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相关机构：东南大学哈尔滨工业大学北京应用物理与计算数学研究所上海交通大学更多>>
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Quantization of Fractional Singular Lagrangian Systems with Second-Order Derivatives Using Path Integral Method
《Journal of Applied Mathematics and Physics》2025年第2期567-574,共8页Eyad Hasan Hasan Osama Abdalla Abu-Haija 
We examined the fractional second-order singular Lagrangian systems. We wrote the action principal function and equations of motion as fractional total differential equations. Also, we constructed the set of Hamilton-...
关键词：Fractional Path Integral Fractional Singular Lagrangians Fractional Calculus 
ERROR ANALYSIS OF THE SECOND-ORDER SERENDIPITY VIRTUAL ELEMENT METHOD FOR SEMILINEAR PSEUDO-PARABOLIC EQUATIONS ON CURVED DOMAINS
《Journal of Computational Mathematics》2024年第6期1743-1776,共34页Yang Xu Zhenguo Zhou Jingjun Zhao 
supported by the National Natural Science Foundation of China(Grant No.12071100);by the Fundamental Research Funds for the Central Universities(Grant No.2022FRFK060019).
The second-order serendipity virtual element method is studied for the semilinear pseudo-parabolic equations on curved domains in this paper.Nonhomogeneous Dirichlet boundary conditions are taken into account,the exis...
关键词：Semilinear pseudo-parabolic equation Serendipity virtual element method Projection method Curved domain 
Eigenvalues of Second-Order Left-Definite Linear Difference Operator with Spectral Parameters in Boundary Conditions
《Chinese Annals of Mathematics,Series B》2024年第6期905-926,共22页Chenghua GAO Jingjing WANG Xiaobin YAO Xueqin CAO 
supported by the National Natural Science Foundation of China(Nos.12461039,12161071);the Doctoral Research Fund Project of Lanzhou City University(No.LZCU-BS2023-24);the Youth Fund Project of Lanzhou City University(No.LZCU-QN2023-09);Gansu Youth Science and Technology Fund Project(No.24JRRA536);the Discipline Construction Project of Lanzhou City University.
In this paper,the authors consider the spectra of second-order left-definite d-ifference operator with linear spectral parameters in two boundary conditions.First,they obtain the exact number of this kind of eigenvalu...
关键词：Left-definite difference operator Boundary conditions with spectral pa-rameters Interlacing properties Oscillation properties 
Fully-Decoupled and Second-Order Time-Accurate Scheme for the Cahn–Hilliard Ohta–Kawaski Phase-Field Model of Diblock Copolymer Melt Confined in Hele–Shaw Cell
《Communications in Mathematics and Statistics》2024年第3期479-504,共26页Junying Cao Jun Zhang Xiaofeng Yang 
supported by National Natural Science Foundation of China(Grant Nos.11901135,11961009);Foundation of Guizhou Science and Technology Department,China(Grant No.[2020]1Y015);supported by the National Natural Science Foundation of China(Nos.11901132 and 62062018);Science and Technology Program of Guizhou Province(Nos.ZK[2022]006 and ZK[2022]031);Natural Science Research Projects of Education Department of Guizhou Province(No.KY[2021]015);Guizhou Key Laboratory of Big Data Statistics Analysis(No.BDSA20200102);supported by USA National Science Foundation with Grant Number DMS-2012490.
In this work,we consider numerical approximations of the phase-field model of diblock copolymer melt confined in Hele–Shaw cell,which is a very complicated coupled nonlinear system consisting of the Darcy equations a...
关键词：PHASE-FIELD Explicit-IEQ DARCY Decoupled Energy Stability Diblock copolymer melt 
Second-order error analysis of the averaged L1 scheme L1 for time-fractional initial-value and subdiffusion problems
《Science China Mathematics》2024年第7期1641-1664,共24页Jinye Shen Fanhai Zeng Martin Stynes 
supported by National Natural Science Foundation of China (Grant Nos. 12101509, 12171283, 12171025 and NSAF-U1930402);the Science Foundation Program for Distinguished Young Scholars of Shandong (Overseas) (Grant No. 2022HWYQ-045)。
Fractional initial-value problems(IVPs) and time-fractional initial-boundary value problems(IBVPs), each with a Caputo temporal derivative of order α ∈(0, 1), are considered. An averaged variant of the well-known L1...
关键词：time-fractional SUBDIFFUSION averaged L1 scheme 
The Rate of Convergence of Augmented Lagrangian Method for Minimax Optimization Problems with Equality Constraints
《Journal of the Operations Research Society of China》2024年第2期265-297,共33页Yu-Hong Dai Li-Wei Zhang 
the National Natural Science Foundation of China(Nos.11991020,11631013,11971372,11991021,11971089 and 11731013);the Strategic Priority Research Program of Chinese Academy of Sciences(No.XDA27000000);Dalian High-Level Talent Innovation Project(No.2020RD09)。
The augmented Lagrangian function and the corresponding augmented Lagrangian method are constructed for solving a class of minimax optimization problems with equality constraints.We prove that,under the linear indepen...
关键词：Minimax optimization Augmented Lagrangian method Rate of convergence Second-order sufficiency optimality 
Second-Order Formulas in Action
《Applied Mathematics》2024年第9期651-685,共35页Yuri Movsisyan 
This survey article illustrates many important current trends and perspectives for the field and their applications, of interest to researchers in modern algebra, mathematical logic and discrete mathematics. It covers...
关键词：Boolean Algebra Boolean Function Distributive Lattice Monotone Boolean Function De Morgan Algebra De Morgan Function Boole-De Morgan Algebra Quasi-De Morgan Function Hyperidentity Coidentity 
The Convergence Rate of Fréchet Distribution under the Second-Order Regular Variation Condition
《Journal of Applied Mathematics and Physics》2024年第5期1597-1605,共9页Xilai Dai 
In this article we consider the asymptotic behavior of extreme distribution with the extreme value index γ>0 . The rates of uniform convergence for Fréchet distribution are constructed under the second-order regular...
关键词：Convergence Rate Second-Order Regular Variation Condition Fréchet Distribution Extreme Value Index 
AN EFFICIENT FINITE DIFFERENCE METHOD FOR STOCHASTIC LINEAR SECOND-ORDER BOUNDARY-VALUE PROBLEMS DRIVEN BY ADDITIVE WHITE NOISES
《Journal of Computational Mathematics》2024年第2期432-453,共22页Mahboub Baccouch 
partially supported by the NASA Nebraska Space Grant Program and UCRCA at the University of Nebraska at Omaha.
In this paper,we develop and analyze a finite difference method for linear second-order stochastic boundary-value problems(SBVPs)driven by additive white noises.First we regularize the noise by the Wong-Zakai approxim...
关键词：Boundary-value problems Finite-difference method Additive white noise Wiener process Mean-square convergence Wong-Zakai approximation 
SEMI-IMPLICIT SPECTRAL DEFERRED CORRECTION METHODS BASED ON SECOND-ORDER TIME INTEGRATION SCHEMES FOR NONLINEAR PDES
《Journal of Computational Mathematics》2024年第1期111-133,共23页Ruihan Guo Yan Xu 
supported by NSFC(Grant No.11601490).Research of Y.Xu is supported by NSFC(Grant No.12071455).
In[20],a semi-implicit spectral deferred correction(SDC)method was proposed,which is efficient for highly nonlinear partial differential equations(PDEs).The semi-implicit SDC method in[20]is based on first-order time ...
关键词：Spectral deferred correction method Nonlinear PDEs Local discontinuous Galerkin method Second-order scheme 
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