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Lithuanian Mathematical Journal最新文献

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On ℤ-Dependency of Algebraic Integers Satisfying Cubic and Quartic Polynomials 关于满足三次多项式和四次多项式的代数整数的相依性
IF 0.4 4区 数学 Q3 MATHEMATICS
Lithuanian Mathematical Journal
Pub Date : 2022-07-01 DOI: 10.1007/s10986-022-09570-z
Mitashree Behera, P. Ray
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引用次数: 0
A k-Sample Test for Functional Data Based on Generalized Maximum Mean Discrepancy 基于广义最大均值差异的函数数据k-样本检验
IF 0.4 4区 数学 Q3 MATHEMATICS
Lithuanian Mathematical Journal
Pub Date : 2022-07-01 DOI: 10.1007/s10986-022-09572-x
A. S. K. Balogoun, G. Nkiet, C. Ogouyandjou
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引用次数: 1
Some Limit Theorems for the Cell Load in the Generalized Allocation Scheme 广义分配方案中小区负荷的几个极限定理
IF 0.4 4区 数学 Q3 MATHEMATICS
Lithuanian Mathematical Journal
Pub Date : 2022-07-01 DOI: 10.1007/s10986-022-09569-6
Yu Miao, Qian Du, Zhen Wang
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引用次数: 0
The local regularity conditions for the Navier–Stokes equations via one directional derivative of the velocity 通过速度的一个方向导数得到Navier-Stokes方程的局部正则性条件
IF 0.4 4区 数学 Q3 MATHEMATICS
Lithuanian Mathematical Journal
Pub Date : 2022-07-01 DOI: 10.1007/s10986-022-09573-w
Zhengguang Guo, P. Kučera, Zdenek Skalak
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引用次数: 0
The Estimation of Parameters for the Tapered Pareto Distribution from Incomplete Data 不完全数据下锥形Pareto分布的参数估计
IF 0.4 4区 数学 Q3 MATHEMATICS
Lithuanian Mathematical Journal
Pub Date : 2022-06-01 DOI: 10.1007/s10986-022-09567-8
I. Rodionov, M. Vaiciulis
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引用次数: 1
On the solvability of one boundary value problem for one class of higher-order semilinear hyperbolic systems 一类高阶双线性双曲型系统一边值问题的可解性
IF 0.4 4区 数学 Q3 MATHEMATICS
Lithuanian Mathematical Journal
Pub Date : 2022-05-06 DOI: 10.1007/s10986-022-09566-9
S. Kharibegashvili, B. Midodashvili
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引用次数: 0
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
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