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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 |
至尊木蟲 (職業(yè)作家)
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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。 |
金蟲 (正式寫手)

鐵蟲 (初入文壇)
銀蟲 (正式寫手)
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我把意思表達錯了,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. |
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