New integral transform techniques for computer algebra

计算机代数的新积分变换技术

• 批准号: 514860-2017
• 负责人: Kempf, Achim
• 金额: $ 1.82万
• 依托单位: University of Waterloo
• 依托单位国家: 加拿大
• 项目类别: Engage Grants Program
• 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=640141
• 关键词: New; integral; transform; techniques; computer

ubiquitously in the development and application of advanced technologies in science and engineering. To meetthis need, Maplesoft, based in Waterloo, Ontario, produces Maple, a mathematical and numerical programminglanguage that is one of the leading mathematical software platforms worldwide. It is used internationally forresearch in industry and academia, as well as an educational tool.Recent research by Prof. Achim Kempf at the University of Waterloo (and his collaborators) has yielded apowerful new integration technique. The new methods allow one to reduce large classes of integrals tosuccessive differentiations. This provides powerful new methods since, in contrast to prior methods,differentiations are very suitable for implementation in a computer algorithm. Implementing this new methodin the Maple software engine will greatly increase the speed of computation, enlarge the library of integralscomputable with Maple, and provide powerful new Canadian-made tools for engineers and scientistsworldwide.

在科学和工程的先进技术的开发和应用中无处不在。为了满足这一需求，Maplesoft，总部设在滑铁卢，安大略，产生Maple，一个数学和数值编程语言，是一个领先的数学软件平台世界各地。它在国际上被用于工业和学术界的研究，也是一种教育工具。滑铁卢大学的Achim Kempf教授（及其合作者）最近的研究产生了一种强大的新集成技术。新的方法允许一个减少大类的积分连续微分。这提供了强大的新方法，因为与现有方法相比，微分非常适合在计算机算法中实现。在Maple软件引擎中实现这一新方法，将大大提高计算速度，扩大Maple可计算的积分库，为世界各地的工程师和科学家提供强大的新工具。