RUNGE-KUTTA_METHODS

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相关机构：华东师范大学南京航空航天大学哈尔滨工业大学(威海)电子科技大学更多>>
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A Novel Class of Energy-Preserving Runge-Kutta Methods for the Korteweg-de Vries Equation
《Numerical Mathematics(Theory,Methods and Applications)》2022年第3期768-792,共25页Yue Chen Yuezheng Gong Qi Hong Chunwu Wang 
supported by the Foundation of Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems(Grant No.202002);the Natural Science Foundation of Jiangsu Province(Grant No.BK20180413);the National Natural Science Foundation of China(Grant Nos.11801269,12071216);supported by Science Challenge Project(Grant No.TZ2018002);National Science and TechnologyMajor Project(J2019-II-0007-0027);supported by the China Postdoctoral Science Foundation(Grant No.2020M670116);the Foundation of Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems(Grant No.202001).
In this paper,we present a quadratic auxiliary variable approach to develop a new class of energy-preserving Runge-Kutta methods for the Korteweg-de Vries equation.The quadratic auxiliary variable approach is first pr...
关键词：Quadratic auxiliary variable approach symplectic Runge-Kutta scheme energypreserving algorithm Fourier pseudo-spectral method 
Symmetric-Adjoint and Symplectic-Adjoint Runge-Kutta Methods and Their Applications
《Numerical Mathematics(Theory,Methods and Applications)》2022年第2期304-335,共32页Geng Sun Siqing Gan Hongyu Liu Zaijiu Shang 
supported by the NSF of China(No.11771436);The work of S.Gan was supported by the NSF of China,No.11971488;The work of H.Liu was supported by the Hong Kong RGC General Research Funds,12301218,12302919 and 12301420;The work of Z.Shang was supported by the NSF of China,No.11671392.
Symmetric and symplectic methods are classical notions in the theory of numerical methods for solving ordinary differential equations.They can generate numerical flows that respectively preserve the symmetry and sympl...
关键词：Runge-Kutta method SYMMETRIC SYMPLECTIC ADJOINT HIGH-ORDER explicit method 
Stability Analysis of Runge-Kutta Methods for Nonlinear Neutral Volterra Delay-Integro-Differential Equations
《Numerical Mathematics(Theory,Methods and Applications)》2011年第4期537-561,共25页Wansheng Wang Dongfang Li 
supported by NSF of China(Grant No.11001033);Natural Science Foundation of Hunan Province(Grant No.10JJ4003);Chinese Society for Electrical Engineering,and Graduates’innovation fund of HUST(No.HF-08-02-2011-011).
This paper is concerned with the numerical stability of implicit Runge-Kutta methods for nonlinear neutral Volterra delay-integro-differential equations with constant delay.Using a Halanay inequality generalized by Li...
关键词：Neutral differential equations Volterra delay-integro-differential equations Runge-Kutta methods stability 
A PARALLEL COMPUTATION SCHEME FOR IMPLICIT RUNGE-KUTTA METHODS AND THE ITERATIVELY B-CONVERGENCE OF ITS NEWTON ITERATIVE PROCESS
《Numerical Mathematics A Journal of Chinese Universities(English Series)》1994年第1期54-66,共13页赵双锁 王昌银 
national natural science foundation ; natural science foundation of Gansu province.
In this paper, based on the implicit Runge-Kutta(IRK) methods, we derive a class of parallel scheme that can be implemented on the parallel computers with Ns(N is a positive even number) processors efficiently, and di...
关键词：IMPLICIT Range-Kutta methods NEWTON ITERATIVE process parallel COMPUTATION iteratively B-CONVERGENCE 
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