Note on the midpoint upwind scheme of the Bakhvalov-Shishkin mesh(中点迎风差分格式在Bakhvalov-Shishkin网格上的注记)
研究具有单一边界层的奇异摄动两点边界值问题,在Bakhvalov-Shishkin网格上构造了中点迎风差分格式,并且证明了该差分格式具有O(N-1)关于摄动参数ε一致的收敛阶,其中N为网格结点数.
LIANGKe-wei(梁克维) +2 more
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A finite difference scheme uniform in ε for singularly perturbed problems(关于ε一致的奇异摄动问题的差分格式及其收敛速度)
本文对奇异摄动两点边界值问题,在特殊的加密网格上构造了差分格式,使其收敛阶从Shishkin网格的O(N-2ln2N)提高到O(N-2),其中N为网格节点数.
LIANGKe-wei(梁克维) +2 more
doaj +2 more sources
Booster method for singularly perturbed two-point boundary value problems(解一类奇异摄动两点边界值问题的Booster方法)
研究一类奇异摄动两点边界值问题,用Booster方法进行求解,使其收敛阶提高了O(εn+1),尤其在特殊加密网格上,使其收敛阶从O(N-2)提高到O(εn+1N-2).其中ε为摄动小参数,n为渐近展开的阶数.最后给出了数值例子.
JINZhong-qiu(金中秋“) +2 more
doaj +1 more source
研究具有两个边界层的奇异摄动两点边界值问题,为了提高其数值解的精度,构造了修正的Bakhvalov-Shishkin网格及相应的离散差分格式,并且利用Green函数证明了该差分格式具有O(N-2),一致于摄动参数ε的收敛阶,从而本质上改进了在Shishkin网格上得到的结果,即相应的差分格式具有关于ε一致的收敛阶O(N-2ln2N),其中N为网格结点数.最后用数值例子说明该方法的可行性.
JINZhong-qiu(金中秋) +2 more
doaj +1 more source
[Detection and analysis of moving reaction boundary-based electrophoresis distance using smartphone images]. [PDF]
Song XQ +6 more
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[Study on the accuracy of automatic segmentation of knee CT images based on deep learning]. [PDF]
Song P +8 more
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[Preparation of doxorubicin-loaded metallic organic nanoparticles and their effect for enhancing efficacy of high-intensity focused ultrasound therapy in tumor-bearing mice]. [PDF]
Ye H +5 more
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[Comparison of effectiveness of Vesselplasty and percutaneous kyphoplasty for Kümmell disease]. [PDF]
Sun Y +8 more
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[Clinical application of autologous costal cartilage transplantation in repair of upper lip depression in secondary repair of cleft lip]. [PDF]
Zhang X +7 more
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Wu J +7 more
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