2017-05851
• 负责人: Krivodonova, Lilia
• 金额: $ 1.02万
• 依托单位: University of Waterloo
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635656
• 关键词: Efficient; Order; Methods; Solution; Hyperbolic

Physical processes around us, for example the movement of weather fronts, can be described using mathematical objects called partial differential equations. These equations are also used by engineers in developing new products or improving existing ones; for example they can be used to calculate lift and drag on an airplane wing. Such equations are too complex to be solved exactly, so we employ numerical methods to solve them approximately.

我们周围的物理过程，例如天气锋面的运动，可以用偏微分方程的数学对象来描述。工程师在开发新产品或改进现有产品时也会使用这些方程；例如，它们可以用来计算飞机机翼的升力和阻力。这些方程太复杂，无法精确求解，所以我们采用数值方法近似求解。