The engineering relevance of Acoustics

声学的工程相关性

• 批准号: EP/D507820/1
• 负责人: Keith Attenborough
• 金额: $ 4.1万
• 依托单位: University of Hull
• 依托单位国家: 英国
• 项目类别: Training Grant
• 财政年份: 2007
• 资助国家: 英国
• 起止时间: 2007 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FD507820%2F1
• 关键词: engineering; relevance; Acoustics

The mathematical demands of acoustics research are wide: ranging from solution of partial differential equations to the methods of digital signal processing. Some of the mathematical basics are covered by undergraduate mathematics for engineers but many important topics such as Green's function methods, asymptotic methods, integral transforms and variational calculus lie outside the typical engineering mathematics syllabus. Most researchers in acoustics do not have access to master level courses to broaden their postgraduate study. Consequently, the fundamental mathematical methodologies taught at undergraduate level are often advanced through independent learning by individual researchers. They develop their mathematical skills on a 'need-to-know' basis rather than being made aware of the potential of advanced mathematical tools at the onset of their research career. Feedback from two previous Support Mathematics for Acoustics Research Training Summer Schools suggests that they have been successful. It is proposed to mount a third such school in 2007 for up to 40 attendees. The School will consist of an intensive 5 days, with a high tutor/student ratio, devoted to lectures on mathematical topics supported by graded tutorials and computing laboratory classes. The course will make use of a book Lecture Notes for the Mathematics of Acoustics edited by Matthew Wright and will feature Lecturers who have the benefit of experience from the previous SMART Schools where they achieved good levels of student satisfaction.

声学研究的数学需求很广泛：从偏微分方程的求解到数字信号处理方法。工程师的本科数学涵盖了一些数学基础知识，但许多重要主题（例如格林函数方法、渐近方法、积分变换和变分微积分）不在典型的工程数学教学大纲内。大多数声学研究人员无法获得硕士学位课程来扩大他们的研究生学习。因此，本科阶段教授的基本数学方法通常是通过个别研究人员的独立学习来推进的。他们在“需要知道”的基础上发展数学技能，而不是在研究生涯开始时就意识到先进数学工具的潜力。前两届声学研究支持数学培训暑期学校的反馈表明它们取得了成功。建议在 2007 年建立第三所此类学校，最多可容纳 40 名学生。学校将包括为期 5 天的密集课程，导师/学生比例较高，专门讲授数学主题的讲座，并提供分级教程和计算实验室课程。该课程将利用 Matthew Wright 编辑的《声学数学讲义》一书，并且讲师将受益于之前 SMART 学校的经验，在这些学校中，他们取得了良好的学生满意度。