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| 本帖產(chǎn)生 1 個 翻譯EPI ，點(diǎn)擊這里進(jìn)行查看 | |||
yearover銀蟲 (正式寫手)
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[求助]
一個偏于數(shù)學(xué)上的翻譯，請求指正
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a. The PWE method converges to the true value downward with the increasing of the numbers of plane waves. One hundred plane waves are needed to guarantee the relative error less than 1.0%. PWE方法隨著the numbers of plane waves的增加，向下收斂接近到精確解。100個plane waves可以保證相對誤差小于1%。 b. Results show that a very low convergence happens with the large n due to the well-known Gibbs oscillations at the interfaces while the computational time is increasing quickly. The reason is that the order of matrix in Eq. (11) is 4n+2, which leads to a large amount of matrix operation with a growth of power series manner. 當(dāng)n值很大時，收斂速度變慢，其原因是Gibbs oscillations at the interfaces ；同時需要大量的計算時間。原因是方程11中的矩陣的階數(shù)為4n+1，因此，隨著n的增大，矩陣計算過程（步驟）呈冪級數(shù)級增長。 如有不足之處請指教，謝謝 |
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jiujian1984
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2樓2012-05-29 12:43:54
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【答案】應(yīng)助回帖
★ ★ ★ ★ ★ ★
愛與雨下: 金幣+1 2012-05-29 19:36:53
yearover: 金幣+5, 翻譯EPI+1, ★有幫助, 謝謝，不過我把表達(dá)的意思說錯了，應(yīng)該是按照中文寫的英文，請看英文寫法是否正確。 2012-05-29 22:54:19
愛與雨下: 金幣+1 2012-05-29 19:36:53
yearover: 金幣+5, 翻譯EPI+1, ★有幫助, 謝謝，不過我把表達(dá)的意思說錯了，應(yīng)該是按照中文寫的英文，請看英文寫法是否正確。 2012-05-29 22:54:19
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a. The PWE method converges to the true value downward with the increasing of the numbers of plane waves. One hundred plane waves are needed to guarantee the relative error less than 1.0%. 隨著平面波數(shù)量的增加， PWE方法向下收斂接近到精確解。為保證相對誤差小于1%，需要100個平面波。 b. Results show that a very low convergence happens with the large n due to the well-known Gibbs oscillations at the interfaces while the computational time is increasing quickly. The reason is that the order of matrix in Eq. (11) is 4n+2, which leads to a large amount of matrix operation with a growth of power series manner. 結(jié)果顯示，當(dāng)n值很大時，收斂速度變慢，其原因是眾所周知的界面Gibbs振動，而同時需要的計算時間快速增加。原因是方程11中的矩陣的階數(shù)為4n+1，造成大量的矩陣計算過程（步驟）呈冪級數(shù)增長。 |
3樓2012-05-29 17:41:11
aixiaoxi123
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4樓2012-05-29 21:16:15
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yearover: 回帖置頂 2012-05-29 22:55:58
yearover: 取消置頂 2012-05-29 23:02:18
yearover: 取消置頂 2012-05-29 23:02:18
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我把意思表達(dá)錯了，應(yīng)該是根據(jù)中文翻譯成英文，請大家看看英文的表達(dá)是否有問題。 a. The PWE method converges to the true value downward with the increasing of the numbers of plane waves. One hundred plane waves are needed to guarantee the relative error less than 1.0%. PWE方法隨著the numbers of plane waves的增加，向下收斂接近到精確解。100個plane waves可以保證相對誤差小于1%。 b. Results show that a very low convergence happens with the large n due to the well-known Gibbs oscillations at the interfaces while the computational time is increasing quickly. The reason is that the order of matrix in Eq. (11) is 4n+2, which leads to a large amount of matrix operation with a growth of power series manner. |
5樓2012-05-29 22:55:47
yearover
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yearover: 回帖置頂 2012-05-29 23:01:07
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yearover: 回帖置頂 2012-05-29 23:02:00
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非常不好意思，我根據(jù)中文寫成了英文，這里請各位看看寫的英文是否有需要修改的地方。 a. The PWE method converges to the true value downward with the increasing of the numbers of plane waves. One hundred plane waves are needed to guarantee the relative error less than 1.0%. b. Results show that a very low convergence happens with the large n due to the well-known Gibbs oscillations at the interfaces while the computational time is increasing quickly. The reason is that the order of matrix in Eq. (11) is 4n+2, which leads to a large amount of matrix operation with a growth of power series manner. |
6樓2012-05-29 23:00:11
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7樓2012-05-29 23:13:37
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8樓2012-05-29 23:14:01
aixiaoxi123
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【答案】應(yīng)助回帖
★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★ ★
yearover: 金幣+20, ★★★★★最佳答案 2012-06-01 11:32:37
yearover: 金幣+20, ★★★★★最佳答案 2012-06-01 11:32:37
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a. The PWE method converges downward to the exact solution as the number of plane waves increases .When the the number of plane waves reaches 100,the relative error can be keept less than 1.0%. b. Results show that when the value of n is very large,the speed of convergence will be low due to the well-known Gibbs oscillations at the interfaces and at the same time,there needs a mount of time to caculate because the order of matrix of Eq. (11) is 4n+2,that is to say when n increases,the matrix caculation processes will increase by power series. |
9樓2012-05-31 21:44:18
10樓2012-05-31 21:49:30
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