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MONOTONICITY: 作品数：128被引量：124H指数：5; 导出分析报告; 相关领域：理学更多>>; 相关作者：庄瓦金苑敬周陈先华李正学陆利蓬更多>>; 相关机构：漳州师范学院华中科技大学福州大学东南大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金国家高技术研究发展计划更多>>

On the monotonicity of limit wave speed to a perturbed gKdV equation: 《Applied Mathematics(A Journal of Chinese Universities)》2025年第1期207-212,共6页WEN Zhen-shu SHI Tian-yu; Supported by the National Natural Science Foundation of China(12071162);the Natural Science Foundation of Fujian Province(2021J01302);the Fundamental Research Funds for the Central Universities(ZQN-802)。; This paper deals with the monotonicity of limit wave speed c0(h)to a perturbed g KdV equation.We show the decrease of c0(h)by combining the analytic method and the numerical technique.Our results solve a special case ...; 关键词：the perturbed gKdV equation with m=5 traveling waves limit wave speed MONOTONICITY

Stochastic interpretation for a single server retrial queue with Bernoulli feedback and negative customers: 《Applied Mathematics(A Journal of Chinese Universities)》2025年第1期1-19,共19页Mohamed Boualem Amina Angelika Bouchentouf Aicha Bareche Mouloud Cherfaoui; In this paper,we introduce a qualitative analysis in order to study the monotonicity and comparability properties of a single-server retrial queueing model with Bernoulli feedback and negative customers,relative to st...; 关键词：retrial queueing models negative arrivals stochastic orderings MONOTONICITY SIMULATION

Optimal control of a class of fully coupled forward-backward stochastic partial differential equations: 《Probability, Uncertainty and Quantitative Risk》2025年第1期67-102,共36页Suya Zhang Maozhong Xu Qingxin Meng; Qingxin Meng was supported by the Key Projects of Natural Science Foundation of Zhejiang Province(Grant No.LZ22A010005);the National Natural Science Foundation of China(Grant Nos.12271158 and 11871121).; This paper investigates the optimal control problem for a class of fully coupled forward-backward stochastic partial differential equations(FBSPDEs).Based on the existence of a unique solution to such equations,we for...; 关键词：Forward-backward stochastic partial differential equation Monotonicity condition Stochastic maximum principle Convex domain Linear quadratic problem

Monotonicity of the Heat Kernel on Graphs: 《数学进展》2024年第6期1227-1238,共12页LI Zhan; Supported by NSFC (Nos.10671182,12061020);NSF of Guizhou Province (Nos.QKH[2019]1123,QKHKY[2021]088,QKHKY[2022]301,QKH-ZK[2021]331);Ph.D. Project of Guizhou Education University (No.2021BS005)。; In this paper,we prove an explicit formula of the heat kernel on the circle.As a consequence,we establish the monotonicity of the heat kernel.It is well known that the heat kernel can be viewed as the transition proba...; 关键词：heat kernel discrete Laplace equation transition probability simple lazy random walk

Monotonicity Properties of N_(2)(m,n) and M_(2)(m, n): 《数学进展》2024年第5期983-992,共10页QU Shuailong CUI Suping; Supported by NSFC(No.12001309);Natural Science Foundation Youth Fund of Qinghai Province(No.2022-ZJ-972Q)。; Let N_(2)(m,n)denote the number of partitions of n without repeated odd parts whose M_(2)-rank is m and M_(2)(m,n)denote the number of partitions π of n with distinct odd parts and such that the partition has crank m...; 关键词：PARTITION CRANK RANK

MONOTONICITY CORRECTIONS FOR NINE-POINT SCHEME OF DIFFUSION EQUATIONS: 《Journal of Computational Mathematics》2024年第5期1305-1327,共23页Wang Kong Zhenying Hong Guangwei Yuan Zhiqiang Sheng; supported by the National Natural Science Foundation of China(Grant Nos.12071045,12201299);the Natural Science Foundation of Jiangsu Province(Grant No.BK20220870);the Youth Foundation of Laboratory of Computational Physics(Grant No.HX02021-37).; In this paper,we present a nonlinear correction technique to modify the nine-point scheme proposed in[SIAM J.Sci.Comput.,30:3(2008),1341-1361]such that the resulted scheme preserves the positivity.We first express the...; 关键词：Monotonicity corrections Diffusion equation Improved MPFA Distorted meshes

On the Use of Monotonicity-Preserving Interpolatory Techniques in Multilevel Schemes for Balance Laws: 《Communications on Applied Mathematics and Computation》2024年第2期1319-1341,共23页Antonio Baeza Rosa Donat Anna Martinez-Gavara; supported by Grant PID2020-117211GB-I00;funded by MCIN/AEI/10.13039/501100011033;by Grant CIAICO/2021/227;funded by the Generalitat Valenciana;supported by the Ministerio de Ciencia e Innovacion of Spain(Grant Ref.PID2021-125709OB-C21);funded by MCIN/AEI/10.13039/501100011033/FEDER,UE;by the Generalitat Valenciana(CIAICO/2021/224).; Cost-effective multilevel techniques for homogeneous hyperbolic conservation laws are very successful in reducing the computational cost associated to high resolution shock capturing numerical schemes.Because they do ...; 关键词：Hyperbolic balance laws Well-balanced schemes Multilevel schemes Harten's multiresolution

On the Monotonicity of Q^(3) Spectral Element Method for Laplacian: 《Annals of Applied Mathematics》2024年第2期161-190,共30页Logan J.Cross Xiangxiong Zhang; supported by National Science Foundation DMS-1913120.; The monotonicity of discrete Laplacian, i.e., inverse positivity of stiffness matrix, implies discrete maximum principle, which is in general not true for high order accurate schemes on unstructured meshes. On the oth...; 关键词：Inverse positivity discrete maximum principle high order accuracy MONOTONICITY discrete Laplacian spectral element method

A High Order Accurate Bound-Preserving Compact Finite Difference Scheme for Two-Dimensional Incompressible Flow: 《Communications on Applied Mathematics and Computation》2024年第1期113-141,共29页Hao Li Xiangxiong Zhang; supported by NSF DMS-1913120.; For solving two-dimensional incompressible flow in the vorticity form by the fourth-order compact finite difference scheme and explicit strong stability preserving temporal discretizations,we show that the simple boun...; 关键词：Finite difference MONOTONICITY Bound-preserving Discrete maximum principle Passive convection Incompressible flow Total variation bounded limiter

Weak Harnack Inequalities for Eigenvalues and the Monotonicity of Hessian’s Rank: 《Analysis in Theory and Applications》2023年第2期147-162,共16页Lu Xu Bianlian Yan; Both authors are supported by NSFC No.12171143.; We study microscopic convexity properties of convex solutions of fully nonlinear parabolic equations under a structural condition introduced by Bian-Guan.We prove weak Harnack inequalities for the eigenvalues of the s...; 关键词：Harnack inequalities parabolic equations microscopic convexity

MONOTONICITY