我将从以下五个方面为您展开'galerkin'这个单词的说明:
1. 定义:'galerkin'是一种数学方法,尤其在有限元分析中被广泛使用。它的思想是通过构造一些合适的试探函数和加权函数,将原方程转化为一个待解的线性方程组。
2. 起源:该方法最初由俄罗斯数学家B.G. Galerkin在20世纪初提出,用于求解偏微分方程。
3. 应用:'galerkin'方法可以应用于各种领域,如计算机科学、物理学、工程学、地球科学等。它在数值计算、计算机图形学、计算流体动力学等方面有广泛应用。
4. 优势:使用'galerkin'方法可以避免繁琐的手工计算,大幅提高求解时的计算效率和精度。此外,该方法能够处理复杂的非线性方程,对于高维度问题也有很好的适应性。
5. 局限:'galerkin'方法存在一些局限,比如对于复杂的非线性问题,仍然需要耗费较多时间进行求解。此外,由于该方法需要选取合适的试探函数和加权函数,因此对于某些特定方程可能存在不适用的情况。
以下是5个中英例句:
1. The finite element method using a Galerkin approach for solving partial differential equations has become a standard tool in computational physics. (有限元方法使用Galerkin方法解决偏微分方程已经成为计算物理学中的标准工具)
2. The Galerkin method is a numerical procedure that utilizes trial functions to approximate the solution of partial differential equations. (Galerkin方法是一种利用试探函数逼近偏微分方程解的数值方法)
3. The efficient parallel Galerkin solver developed in our laboratory is applied to many scientific and engineering problems, such as fluid mechanics, solid mechanics, and electromagnetic fields. (我们实验室开发的高效并行Galerkin求解器已被应用于许多科学和工程问题,如流体力学、固体力学和电磁场)
4. The Galerkin method is widely used in the numerical analysis of partial differential equations due to its excellent stability and convergence properties. (由于Galerkin方法具有出色的稳定性和收敛性,因此它被广泛应用于偏微分方程的数值分析)
5. The Galerkin method was first introduced by the Russian mathematician Boris Galerkin in the early 20th century and has since become a cornerstone of modern numerical analysis. (Galerkin方法最早由俄罗斯数学家Boris Galerkin在20世纪初引入,并已成为现代数值分析的基石)
中文翻译:伽辽金
读音:gă lĭ jīn
例句:
1. 伽辽金方法是一种重要的数值求解器。
Galerkin method is an important numerical solver.
2. 偏微分方程的求解可以采用伽辽金方法。
Galerkin method can be used to solve partial differential equations.
galerkin的意思是"伽辽金法、人名",还经常被翻译为计,发音音标为[galerkin],galerkin常被用作名词,在《新英汉词典(第3版)》中,共找到93个与galerkin相关的例句。
Galerkin的中文翻译
1.伽辽金法
例句:He must have gotten into a gale and was trying to save the nets and the floats. (他一定是在大风浪中努力去收回他的渔网和鱼漂。)
2.人名
例句:Fisher, south-westerly, bearing westerly, six to Gale eight, perhaps severe Gale nine later. (菲舍 西南风 西风 风级六到八 稍后可能达九级)
3.计
例句:This past Friday, UTA unveiled a new identity, designed by Siegel+Gale. (刚刚过去的这个星期五,UTA推出一个新的身份,由西格尔+烈风设计。)
4.伽辽金、计
例句:Gale has been promoted to a captain in District 2 to help keep order and security. (翻译:盖尔被提拔为第二区的上尉 协助维护秩序与安全)
用法及短语
galerkin一般作为名词使用,如在Galerkin([计] 加勒金)、galerkin approximation(盖勒肯近似)、Galerkin method([计] 加勒金法)等常见短语中出现较多。
Galerkin | [计] 加勒金 |
galerkin approximation | 盖勒肯近似 |
Galerkin method | [计] 加勒金法 |
galerkin spectral method | 盖勒肯波谱法 |
Galerkin's method | 加勒金法 |
例句
1. This past Friday, UTA unveiled a new identity, designed by Siegel+Gale. (翻译:刚刚过去的这个星期五,UTA推出一个新的身份,由西格尔+烈风设计。)
2. Gale has been promoted to a captain in District 2 to help keep order and security. (翻译:盖尔被提拔为第二区的上尉 协助维护秩序与安全)
3. Where are all the sediments that appear to have been eroded from Meridiani Planum and places such as Gale Crater? (翻译:从子午线地盘与盖尔陨石坑等处侵蚀下来的沉积物到哪去了?)
4. The gale blew down the flagstaff. (翻译:狂风把旗杆吹倒了。)
5. The warmth in this region was on borrowed time as the cold gale revved up in the west. (翻译:当冷风在西边肆虐时,这个地区还能保持一段时间的热度。)
6. Gale's lawyers. More exactly, Gale's lawyer. Some good old boy in Austin. (翻译:戈尔的律师团 确切说只有一个律师 是他在奥斯丁的死党)
7. Gale, for our purposes, 96% will do just fine. (翻译:盖尔 就我们的目的来说 96%已经足够了)
8. At least until they kill me and Gale takes over. (翻译:至少在他们杀了我 让Gale接手之前是这样)
9. If differences arise in οpiniοns and habits, yοu must wοrk tο resοlνe them. (翻译:以后生活在一起 万一在思想上、生活习惯上格格不入的时候 一定要相互体谅,多多沟通)
10. We have to go, Gale, before they kill us. (翻译:我们必须离开 不让就来不及了 We have to go, Gale, before they kill us.)
11. Immigratiοn shοwed up at wοrk yesterday, luckily, I gοt there late. (翻译:昨天移民局的人到餐厅来抽查 还好,我迟到了 老样子)
12. She'll fly tο New Yοrk in abοut twο weeks, and will be staying with her cοusin. (翻译:她大概再过两个礼拜就会到达纽约 她会住在她表姐的家里)
13. Friday's execution of former philosophy professor David Gale. (翻译:哲学教授大卫·戈尔的死刑仍将在周五执行 不会推迟)
14. I'd like to thank my guests, Governor Hardin and Professor Gale from deathwatch. (翻译:谢谢我们的来宾 哈丁州长 死囚守护者组织的戈尔教授)
15. Then, the SRH of three cases of heavy rain, hail, gale are discussed. (翻译:根据此方法,分别计算、分析了暴雨、冰雹、大风三个天气个例的SRH。)
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