Computing equipment for scientific computing laboratory

对我们世界的重要物理和技术现象的研究一直吸引着研究人员的兴趣。这些研究的最终目的是更好地了解世界。 例如，气候变化的准确预测，股票市场衍生产品的公平定价，以及沿海波浪如何影响某个港口或海滩的现实模拟和可视化，都是影响经济，政府决策和政策以及日常生活的重要战略问题。为了研究这个世界，人们经常建立数学模型。 这些通常基于方程，例如，常微分方程或偏微分方程、线性或非线性代数方程、积分方程等。这些方程涉及几个物理量或其他量，其中一些是未知的，需要估计。 数学模型往往是无法解决的分析数学技术。数值方法用于求解或近似数学模型的解。这些方法以在计算机上运行的软件的形式实现。然而，数值方法以及计算可能会引入误差。 计算机结果进行了研究和可能的误差来源进行了调查。通常，结果的质量直接受到问题大小的影响。尺寸越大（例如，输入数据的数量、方程的数量等），结果越准确。解决大型问题的能力取决于具有快速处理器和大内存的计算机的可用性，以及可以编程并行工作的几台计算机的可用性。我们的团队致力于数值方法的开发和分析，以解决描述重要现实世界现象的数学问题，以及对所考虑问题的模拟和可视化的强大软件的实施，测试和评估。 这项研究只有在有现代计算机的情况下才能完成。

The study of important physical and technological phenomena of our world has always attracted the interest of researchers. The ultimate aim of such studies is to better understand the world.  For example, the accurate prediction of climate change, the fair pricing of derivative products in the stock market, and the realistic simulation and visualization of how coastal waves affect a certain harbour or beach, are all strategically important problems, that affect the economy, governmental decisions and policies, as well as everyday life. In order to study the world, mathematical models are often developed.  These are usually based on equations, for example, ordinary or partial differential equations, linear or non-linear algebraic equations, integral equations, etc. These equations relate several physical or other quantities, some of which are unknown and need to be estimated.  The mathematical models are often insolvable by analytic mathematical techniques. Numerical methods are applied to solve or approximate the solution to mathematical models. These methods are implemented in the form of software, which runs on computers. However, numerical methods as well as computations may introduce errors.  The computer results are studied and possible sources of errors are investigated. Often, the quality of the results is directly affected by the size of the problem. The larger the size (e.g. the number of input data, number of equations, etc) the more accurate the results. The ability to solve large problems depends on the availability of computers with fast processors and large memory, as well as the availability of several computers that can be programmed to work in parallel. Our group works on the development and analysis of numerical methods to solve mathematical problems that describe important real-world phenomena, and on the implementation, testing and evaluation of robust software for the simulation and visualization of the problems considered.  This research can be completed only if modern computers are available.