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相关概念视频

One-Degree-of-Freedom System01:24

One-Degree-of-Freedom System

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In mechanical engineering, one-degree-of-freedom systems form the basis of a wide range of electrical and mechanical components. Using these models, engineers can predict the behavior of various parts in a larger system, which gives them insight into how different forces interact with each other.
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
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Area Computation by the Alternative Coordinate Method01:24

Area Computation by the Alternative Coordinate Method

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The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
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Collisions in Multiple Dimensions: Problem Solving01:06

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In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
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It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a...
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Three-Dimensional Force System:Problem Solving01:30

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A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
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Reduced Mass Coordinates: Isolated Two-body Problem01:12

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In classical mechanics, the two-body problem is one of the fundamental problems describing the motion of two interacting bodies under gravity or any other central force. When considering the motion of two bodies, one of the most important concepts is the reduced mass coordinates, a quantity that allows the two-body problem to be solved like a single-body problem. In these circumstances, it is assumed that a single body with reduced mass revolves around another body fixed in a position with an...
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完全配置的并行多坐标下降方法 互动互动

Yuejia Zhang1, Weiguo Gao1,2,3,4, Yingzhou Li1,3,4

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概括
此摘要是机器生成的。

我们开发了一个用于电子结构计算的多线程并行算法. 这种高效的方法加速了现代多核系统上的全配置交互计算.

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科学领域:

  • 计算化学的计算化学
  • 量子化学 是一个量子化学.
  • 材料科学 材料科学 材料科学

背景情况:

  • 全配置交互 (FCI) 是用于电子结构计算的高精度量子化学方法.
  • 精确的FCI解决方案在计算上是难以解决的,因为除了最小的系统,所有系统都是难以解决的,因为问题大小的指数级扩展.
  • 有效的算法对于处理更大,更复杂的分子系统至关重要.

研究的目的:

  • 在FCI框架内开发一种新的,高效的并行算法,用于解决电子结构基本状态问题.
  • 为了使以前太大而无法进行精确的FCI处理的系统能够进行精确的量子化学计算.
  • 为了利用现代并行计算架构,在电子结构计算中显著加快速度.

主要方法:

  • 开发一个多线程平行坐标下降全配置交互算法 (mCDFCI).
  • 重构FCI问题作为一个不受约束的最小化问题.
  • 应用修改后的块坐标下降方法与确定性压缩,以实现高效的确定性优先级和更新.
  • 为共享内存,多核计算基础设施优化并行化策略.

主要成果:

  • 通过在阿尔里希斯SV基础上计算二元体 (Cr2) 的精确基准能量的计算,证明了mCDFCI的效率,涉及2.07 × 10 ^ 9的变化决定因素.
  • 使用cc-pVQZ基础集生成二元 (N2) 的结合曲线.
  • 在128个核心上实现了高达79.3%的并行效率,展示了显著的计算速度.

结论:

  • mCDFCI算法为准确的电子结构计算提供了一种高效和可扩展的方法.
  • 该方法有效地处理大型FCI问题,使复杂的分子系统能够进行准确的计算.
  • 证明的并行效率突出显示了该算法的适用于高性能计算环境的适用性.