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yearover銀蟲 (正式寫手)
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[求助]
一個(gè)偏于數(shù)學(xué)上的翻譯，請(qǐng)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(gè)plane waves可以保證相對(duì)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(shí)，收斂速度變慢，其原因是Gibbs oscillations at the interfaces ；同時(shí)需要大量的計(jì)算時(shí)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(jì)算過程（步驟）呈冪級(jí)數(shù)級(jí)增長(zhǎng)。 如有不足之處請(qǐng)指教，謝謝 |
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aixiaoxi123
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4樓2012-05-29 21:16:15
jiujian1984
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【答案】應(yīng)助回帖
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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(shuō)錯(cuò)了，應(yīng)該是按照中文寫的英文，請(qǐng)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(shuō)錯(cuò)了，應(yīng)該是按照中文寫的英文，請(qǐng)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(duì)誤差小于1%，需要100個(gè)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(shí)，收斂速度變慢，其原因是眾所周知的界面Gibbs振動(dòng)，而同時(shí)需要的計(jì)算時(shí)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(jì)算過程（步驟）呈冪級(jí)數(shù)增長(zhǎng)。 |
3樓2012-05-29 17:41:11
yearover
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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(cuò)了，應(yīng)該是根據(jù)中文翻譯成英文，請(qǐng)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(gè)plane waves可以保證相對(duì)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
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