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Regularization of Fourier Series with Approximate Coefficients for the Problem of Phase Probability Density Function Estimation 相位概率密度函数估计问题的近似系数傅立叶级数的正则化
IF 0.3 Q4 MATHEMATICS, APPLIED
Numerical Analysis and Applications
Pub Date : 2022-06-01 DOI: 10.1134/S1995423922020057
M. L. Maslakov, V. V. Egorov
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引用次数: 0
Regularization of Fourier Series with Approximate Coefficients for the Problem of Phase Probability Density Function Estimation 相位概率密度函数估计问题的近似系数傅里叶级数正则化
IF 0.3 Q4 MATHEMATICS, APPLIED
Numerical Analysis and Applications
Pub Date : 2022-06-01 DOI: 10.15372/sjnm20220205
M. L. Maslakov, V. V. Egorov
Abstract This paper considers the problem of phase probability distribution function estimation for phase-shift-keying signals. The modulating sequence and, accordingly, the symbol phases, as well as statistical characteristics of this sequence, are unknown. The Fourier coefficients are calculated on a limited sample for estimating the phase probability distribution function. In this case, the thus obtained Fourier coefficients are regularized. A multiparameter regularization method for increasing the estimation accuracy is considered. Numerical simulation results are presented.
研究了相移键控信号的相位概率分布函数估计问题。调制序列和相应的符号相位以及该序列的统计特性是未知的。为了估计相位概率分布函数，在有限的样本上计算傅里叶系数。在这种情况下，由此得到的傅里叶系数是正则化的。考虑了一种提高估计精度的多参数正则化方法。给出了数值模拟结果。
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引用次数: 0
An Efficient Logarithmic Barrier Method without Line Search for Convex Quadratic Programming 凸二次规划的一种不需要直线搜索的对数屏障法
IF 0.3 Q4 MATHEMATICS, APPLIED
Numerical Analysis and Applications
Pub Date : 2022-06-01 DOI: 10.15372/sjnm20220207
S. Chaghoub, D. Benterki
Abstract In this work, we deal with a convex quadratic problem with inequality constraints. We use a logarithmic barrier method based on some new approximate functions. These functions have the advantage that they allow computing the displacement step easily and without consuming much time, contrarily to the line search method, which is time-consuming and expensive to identify the displacement step. We have developed an implementation with MATLAB and conducted numerical tests on some examples of considerable size. The obtained numerical results show the accuracy and efficiency of our approach.
摘要本文研究了一类具有不等式约束的凸二次型问题。我们使用了一种基于一些新的近似函数的对数屏障方法。这些函数的优点是可以很容易地计算位移步长，并且不需要花费太多的时间，而不是直线搜索方法，这是费时和昂贵的识别位移步长。我们用MATLAB开发了一个实现，并在一些相当大的例子上进行了数值测试。数值结果表明了该方法的准确性和有效性。
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引用次数: 0
A Numerical Algorithm for Solving the Prandtl Equations with Induced Pressure in the Periodic Case 周期情况下求解具有诱导压力的Prandtl方程的一种数值算法
IF 0.3 Q4 MATHEMATICS, APPLIED
Numerical Analysis and Applications
Pub Date : 2022-06-01 DOI: 10.1134/S199542392202001X
R. Gaydukov
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引用次数: 0
A Multiplicative Model for the Identification of Time Series Components 时间序列分量识别的乘法模型
IF 0.3 Q4 MATHEMATICS, APPLIED
Numerical Analysis and Applications
Pub Date : 2022-06-01 DOI: 10.1134/S1995423922020021
V. Zorkaltsev, M. Polkovskaya
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引用次数: 0
An Efficient Logarithmic Barrier Method without Line Search for Convex Quadratic Programming 凸二次规划的一种有效的无线搜索对数屏障方法
IF 0.3 Q4 MATHEMATICS, APPLIED
Numerical Analysis and Applications
Pub Date : 2022-06-01 DOI: 10.1134/S1995423922020070
S. Chaghoub, D. Benterki
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引用次数: 0
Mathematical Modeling and Computational Aspects of Multi-Criteria Optimization of the Conditions of a Laboratory Catalytic Reaction 实验室催化反应条件多准则优化的数学建模与计算方法
IF 0.3 Q4 MATHEMATICS, APPLIED
Numerical Analysis and Applications
Pub Date : 2022-06-01 DOI: 10.1134/S1995423922020033
K. Koledina, I. Gubaydullin, S. Koledin
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引用次数: 0
Behavior Change in a Virus-Resistance HIV-1 Mathematical Model 抗病毒HIV-1数学模型中的行为改变
IF 0.3 Q4 MATHEMATICS, APPLIED
Numerical Analysis and Applications
Pub Date : 2022-06-01 DOI: 10.1134/S1995423922020069
R. Musa, R. Willie, N. Parumasur
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引用次数: 2
A Method of Numerical Modelling of a Magnetotelluric Field in a Horizontally Homogeneous Medium: Difference Schemes and Convergence Estimates 水平均匀介质中大地磁场的数值模拟方法:差分格式和收敛估计
IF 0.3 Q4 MATHEMATICS, APPLIED
Numerical Analysis and Applications
Pub Date : 2022-03-04 DOI: 10.1134/s1995423922010037
O. V. Zabinyakova, S. N. Sklyar

Abstract

This paper proposes a method for numerically solving a direct one-dimensional problem of magnetotelluric sounding. Some difference schemes are constructed by a method of local integral equations. A natural variant of interpolation of an approximate solution is considered. An estimate of convergence of the approximate solution to the exact one and an estimate of the interpolation error are obtained.

摘要本文提出了一种直接求解大地电磁测深一维问题的数值方法。用局部积分方程的方法构造了一些差分格式。考虑了近似解的自然插值形式。得到了近似解对精确解的收敛性估计和插值误差估计。
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引用次数: 0
One Method for Simulating Inhomogeneous Poisson Point Process 非齐次泊松点过程的一种模拟方法
IF 0.3 Q4 MATHEMATICS, APPLIED
Numerical Analysis and Applications
Pub Date : 2022-03-04 DOI: 10.1134/s1995423922010013
T. A. Averina

Abstract

When problems of analysis, synthesis, and filtration for systems of the jump-diffusion type are solved statistically, it is necessary to simulate an inhomogeneous Poisson point process. To this end, sometimes the algorithm relying on the ordinariness of the process is used. In this paper, a modification of this algorithm, using a cost-effective method for simulating random variables, is constructed. The statistical adequacy of the method developed is checked on test problems.

摘要在统计上解决跳跃扩散型系统的分析、综合和过滤问题时，需要模拟非齐次泊松点过程。为此，有时会使用依赖于过程平常性的算法。本文对该算法进行了改进，构造了一种具有成本效益的模拟随机变量的方法。所开发的方法在统计上的充分性是通过测试问题来检验的。
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引用次数: 0
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