EPSRC Centre for Doctoral Training in Mathematical Modelling, Analysis and Computation (MAC-MIGS)

博士培训中心MAC-MIGS将提供制定，分析和实施最先进的数学和计算模型的高级培训。提供的培训的愿景是，有效的现代建模必须将数据与以明确，严格的数学术语构建的法律相结合。CDT将为76名博士生提供为期4年的强化培训和研究计划，使他们具备应对数据密集型建模挑战所需的技能。新一代成功的建模专家将能够开发和分析数学模型，将其转换为有效的计算机代码，以最好地利用现有数据，解释结果，并在整个过程中与工业，商业和政府的用户进行沟通。数学和计算模型是21世纪技术的核心：它们支撑着科学、医学以及越来越多的社会科学，并影响着许多经济部门，包括高价值制造业、医疗保健、能源、物理基础设施和国家规划。当与巨大的计算能力和现有的数据量相结合时，这些模型提供了无与伦比的预测工具，可以系统地捕获现有的实验和观察证据。由于它们基于合理的演绎原理，因此在数据稀少或（通常情况下）在与相关现实世界场景不同的条件下获得的许多问题中，它们也是唯一有效的工具。开发和利用这些模型需要广泛的技能-从抽象数学到计算和数据科学-结合应用领域的专业知识。MAC-MIGS将通过跨越学科界限的广泛课程为学生提供这些技能，包括数学分析-纯，应用，数值和随机-数据科学和统计技术以及尖端应用所需的特定领域的先进知识。MAC-MIGS的学生将加入更广泛的麦克斯韦研究所研究生院在其位于爱丁堡市中心的全新基地。他们将受益于：㈠数学分析、计算数学、多尺度建模、模型简化、贝叶斯推理、不确定性量化、逆问题和数据同化以及机器学习等学科的专门学术培训; ㈡通过项目、建模营、工业沙坑和实习获得的协作和跨学科工作的丰富经验;（iii）出色的早期职业培训，重点关注创业精神;（iv）数学家和科学家的动态和前瞻性社区，分享合作，尊重以及社会和科学责任的强烈价值观。学生将融入一个充满活力的研究环境，与来自爱丁堡大学和赫瑞瓦特大学的数学家以及计算机科学家，工程师，物理学家和化学家组成的大约80名MAC-MIGS学者密切互动，提供自己的学科专业知识。学生将受益于MAC-MIGS的30多个工业和机构合作伙伴的多元化网络，涵盖广泛的应用领域：能源、工程设计、金融、计算机技术、医疗保健和环境。这些合作伙伴将提供实习，发展计划和研究项目，并帮助最大限度地提高我们的学生的工作的影响。我们的学术合作伙伴网络代表了美国和欧洲的十个领先机构，将进一步提供合作和研究访问的机会。

The Centre for Doctoral Training MAC-MIGS will provide advanced training in the formulation, analysis, and implementation of state-of-the-art mathematical and computational models. The vision for the training offered is that effective modern modelling must integrate data with laws framed in explicit, rigorous mathematical terms. The CDT will offer 76 PhD students an intensive 4-year training and research programme that equips them with the skills needed to tackle the challenges of data-intensive modelling. The new generation of successful modelling experts will be able to develop and analyse mathematical models, translate them into efficient computer codes that make best use of available data, interpret the results, and communicate throughout the process with users in industry, commerce and government. Mathematical and computational models are at the heart of 21st-century technology: they underpin science, medicine and, increasingly, social sciences, and impact many sectors of the economy including high-value manufacturing, healthcare, energy, physical infrastructure and national planning. When combined with the enormous computing power and volume of data now available, these models provide unmatched predictive tools which capture systematically the experimental and observational evidence available. Because they are based on sound deductive principles, they are also the only effective tool in many problems where data is either sparse or, as is often the case, acquired in conditions that differ from the relevant real-world scenarios. Developing and exploiting these models requires a broad range of skills - from abstract mathematics to computing and data science - combined with expertise in application areas. MAC-MIGS will equip its students with these skills through a broad programme that cuts across disciplinary boundaries to include mathematical analysis - pure, applied, numerical and stochastic - data-science and statistics techniques and the domain-specific advanced knowledge necessary for cutting-edge applications. MAC-MIGS students will join the broader Maxwell Institute Graduate School in its brand-new base located in central Edinburgh. They will benefit from (i) dedicated academic training in subjects that include mathematical analysis, computational mathematics, multi-scale modelling, model reduction, Bayesian inference, uncertainty quantification, inverse problems and data assimilation, and machine learning; (ii) extensive experience of collaborative and interdisciplinary work through projects, modelling camps, industrial sandpits and internships; (iii) outstanding early-career training, with a strong focus on entrepreneurship; and (iv) a dynamic and forward-looking community of mathematicians and scientists, sharing strong values of collaboration, respect, and social and scientific responsibility. The students will integrate a vibrant research environment, closely interacting with some 80 MAC-MIGS academics comprised of mathematicians from the universities of Edinburgh and Heriot-Watt as well as computer scientists, engineers, physicists and chemists providing their own disciplinary expertise.Students will benefit from MAC-MIGS's diverse network of more than 30 industrial and agency partners spanning a broad spectrum of application areas: energy, engineering design, finance, computer technology, healthcare and the environment. These partners will provide internships, development programmes and research projects, and help maximise the impact of our students' work. Our network of academic partners representing ten leading institutions in the US and Europe, will further provide opportunities for collaborations and research visits.