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Lithuanian Mathematical Journal最新文献

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The law of large numbers for weakly correlated random elements in the spaces lp, 1 ⩽ p < ∞ 空间lp，1⩽p<∞中弱相关随机元的大数定律
IF 0.4 4区 数学 Q3 Mathematics
Lithuanian Mathematical Journal
Pub Date : 2022-05-05 DOI: 10.1007/s10986-022-09564-x
Valeri Berikashvili, G. Giorgobiani, V. Kvaratskhelia
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引用次数: 0
Sums of Fourier coefficients associated with Hecke cusp forms 与赫克尖峰形式相关的傅立叶系数和
IF 0.4 4区 数学 Q3 Mathematics
Lithuanian Mathematical Journal
Pub Date : 2022-04-12 DOI: 10.1007/s10986-022-09563-y
Guodong Hua
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引用次数: 0
On some sums involving the counting function of nonisomorphic Abelian groups* 关于涉及非同构阿贝尔群计数函数的若干和*
IF 0.4 4区 数学 Q3 Mathematics
Lithuanian Mathematical Journal
Pub Date : 2022-04-06 DOI: 10.1007/s10986-023-09596-x
Haihong Fan, W. Zhai
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引用次数: 0
Finite volume ADI scheme for hybrid dimension heat conduction problems set in a cross-shaped domain 交叉区域混合尺寸热传导问题的有限体积ADI格式
IF 0.4 4区 数学 Q3 Mathematics
Lithuanian Mathematical Journal
Pub Date : 2022-03-31 DOI: 10.1007/s10986-022-09561-0
Vytenis Šumskas, Raimondas Čiegis

In this paper, we construct an alternating direction implicit (ADI) type finite volume numerical scheme to solve a nonclassical nonstationary heat conduction problem set in a 2D cross-shaped domain. We reduce the original model to a hybrid dimension model in a large part of the domain. We define special conjugation conditions between 2D and 1D parts. We apply the finite volume method to approximate spatial differential operators and use ADI splitting for time integration. The ADI scheme is unconditionally stable, and under a mix of Dirichlet and Neumann boundary conditions, the approximation error is of second order in space and time. The results of computational experiments confirm the theoretical error analysis. We compare visual representations and computational times for various sizes of reduced dimension zones.

本文构造了一个交替方向隐式(ADI)型有限体积数值格式来求解二维交叉区域上的非经典非平稳热传导问题集。在很大程度上，我们将原始模型简化为混合维度模型。我们定义了二维和一维零件之间的特殊共轭条件。我们用有限体积法逼近空间微分算子，用ADI分裂法进行时间积分。ADI格式是无条件稳定的，在Dirichlet和Neumann混合边界条件下，其近似误差在空间和时间上都是二阶的。计算实验结果证实了理论误差分析。我们比较了不同尺寸的降维区域的视觉表示和计算时间。
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引用次数: 2
On the closure under infinitely divisible distribution roots 关于无穷可分分布根下的闭包
IF 0.4 4区 数学 Q3 Mathematics
Lithuanian Mathematical Journal
Pub Date : 2022-03-01 DOI: 10.1007/s10986-022-09558-9
Hui Xu, Yuebao Wang, Dongya Cheng, Changjun Yu
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引用次数: 4
How to compare power towers? 如何比较电力塔？
IF 0.4 4区 数学 Q3 Mathematics
Lithuanian Mathematical Journal
Pub Date : 2022-03-01 DOI: 10.1007/s10986-022-09562-z
K. Gryszka
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引用次数: 0
On Some Approximations for Sums of Independent Random Variables 关于独立随机变量和的一些近似
IF 0.4 4区 数学 Q3 Mathematics
Lithuanian Mathematical Journal
Pub Date : 2022-03-01 DOI: 10.1007/s10986-022-09560-1
Jonas Kazys Sunklodas
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引用次数: 0
On Some Approximations for Sums of Independent Random Variables 关于独立随机变量和的一些逼近
IF 0.4 4区 数学 Q3 Mathematics
Lithuanian Mathematical Journal
Pub Date : 2022-03-01 DOI: 10.1007/s10986-023-09599-8
J. Sunklodas
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引用次数: 1
Hankel determinants of order four for a set of functions with bounded turning of order α 具有α阶有界转动的一组函数的四阶汉克尔行列式
IF 0.4 4区 数学 Q3 Mathematics
Lithuanian Mathematical Journal
Pub Date : 2022-03-01 DOI: 10.1007/s10986-022-09559-8
Muhammad Arif, Mohsan Raza, Inayat Ullah, P. Zaprawa
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引用次数: 4
Stable fluctuations of iterated perturbed random walks in intermediate generations of a general branching process tree* 一般分支过程树中间代中迭代扰动随机游动的稳定涨落*
IF 0.4 4区 数学 Q3 Mathematics
Lithuanian Mathematical Journal
Pub Date : 2022-02-16 DOI: 10.1007/s10986-022-09574-9
A. Iksanov, A. Marynych, B. Rashytov
{"title":"Stable fluctuations of iterated perturbed random walks in intermediate generations of a general branching process tree*","authors":"A. Iksanov, A. Marynych, B. Rashytov","doi":"10.1007/s10986-022-09574-9","DOIUrl":"https://doi.org/10.1007/s10986-022-09574-9","url":null,"abstract":"","PeriodicalId":51108,"journal":{"name":"Lithuanian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48047000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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