云南高校图书馆联盟文献共享服务平台- RUNGE-KUTTA

RUNGE-KUTTA_METHODS: 作品数：63被引量：92H指数：4; 导出分析报告; 相关作者：刘梅林刘少斌王志勇李寿佛甘四清更多>>; 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>>; 相关期刊：《Journal of Computational Mathematics》《Advances in Aerodynamics》《Transactions of Nanjing University of Aeronautics and Astronautics》《Applied Mathematics and Mechanics(English Edition)》更多>>; 相关基金：国家自然科学基金中国博士后科学基金国家重点基础研究发展计划国家高技术研究发展计划更多>>

ON THE EXPLICIT TWO-STAGE FOURTH-ORDER ACCURATE TIME DISCRETIZATIONS被引量：1: 《Journal of Computational Mathematics》2023年第2期305-324,共20页Yuhuan Yuan Huazhong Tang; partially supported by the Special Project on Highperformance Computing under the National Key R&D Program(No.2020YFA0712002);the National Natural Science Foundation of China(No.12126302,12171227).; This paper continues to study the explicit two-stage fourth-order accurate time discretizations[5-7].By introducing variable weights,we propose a class of more general explicit one-step two-stage time discretizations,...; 关键词：Multistage multiderivative methods Runge-Kutta methods Absolute stability region Interval of absolute stability

A CLASS OF TWO-STEP CONTINUITY RUNGE-KUTTA METHODS FOR SOLVING SINGULAR DELAY DIFFERENTIAL EQUATIONS AND ITS STABILITY ANALYSIS被引量：1: 《Journal of Computational Mathematics》2005年第6期647-656,共10页Xin Leng De-gui Liu Xiao-qiu Song Li-rong Chen; In this paper, a class of two-step continuity Runge-Kutta（TSCRK） methods for solving singular delay differential equations（DDEs） is presented. Analysis of numerical stability of this methods is given. We consider ...; 关键词：Analysis of numerical stability Singular delay differential equations Two-step continuity Runge-Kutta methods

STABILITY ANALYSIS OF RUNGE-KUTTA METHODS FOR NONLINEAR SYSTEMS OF PANTOGRAPH EQUATIONS: 《Journal of Computational Mathematics》2005年第4期351-356,共6页Yue-xin Yu Shou-fu Li; This work is supported by the National Natural Science Foundation of China（No. 10271100）.; This paper is concerned with numerical stability of nonlinear systems of pantograph equations. Numerical methods based on （k, l）-algebraically stable Runge-Kutta methods are suggested. Global and asymptotic stabilit...; 关键词：Nonlinear pantograph equations Runge-Kutta methods Numerical stability Asymptotic stability

SINGLY DIAGONALLY IMPLICIT RUNGE-KUTTA METHODS COMBINING LINE SEARCH TECHNIQUES FOR UNCONSTRAINED OPTIMIZATION: 《Journal of Computational Mathematics》2005年第2期153-164,共12页Xin-longLuo; There exists a strong connection between numerical methods for the integration of ordinary differential equations and optimization problems. In this paper, we try to discover further their links. And we transform unco...

CHARACTERIZATIONS OF SYMMETRIC MULTISTEP RUNGE-KUTTA METHODS: 《Journal of Computational Mathematics》2004年第6期791-796,共6页Ai-guoXiao Si-qingGan; Some characterizations for symmetric multistep Runge-Kutta(RK) methods are obtained. Symmetric two-step RK methods with one and two-stages are presented. Numerical examples show that symmetry of multistep RK methods a...

H-STABILITY OF RUNGE-KUTTA METHODS WITH VARIABLE STEPSIZE FOR SYSTEM OF PANTOGRAPH EQUATIONS被引量：1: 《Journal of Computational Mathematics》2004年第5期727-734,共8页YangXu Jing-junZhao Ming-zhuLiu; This paper deals with H-stability of Runge-Kutta methods with variable stepsize for the system of pantograph equations. It is shown that both Runge-Kutta methods with nonsingular matrix coefficient A and stiffly accur...

ASYMPTOTIC STABILITY OF RUNGE-KUTTA METHODS FOR THE PANTOGRAPH EQUATIONS被引量：3: 《Journal of Computational Mathematics》2004年第4期523-534,共12页Jing-junZhao Wan-rongCao Ming-zhuLiu; This paper considers the asymptotic stability analysis of both exact and numerical solutions of the following neutral delay differential equation with pantograph delay.{x′(t)+Bxd(t)+Cx′(qt)+Dx(qt)=0,t>0,x(0)=X0,}whe...

CONVERGENCE OF PARALLEL DIAGONAL ITERATION OF RUNGE-KUTTA METHODS FOR DELAY DIFFERENTIAL EQUATIONS: 《Journal of Computational Mathematics》2004年第3期361-370,共10页Xiao-huaDing MingzhuLiu; Implicit Runge-Kutta method is highly accurate and stable for stiff initial value problem. But the iteration technique used to solve implicit Runge-Kutta method requires lots of computational efforts. In this paper, w...

NONLINEAR STABILITY OF NATURAL RUNGE-KUTTA METHODS FOR NEUTRAL DELAY DIFFERENTIAL EQUATIONS被引量：18: 《Journal of Computational Mathematics》2002年第6期583-590,共8页Cheng-jian Zhang(Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, Hubei, P. R. China); NSFC (No.69974018);China Postdoctoral Science Foundation.; Presents the stability analysis of theoretical solutions for a class of nonlinear neutral delay-differential equations (NDDE). Discussion on the numerical analogous results of the natural Runge-Kutta (NRK) methods for...; 关键词：nonlinear stability neutral delay differential equations natural Runge-Kutta methods

CONVERGENCE RESULTS OF RUNGE-KUTTA METHODS FOR MULTIPLY-STIFF SINGULAR PERTURBATION PROBLEMS被引量：4: 《Journal of Computational Mathematics》2002年第3期325-336,共12页Ai-guo Xiao (Department of Mathematics, Xiangtan University, Xiangtan 411105, China); This work is supported by National High-Tech ICF Committee in China ; Scientific Research Fund of Hunan Provincial Education Department.; Presents information on a study which provided convergence results for algebraically stable Runge-Kutta methods applied to some classes of one- and two-parameter multiply-stiff singular perturbation problems (MSPP). D...; 关键词：singular perturbation problems Runge-Kutta methods CONVERGENCE multiple-stiffness

RUNGE-KUTTA_METHODS