《Journal of Computational Mathematics》

作品数：1621被引量：2622H指数：18
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《Journal of Computational Mathematics》
主办单位：中国科学院数学与系统科学研究院
最新期次：2025年1期更多>>
发文主题：CONVERGENCESOLVINGFINITE_ELEMENT_METHODFINITE_ELEMENTMETHOD更多>>
发文领域：理学自动化与计算机技术电子电信文化科学更多>>
发文基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>
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A STABILIZER FREE WEAK GALERKIN FINITE ELEMENT METHOD FOR BRINKMAN EQUATIONS
《Journal of Computational Mathematics》2025年第1期1-17,共17页Haoning Dang Qilong Zhai Ran Zhang Hui Peng 
supported by the National Natural Science Foundation of China(Grant Nos.1901015,12271208,11971198,91630201,11871245,11771179,11826101);by the Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education,Jilin University.
We develop a stabilizer free weak Galerkin (SFWG) finite element method for Brinkman equations. The main idea is to use high order polynomials to compute the discrete weak gradient and then the stabilizing term is rem...
关键词：Brinkman equations Weak Galerkin method Stabilizer free Discrete weak differential operators 
A CELL-CENTERED MULTIGRID SOLVER FOR THE FINITE VOLUME DISCRETIZATION OF ANISOTROPIC ELLIPTIC INTERFACE PROBLEMS ON IRREGULAR DOMAINS
《Journal of Computational Mathematics》2025年第1期18-42,共25页Kejia Pan Xiaoxin Wu Hongling Hu Zhilin Li 
supported by the National Natural Science Foundation of China(Grant No.42274101);X.X.Wu was supported by the Fundamental Research Funds for the Central Universities of Central South University(Grant No.2020zzts354);H.L.Hu was supported by the National Natural Science Foundation of China(Grant No.12071128);by the Natural Science Foundation of Hunan Province(Grant No.2021JJ30434);Z.L.Li was supported by a Simons Grant No.633724.
The aim of this paper is to develop a fast multigrid solver for interpolation-free finite volume (FV) discretization of anisotropic elliptic interface problems on general bounded domains that can be described as a uni...
关键词：Elliptic interface problem Discontinuous coefficients Anisotropic coefficients Cascadic multigrid method Richardson extrapolation 
STABLE RECOVERY OF SPARSE SIGNALS WITH NON-CONVEX WEIGHTED r-NORM MINUS 1-NORM
《Journal of Computational Mathematics》2025年第1期43-62,共20页Jianwen Huang Feng Zhang Xinling Liu Jianjun Wang Jinping Jia Runke Wang 
supported in part by the National Natural Science Foundation of China(Grant Nos.12101454,12101512,12071380,62063031);by the Chongqing Normal University Foundation Project(Grant No.23XLB013);by the Fuxi Scientific Research Innovation Team of Tianshui Normal University(Grant No.FXD2020-03);by the National Natural Science Foundation of China(Grant No.12301594);by the China Postdoctoral Science Foundation(Grant No.2021M692681);by the Natural Science Foundation of Chongqing,China(Grant No.cstc2021jcyj-bshX0155);by the Fundamental Research Funds for the Central Universities(Grant No.SWU120078);by the Natural Science Foundation of Gansu Province(Grant No.21JR1RE292);by the College Teachers Innovation Foundation of Gansu Province(Grant No.2023B-132);by the Joint Funds of the Natural Science Innovation-driven development of Chongqing(Grant No.2023NSCQ-LZX0218);by the Chongqing Talent Project(Grant No.cstc2021ycjh-bgzxm0015).
Given the measurement matrix A and the observation signal y,the central purpose of compressed sensing is to find the most sparse solution of the underdetermined linear system y=Ax+z,where x is the s-sparse signal to b...
关键词：Compressed sensing Sparse recovery Mutual coherence Sufficient condition 
OPTIMAL ERROR ESTIMATES OF THE LOCAL DISCONTINUOUS GALERKIN METHOD WITH GENERALIZED NUMERICAL FLUXES FOR ONE-DIMENSIONAL KDV TYPE EQUATIONS
《Journal of Computational Mathematics》2025年第1期63-88,共26页Hongjuan Zhang Xiong Meng Dazhi Zhang Boying Wu 
supported by the National Natural Science Foundation of China(Grant No.11971132);by the Natural Science Foundation of Heilongjiang Province(Grant No.YQ2021A002);by the Fundamental Research Funds for the Central Universities(Grant No.HIT.OCEF.2022031);The third author was supported by the Guangdong Basic and Applied Basic Research Foundation(Grant No.2020B1515310006);The fourth author was supported by the National Natural Science Foundation of China(Grant Nos.11971131,61873071).
In this paper, we investigate the local discontinuous Galerkin method with generalized numerical fluxes for one-dimensional nonlinear Korteweg-de Vries type equations. The numerical flux for the nonlinear convection t...
关键词：Korteweg-de Vries type equations Local discontinuous Galerkin method Generalized fluxes Error estimates 
SPACE-TIME CONTINUOUS AND TIME DISCONTINUOUS GALERKIN SCHEMES BASED ON ISOGEOMETRIC ANALYSIS FOR NONLINEAR TIME-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
《Journal of Computational Mathematics》2025年第1期89-120,共32页Ang Ge Jinye Shen Lijun Yi 
supported in part by the National Natural Science Foundation of China(Grant No.12101509);by the Undergraduate Research and Learning Program of Southwestern University of Finance and Economics;L.Yi was supported in part by the National Natural Science Foundation of China(Grant No.12171322);by the Natural Science Foundation of Shanghai(Grant No.21ZR1447200).
This paper presents space-time continuous and time discontinuous Galerkin schemes for solving nonlinear time-fractional partial differential equations based on B-splines in time and non-uniform rational B-splines (NUR...
关键词：SPACE-TIME Nonlinear time-fractional Sobolev-type equations Time-fractional Allen-Cahn equation Isogeometric analysis Error estimation 
TWO FAMILIES OF n-RECTANGLE NONCONFORMING FINITE ELEMENTS FOR SIXTH-ORDER ELLIPTIC EQUATIONS
《Journal of Computational Mathematics》2025年第1期121-142,共22页Xianlin Jin Shuonan Wu 
supported in part by the National Natural Science Foundation of China(Grant No.12222101).
In this paper, we propose two families of nonconforming finite elements on n-rectangle meshes of any dimension to solve the sixth-order elliptic equations. The unisolvent property and the approximation ability of the ...
关键词：Nonconforming finite element method n-Rectangle element Sixth-order elliptic equation Exchange of sub-rectangles 
A PERTURBED QUASI-NEWTON ALGORITHM FOR BOUND-CONSTRAINED GLOBAL OPTIMIZATION
《Journal of Computational Mathematics》2025年第1期143-173,共31页Raouf Ziadi Abdelatif Bencherif-Madani 
This paper presents a stochastic modification of a limited memory BFGS method to solve bound-constrained global minimization problems with a differentiable cost function with no further smoothness. The approach is a s...
关键词：Global optimization Limited memory BFGS method Stochastic perturbation Truncated multivariate double exponential distribution 
ADAPTIVE VIRTUAL ELEMENT METHOD FOR CONVECTION DOMINATED DIFFUSION EQUATIONS
《Journal of Computational Mathematics》2025年第1期174-202,共29页Qiming Wang Zhaojie Zhou 
supported by the National Natural Science Foundation of China(Grant Nos.11971276,11301311);by the Natural Science Foundation of Shandong Province(Grant No.ZR2016JL004).
In this paper,a robust residual-based a posteriori estimate is discussed for the Streamline Upwind/Petrov Galerkin(SUPG)virtual element method(VEM)discretization of convection dominated diffusion equation.A global upp...
关键词：A posteriori estimate SUPG virtual element method Convection dominated diffusion equation Adaptive VEM algorithm 
IMAGE SPACE BRANCH-REDUCTION-BOUND ALGORITHM FOR GLOBALLY SOLVING THE SUM OF AFFINE RATIOS PROBLEM
《Journal of Computational Mathematics》2025年第1期203-228,共26页Hongwei Jiao Youlin Shang 
supported by the National Natural Science Foundation of China(Grant Nos.11871196,12071133,12071112);by the Key Scientific and Technological Research Projects of Henan Province(Grant Nos.232102211085,202102210147);by the China Postdoctoral Science Foundation(Grant No.2017M622340);by the Science and Technology Climbing Program of Henan Institute of Science and Technology(Grant No.2018JY01).
This article presents an image space branch-reduction-bound algorithm for globally solving the sum of affine ratios problem. The algorithm works by solving its equivalent problem, and by using convex hull and concave ...
关键词：Sum of affine ratios Global optimization Affine relaxation problem Branchreduction-bound Computational complexity 
A NEW SECOND ORDER NUMERICAL SCHEME FOR SOLVING DECOUPLED MEAN-FIELD FBSDES WITH JUMPS
《Journal of Computational Mathematics》2025年第1期229-256,共28页Yabing Sun Weidong Zhao 
supported by the NSF of China(Grant Nos.12071261,12371398,12001539,11831010,11871068);by the China Postdoctoral Science Foundation(Grant No.2019TQ0073);by the Science Challenge Project(Grant No.TZ2018001)and by the National Key R&D Program of China(Grant No.2018YFA0703900).
In this paper, we consider the numerical solution of decoupled mean-field forward backward stochastic differential equations with jumps (MFBSDEJs). By using finite difference approximations and the Gaussian quadrature...
关键词：Mean-field forward backward stochastic differential equation with jumps Finite difference approximation Gaussian quadrature rule Second order 
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