HIGH-ORDER

作品数：527被引量：695H指数：10
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High-order Soliton Matrix for the Third-order Flow Equation of the Gerdjikov-Ivanov Hierarchy Through the Riemann-Hilbert Method
《Acta Mathematicae Applicatae Sinica》2024年第2期358-378,共21页Jin-yan ZHU Yong CHEN 
supported by the National Natural Science Foundation of China(No.12175069 and No.12235007);Science and Technology Commission of Shanghai Municipality(No.21JC1402500 and No.22DZ2229014);Natural Science Foundation of Shanghai,China(No.23ZR1418100).
The Gerdjikov-Ivanov(GI)hierarchy is derived via recursion operator,in this article,we mainly investigate the third-order flow GI equation.In the framework of the Riemann-Hilbert method,the soliton matrices of the thi...
关键词：Gerdjikov-Ivanov hierarchy third-order flow GI equation Riemann-Hilbert method high-order soliton 
High-Order Decoupled and Bound Preserving Local Discontinuous Galerkin Methods for a Class of Chemotaxis Models
《Communications on Applied Mathematics and Computation》2024年第1期372-398,共27页Wei Zheng Yan Xu 
supported by the NSFC grant 12071455.
In this paper,we explore bound preserving and high-order accurate local discontinuous Galerkin(LDG)schemes to solve a class of chemotaxis models,including the classical Keller-Segel(KS)model and two other density-depe...
关键词：Chemotaxis models Local discontinuous Galerkin(LDG)scheme Convex splitting method Variant energy quadratization method Scalar auxiliary variable method Spectral deferred correction method 
An Arbitrarily High-Order Energy-Preserving Scheme for the Lorentz Force System
《Journal of Mathematical Research with Applications》2023年第1期116-126,共11页Jialing WANG Jiazhen HUANG Wenjun CAI 
Support by the National Natural Science Foundation of China(Grants Nos.11801277;11971242).
This letter is focused on proposing an arbitrarily high-order energy-preserving method for solving the charged-particle dynamics.After transforming the original Hamiltonian energy functional into a quadratic form by u...
关键词：Lorentz force system energy-preserving method invariant energy quadratization method symplectic Runge-Kutta method 
A deep learning method for solving high-order nonlinear soliton equations被引量：1
《Communications in Theoretical Physics》2022年第7期57-69,共13页Shikun Cui Zhen Wang Jiaqi Han Xinyu Cui Qicheng Meng 
supported by National Science Foundation of China(52171251);Liao Ning Revitalization Talents Program(XLYC1907014);the Fundamental Research Funds for the Central Universities(DUT21ZD205);Ministry of Industry and Information Technology(2019-357);the Project of State Key Laboratory of Satellite Ocean Environment Dynamics,Second Institute of Oceanography,MNR(QNHX2112)。
We propose an effective scheme of the deep learning method for high-order nonlinear soliton equations and explore the influence of activation functions on the calculation results for higherorder nonlinear soliton equa...
关键词：deep learning method physics-informed neural networks high-order nonlinear soliton equations interaction between solitons the numerical driven solution 
High-Order Discontinuous Galerkin Method for Hovering Rotor Simulations Based on a Rotating Reference Frame
《Transactions of Nanjing University of Aeronautics and Astronautics》2019年第1期57-70,共14页ZHANG Tao Lü Hongqiang QIN Wanglong CHEN Zhengwu 
co-supported by the National High Technology Research and Development Program of China(No.2015AA015303);the National Natural Science Foundation of China(No.11272152);the Aeronautical Science Foundation of China(No.20152752033);the Open Project of Key Laboratory of Aerodynamic Noise Control
An implicit higher ? order discontinuous Galerkin(DG) spatial discretization for the compressible Euler equations in a rotating frame of reference is presented and applied to a rotor in hover using hexahedral grids. I...
关键词：high-order method(HOM) discontinuous Glaerkin method(DGM) Euler equation hovering rotor simulation tip vortex 
A High-OrderDiscontinuous GalerkinMethod for the Two-Dimensional Time-Domain Maxwell’s Equations on Curved Mesh被引量：1
《Advances in Applied Mathematics and Mechanics》2016年第1期104-116,共13页Hongqiang Lu Yida Xu Yukun Gao Wanglong Qin Qiang Sun 
National Natural Science Foundation of China:No.11272152 and Aeronautical Science Foundation of China:No.20101552018.
In this paper,a DG(Discontinuous Galerkin)method which has been widely employed in CFD(Computational Fluid Dynamics)is used to solve the twodimensional time-domain Maxwell’s equations for complex geometries on unstru...
关键词：Maxwell’s equations discontinuous Galerkin method curved mesh radar crosssection. 
High-Order FEM Formulation for 3-D Slope Instability被引量：1
《Applied Mathematics》2013年第5期8-17,共10页Tiwari Ram Chandra Bhandary Netra Prakash Yatabe Ryuichi 
High-order finite element method (FEM) formulation also referred to as spectral element method (SEM) formulation is currently implemented in this paper for 3-dimensional (3-D) elasto-plastic problems in stability asse...
关键词：Finite ELEMENT METHOD Spectral ELEMENT METHOD SLOPE INSTABILITY Vegetated and Barren SLOPES Parallel Algorithm 
A method for static aeroelastic analysis based on the high-order panel method and modal method被引量：9
《Science China(Technological Sciences)》2011年第3期741-748,共8页YANG Chao ZHANG BoCheng WAN ZhiQiang WANG YaoKun 
supported by the National Natural Science Foundation of China (Grant Nos. 60736025, 90716006 and 10902006);the Doctoral Program Foundation of Institutions of Higher Education of China (Grant No. 20091102110015);the Major Programs of China National Space Administration (Grant No. D2120060013)
A method for static aeroelastic analysis based on the high-order panel method and modal method is presented. The static aeroelastic characteristics of flexible wings are investigated using this method. Three-dimension...
关键词：aeroelasticity flight loads high-order panel method modal method experimental aerodynamic forces 
A High-Order Newton-Like Method
《Wuhan University Journal of Natural Sciences》2011年第1期4-6,共3页WANG Xiuhua TANG Lijun KOU Jisheng 
Supported by the National Natural Science Foundation of China (10826082);the Key Disciplines Project of Shanghai Municipality (S30104);the Shanghai Leading Academic Discipline Project (J50101)
This paper gives a new iterative method to solve the non-linear equation. We prove that this method has the asymptotic convergent order. When the iterative times exceed 2,only one evaluation of the function and one of...
关键词：non-linear equation iterative method Newton＇s method ROOT-FINDING 
A force control high-order single-step-β method (HSM) for substructure pseudo-dynamic testing被引量：1
《Journal of Harbin Institute of Technology(New Series)》2010年第6期873-879,共7页陈再现 王焕定 王凤来 周广春 
Sponsored by the National Natural Science Foundation of China(Grant No.50508012)
This paper proposes a new technique which introduces the high-order single-step-β method(HSM)into the experimental study on the substructure pseudo-dynamic testing(SPDT).The technique is based on the proposed concept...
关键词：high-order single-step-β method(HSM) force control equivalent shear stiffness correction full-scale model 
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