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The Perturbed Compound Poisson Risk Model with Proportional Investment 带投资比例的扰动复合泊松风险模型
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-01-03 DOI: 10.1007/s10255-024-1102-y
Nai-dan Deng, Chun-wei Wang, Jia-en Xu
{"title":"The Perturbed Compound Poisson Risk Model with Proportional Investment","authors":"Nai-dan Deng,&nbsp;Chun-wei Wang,&nbsp;Jia-en Xu","doi":"10.1007/s10255-024-1102-y","DOIUrl":"10.1007/s10255-024-1102-y","url":null,"abstract":"<div><p>In this paper, the insurance company considers venture capital and risk-free investment in a constant proportion. The surplus process is perturbed by diffusion. At first, the integro-differential equations satisfied by the expected discounted dividend payments and the Gerber-Shiu function are derived. Then, the approximate solutions of the integro-differential equations are obtained through the sinc method. Finally, the numerical examples are given when the claim sizes follow different distributions. Furthermore, the errors between the explicit solution and the numerical solution are discussed in a special case.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 1","pages":"109 - 128"},"PeriodicalIF":0.9,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139092403","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: 0
On the Difference Between the Skew-rank of an Oriented Graph and the Rank of Its Underlying Graph 论定向图的倾斜秩与其底层图的秩之间的差异
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-01-03 DOI: 10.1007/s10255-024-1103-x
Jia-min Zhu, Bo-jun Yuan, Yi Wang
{"title":"On the Difference Between the Skew-rank of an Oriented Graph and the Rank of Its Underlying Graph","authors":"Jia-min Zhu,&nbsp;Bo-jun Yuan,&nbsp;Yi Wang","doi":"10.1007/s10255-024-1103-x","DOIUrl":"10.1007/s10255-024-1103-x","url":null,"abstract":"<div><p>Let <i>G</i> be a simple graph and <i>G</i><sup><i>σ</i></sup> be the oriented graph with <i>G</i> as its underlying graph and orientation <i>σ</i>. The rank of the adjacency matrix of <i>G</i> is called the rank of <i>G</i> and is denoted by <i>r</i>(<i>G</i>). The rank of the skew-adjacency matrix of <i>G</i><sup><i>σ</i></sup> is called the skew-rank of <i>G</i><sup><i>σ</i></sup> and is denoted by <i>sr</i>(<i>G</i><sup><i>σ</i></sup>). Let <i>V</i>(<i>G</i>) be the vertex set and <i>E</i>(<i>G</i>) be the edge set of <i>G</i>. The cyclomatic number of <i>G</i>, denoted by <i>c</i>(<i>G</i>), is equal to ∣<i>E</i>(<i>G</i>)∣ − ∣<i>V</i>(<i>G</i>)∣+ <i>ω</i>(<i>G</i>), where <i>ω</i>(<i>G</i>) is the number of the components of <i>G</i>. It is proved for any oriented graph <i>G</i><sup><i>σ</i></sup> that −2<i>c</i>(<i>G</i>) ⩽ sr(<i>G</i><sup><i>σ</i></sup>) − <i>r</i>(<i>G</i>) ⩽ 2<i>c</i>(<i>G</i>). In this paper, we prove that there is no oriented graph <i>G</i><sup><i>σ</i></sup> with <i>sr</i>(<i>G</i><sup><i>σ</i></sup>) − <i>r</i>(<i>G</i>) = 2<i>c</i>(<i>G</i>)−1, and in addition, there are in nitely many oriented graphs <i>G</i><sup><i>σ</i></sup> with connected underlying graphs such that <i>c</i>(<i>G</i>) = <i>k</i> and <i>sr</i>(<i>G</i><sup><i>σ</i></sup>)−<i>r</i>(<i>G</i>) = 2<i>c</i>(<i>G</i>)−ℓ for every integers <i>k</i>, ℓ satisfying 0 ⩽ ℓ ⩽ 4<i>k</i> and ℓ≠ 1.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 1","pages":"129 - 136"},"PeriodicalIF":0.9,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139092094","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: 0
Pseudomonotonicity of Nonlinear Transformations on Euclidean Jordan Algebras 欧几里得约旦代数上非线性变换的假单调性
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-01-03 DOI: 10.1007/s10255-024-1108-5
Yuan-Min Li
{"title":"Pseudomonotonicity of Nonlinear Transformations on Euclidean Jordan Algebras","authors":"Yuan-Min Li","doi":"10.1007/s10255-024-1108-5","DOIUrl":"10.1007/s10255-024-1108-5","url":null,"abstract":"<div><p>In this paper, we have introduced the concepts of pseudomonotonicity properties for nonlinear transformations defined on Euclidean Jordan algebras. The implications between this property and other P-properties have been studied. More importantly, we have solved the solvability problem of the nonlinear pseudomonotone complementarity problems over symmetric cones.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 1","pages":"192 - 204"},"PeriodicalIF":0.9,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139092399","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: 0
Global Zero-relaxation Limit Problem of the Electro-diffusion Model Arising in Electro-Hydrodynamics 电流体力学中出现的电扩散模型的全局零松弛极限问题
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2024-01-03 DOI: 10.1007/s10255-024-1119-2
Ming-hua Yang, Si-ming Huang, Jin-yi Sun
{"title":"Global Zero-relaxation Limit Problem of the Electro-diffusion Model Arising in Electro-Hydrodynamics","authors":"Ming-hua Yang,&nbsp;Si-ming Huang,&nbsp;Jin-yi Sun","doi":"10.1007/s10255-024-1119-2","DOIUrl":"10.1007/s10255-024-1119-2","url":null,"abstract":"<div><p>In this paper, we study a global zero-relaxation limit problem of the electro-diffusion model arising in electro-hydrodynamics which is the coupled Planck-Nernst-Poisson and Navier-Stokes equations. That is, the paper deals with a singular limit problem of </p><div><div><span>$$left{ begin{gathered}\u0000begin{array}{*{20}{c}}\u0000{u_t^varepsilon+ {u^varepsilon } cdot nabla {u^varepsilon } - Delta {u^varepsilon } + nabla {P^varepsilon } = Delta {phi ^varepsilon }nabla {phi ^varepsilon },}&amp;{in{text{ }}{mathbb{R}^3} times (0,infty )} \u0000{nablacdot {u^varepsilon } = 0,}&amp;{in{text{ }}{mathbb{R}^3} times (0,infty )} \u0000end{array} hfill begin{array}{*{20}{c}}\u0000{n_t^varepsilon+ {u^varepsilon } cdot nabla {n^varepsilon } - Delta {n^varepsilon } =- nablacdot ({n^varepsilon }nabla {phi ^varepsilon }),}&amp;{in{text{ }}{mathbb{R}^3} times (0,infty )} \u0000{c_t^varepsilon+ {u^varepsilon } cdot nabla {c^varepsilon } - Delta {c^varepsilon } = nablacdot ({c^varepsilon }nabla {phi ^varepsilon }),}&amp;{in{text{ }}{mathbb{R}^3} times (0,infty )} \u0000end{array} hfill begin{array}{*{20}{c}}\u0000{{varepsilon ^{ - 1}}phi _t^varepsilon= Delta {phi ^varepsilon } - {n^varepsilon } + {c^varepsilon },}&amp;{in{text{ }}{mathbb{R}^3} times (0,infty )} \u0000{({u^varepsilon },{n^varepsilon },{c^varepsilon },{phi ^varepsilon })left| {_{t = 0 = ({u_0},{n_0},{c_0},{phi _0})},} right.}&amp;{in{text{ }}{mathbb{R}^3}} \u0000end{array} hfill \u0000end{gathered}right.$$</span></div></div><p> involving with a positive, large parameter <i>ϵ</i>. The present work show a case that (<i>u</i><sup><i>ϵ</i></sup>, <i>n</i><sup><i>ϵ</i></sup>, <i>c</i><sup><i>ϵ</i></sup>) stabilizes to (<i>u</i><sup>∞</sup>, <i>n</i><sup>∞</sup>, <i>c</i><sup>∞</sup>):= (<i>u, n, c</i>) uniformly with respect to the time variable as <i>ϵ</i> → + ∞ with respect to the strong topology in a certain Fourier-Herz space.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 1","pages":"241 - 268"},"PeriodicalIF":0.9,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139092412","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: 0
Ramsey Numbers of Trees Versus Multiple Copies of Books 拉姆齐树的数量与多本图书的数量
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2023-12-29 DOI: 10.1007/s10255-024-1117-4
Xiao-bing Guo, Si-nan Hu, Yue-jian Peng
{"title":"Ramsey Numbers of Trees Versus Multiple Copies of Books","authors":"Xiao-bing Guo,&nbsp;Si-nan Hu,&nbsp;Yue-jian Peng","doi":"10.1007/s10255-024-1117-4","DOIUrl":"10.1007/s10255-024-1117-4","url":null,"abstract":"<div><p>Given two graphs <i>G</i> and <i>H</i>, the Ramsey number <i>R</i>(<i>G,H</i>) is the minimum integer <i>N</i> such that any two-coloring of the edges of <i>K</i><sub><i>N</i></sub> in red or blue yields a red <i>G</i> or a blue <i>H</i>. Let <i>v</i>(<i>G</i>) be the number of vertices of <i>G</i> and <i>χ</i>(<i>G</i>) be the chromatic number of <i>G</i>. Let <i>s</i>(<i>G</i>) denote the chromatic surplus of <i>G</i>, the number of vertices in a minimum color class among all proper <i>χ</i>(<i>G</i>)-colorings of <i>G</i>. Burr showed that <span>(R(G,H) ge (v(G) - 1)(chi (H) - 1) + s(H))</span> if <i>G</i> is connected and <span>(v(G) ge s(H))</span>. A connected graph <i>G</i> is <i>H</i>-good if <span>(R(G,H) = (v(G) - 1)(chi (H) - 1) + s(H))</span>. Let <i>tH</i> denote the disjoint union of <i>t</i> copies of graph <i>H</i>, and let <span>(G vee H)</span> denote the join of <i>G</i> and <i>H</i>. Denote a complete graph on <i>n</i> vertices by <i>K</i><sub><i>n</i></sub>, and a tree on <i>n</i> vertices by <i>T</i><sub><i>n</i></sub>. Denote a book with <i>n</i> pages by <i>B</i><sub><i>n</i></sub>, i.e., the join <span>({K_2} vee overline {{K_n}} )</span>. Erdős, Faudree, Rousseau and Schelp proved that <i>T</i><sub><i>n</i></sub> is <i>B</i><sub><i>m</i></sub>-good if <span>(n ge 3m - 3)</span>. In this paper, we obtain the exact Ramsey number of <i>T</i><sub><i>n</i></sub> versus 2<i>B</i><sub>2</sub>- Our result implies that <i>T</i><sub><i>n</i></sub> is 2<i>B</i><sub>2</sub>-good if <i>n</i> ≥ 5.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 3","pages":"600 - 612"},"PeriodicalIF":0.9,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139062851","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: 0
A Minimum Residual Based Gradient Iterative Method for a Class of Matrix Equations 一类矩阵方程的最小残差梯度迭代法
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2023-11-30 DOI: 10.1007/s10255-024-1100-0
Qing-qing Zheng
{"title":"A Minimum Residual Based Gradient Iterative Method for a Class of Matrix Equations","authors":"Qing-qing Zheng","doi":"10.1007/s10255-024-1100-0","DOIUrl":"10.1007/s10255-024-1100-0","url":null,"abstract":"<div><p>In this paper, we present a minimum residual based gradient iterative method for solving a class of matrix equations including Sylvester matrix equations and general coupled matrix equations. The iterative method uses a negative gradient as steepest direction and seeks for an optimal step size to minimize the residual norm of next iterate. It is shown that the iterative sequence converges unconditionally to the exact solution for any initial guess and that the norm of the residual matrix and error matrix decrease monotonically. Numerical tests are presented to show the efficiency of the proposed method and confirm the theoretical results.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"40 1","pages":"17 - 34"},"PeriodicalIF":0.9,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138496160","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: 0
Global Strong Solutions and Large-time Behavior of 2D Tropical Climate Model 二维热带气候模式的全球强解和大时间行为
IF 0.8 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2023-11-08 DOI: 10.1007/s10255-023-1090-3
Dong-juan Niu, Ying Wang
{"title":"Global Strong Solutions and Large-time Behavior of 2D Tropical Climate Model","authors":"Dong-juan Niu,&nbsp;Ying Wang","doi":"10.1007/s10255-023-1090-3","DOIUrl":"10.1007/s10255-023-1090-3","url":null,"abstract":"<div><p>In this paper we mainly deal with the global well-posedness and large-time behavior of the 2D tropical climate model with small initial data. We first establish the global well-posedness of solution in the Besov space, then we obtain the optimal decay rates of solutions by virtue of the frequency decomposition method. Specifically, for the low frequency part, we use the Fourier splitting method of Schonbek and the spectrum analysis method, and for the high frequency part, we use the global energy estimate and the behavior of exponentially decay operator.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"39 4","pages":"886 - 925"},"PeriodicalIF":0.8,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909301","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: 0
Bayesian Estimation and Model Selection for the Spatiotemporal Autoregressive Model with Autoregressive Conditional Heteroscedasticity Errors 具有自回归条件异方差误差的时空自回归模型的Bayes估计与模型选择
IF 0.8 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2023-11-08 DOI: 10.1007/s10255-023-1096-x
Bing Su, Fu-kang Zhu, Ju Huang
{"title":"Bayesian Estimation and Model Selection for the Spatiotemporal Autoregressive Model with Autoregressive Conditional Heteroscedasticity Errors","authors":"Bing Su,&nbsp;Fu-kang Zhu,&nbsp;Ju Huang","doi":"10.1007/s10255-023-1096-x","DOIUrl":"10.1007/s10255-023-1096-x","url":null,"abstract":"<div><p>The spatial and spatiotemporal autoregressive conditional heteroscedasticity (STARCH) models receive increasing attention. In this paper, we introduce a spatiotemporal autoregressive (STAR) model with STARCH errors, which can capture the spatiotemporal dependence in mean and variance simultaneously. The Bayesian estimation and model selection are considered for our model. By Monte Carlo simulations, it is shown that the Bayesian estimator performs better than the corresponding maximum-likelihood estimator, and the Bayesian model selection can select out the true model in most times. Finally, two empirical examples are given to illustrate the superiority of our models in fitting those data.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"39 4","pages":"972 - 989"},"PeriodicalIF":0.8,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909303","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: 0
Injective Δ+2 Coloring of Planar Graph Without Short Cycles 无短环平面图的Δ+2染色
IF 0.8 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2023-11-08 DOI: 10.1007/s10255-023-1098-8
Ying Chen, Lan Tao, Li Zhang
{"title":"Injective Δ+2 Coloring of Planar Graph Without Short Cycles","authors":"Ying Chen,&nbsp;Lan Tao,&nbsp;Li Zhang","doi":"10.1007/s10255-023-1098-8","DOIUrl":"10.1007/s10255-023-1098-8","url":null,"abstract":"<div><p>A coloring of graph <i>G</i> is an <i>injective coloring</i> if its restriction to the neighborhood of any vertex is injective, which means that any two vertices get different colors if they have a common neighbor. The <i>injective chromatic number</i> χ<sub><i>i</i></sub>(<i>G</i>) of <i>G</i> is the least integer <i>k</i> such that <i>G</i> has an injective <i>k</i>-coloring. In this paper, we prove that (1) if <i>G</i> is a planar graph with girth <i>g</i> ≥ 6 and maximum degree Δ ≥ 7, then <i>χ</i><sub><i>i</i></sub>(<i>G</i>) ≤ Δ + 2; (2) if <i>G</i> is a planar graph with Δ ≥ 24 and without 3,4,7-cycles, then <i>χ</i><sub><i>i</i></sub>(<i>G</i>) ≤ Δ + 2.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"39 4","pages":"1009 - 1031"},"PeriodicalIF":0.8,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909305","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: 0
An Upwind Mixed Finite Volume Element-fractional Step Method and Convergence Analysis for Three-dimensional Compressible Contamination Treatment from Nuclear Waste 核废料三维可压缩污染处理的迎风混合有限体积元-分步法及收敛分析
IF 0.8 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2023-11-08 DOI: 10.1007/s10255-023-1099-7
Chang-feng Li, Yi-rang Yuan, Huai-ling Song
{"title":"An Upwind Mixed Finite Volume Element-fractional Step Method and Convergence Analysis for Three-dimensional Compressible Contamination Treatment from Nuclear Waste","authors":"Chang-feng Li,&nbsp;Yi-rang Yuan,&nbsp;Huai-ling Song","doi":"10.1007/s10255-023-1099-7","DOIUrl":"10.1007/s10255-023-1099-7","url":null,"abstract":"<div><p>In this paper the authors discuss a numerical simulation problem of three-dimensional compressible contamination treatment from nuclear waste. The mathematical model, a nonlinear convection-diffusion system of four PDEs, determines four major physical unknowns: the pressure, the concentrations of brine and radionuclide, and the temperature. The pressure is solved by a conservative mixed finite volume element method, and the computational accuracy is improved for Darcy velocity. Other unknowns are computed by a composite scheme of upwind approximation and mixed finite volume element. Numerical dispersion and nonphysical oscillation are eliminated, and the convection-dominated diffusion problems are solved well with high order computational accuracy. The mixed finite volume element is conservative locally, and get the objective functions and their adjoint vector functions simultaneously. The conservation nature is an important character in numerical simulation of underground fluid. Fractional step difference is introduced to solve the concentrations of radionuclide factors, and the computational work is shortened significantly by decomposing a three-dimensional problem into three successive one-dimensional problems. By the theory and technique of a priori estimates of differential equations, we derive an optimal order estimates in <i>L</i><sup>2</sup> norm. Finally, numerical examples show the effectiveness and practicability for some actual problems.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"39 4","pages":"808 - 829"},"PeriodicalIF":0.8,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71909213","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: 0
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