| 以下是已经正式发表的主要论文和专著,其中按研究方向分类 专著: [1]忻孝康,刘儒勋:《计算流体动力学》,国防科技大学出版社,1989.8 [2]刘儒勋,王志峰:《数值模拟方法和运动界面追踪》,中国科学技术大学出版社,2001.10 [3]刘儒勋,舒其望:《计算流体力学的若干新方法》,科学出版社,2003.4 关于有限元方法的论文主要的有: [1]刘儒勋,葛新石等,用有限元法计算汽冷叶片二维稳态温度场(合作),中国科学,3(1976)261 [2]Liu Ruxun, Element analysis and stiffness equation of moving finite element methods(MFEM), J. USTC, Suppl. (1986) [3]刘儒勋, 宣本金,一个简化的运动有限元方法, J. of Hydrodynamics, Ser.B 5-3(1993) [4]刘儒勋,李文志,一种自适应的变网格有限元方法,中国科大学报,24-1(1994) [5]罗振东,刘儒勋,弹性问题的混合有限元分析,中国科学技术大学学报,26-5(1996) [6]Luo Zhendong and Liu Ruxun, Mixed fiinite element analysis and numerical solitary solution for the RLW Equation, SIAM J. Numerical Analysis,36-1(1999)89-114 [7]王骥,李宏,刘儒勋,时间依赖问题的时空有限元法,中国科学技术大学学报,(1999) [8]罗振东,刘儒勋:Burgers方程的混合元分析及其数值模拟,计算数学, 21-3(1999)257-268 [9]Li Hong and Liu Ruxun,The space time finite element method for parabolic problems, Applied Math.And Mechanics,22-6(2001)687-700 [10]Li Hong and Liu Ruxun, The discontinuous Galerkin finite element method for the 2D shallow water equations, Mathematics and Computers in Simulation,56-3(2001) )223-233 [11]RuXun Liu, Hong Li and ZhiFeng Wang, The discontinuous finite element method for red-and green light models for the traffic flow, Mathematics and Compu...
以下是已经正式发表的主要论文和专著,其中按研究方向分类 专著: [1]忻孝康,刘儒勋:《计算流体动力学》,国防科技大学出版社,1989.8 [2]刘儒勋,王志峰:《数值模拟方法和运动界面追踪》,中国科学技术大学出版社,2001.10 [3]刘儒勋,舒其望:《计算流体力学的若干新方法》,科学出版社,2003.4 关于有限元方法的论文主要的有: [1]刘儒勋,葛新石等,用有限元法计算汽冷叶片二维稳态温度场(合作),中国科学,3(1976)261 [2]Liu Ruxun, Element analysis and stiffness equation of moving finite element methods(MFEM), J. USTC, Suppl. (1986) [3]刘儒勋, 宣本金,一个简化的运动有限元方法, J. of Hydrodynamics, Ser.B 5-3(1993) [4]刘儒勋,李文志,一种自适应的变网格有限元方法,中国科大学报,24-1(1994) [5]罗振东,刘儒勋,弹性问题的混合有限元分析,中国科学技术大学学报,26-5(1996) [6]Luo Zhendong and Liu Ruxun, Mixed fiinite element analysis and numerical solitary solution for the RLW Equation, SIAM J. Numerical Analysis,36-1(1999)89-114 [7]王骥,李宏,刘儒勋,时间依赖问题的时空有限元法,中国科学技术大学学报,(1999) [8]罗振东,刘儒勋:Burgers方程的混合元分析及其数值模拟,计算数学, 21-3(1999)257-268 [9]Li Hong and Liu Ruxun,The space time finite element method for parabolic problems, Applied Math.And Mechanics,22-6(2001)687-700 [10]Li Hong and Liu Ruxun, The discontinuous Galerkin finite element method for the 2D shallow water equations, Mathematics and Computers in Simulation,56-3(2001) )223-233 [11]RuXun Liu, Hong Li and ZhiFeng Wang, The discontinuous finite element method for red-and green light models for the traffic flow, Mathematics and Computers in Simulation, 56-1(2001)55-67
关于差分方法的论文主要的有: [1]刘儒勋 夏 南, 差分方法的耗散性和色散性分析,第一届计算物理学会年会文集,1984 [2]刘儒勋,RLW 方程的MacCormack 型格式,中国科学技术大学学报,13(1983), [3]刘儒勋 等,Quasi-characteristic method for solving nonlinear wave problems, 中国科学技术大学学报,16卷2期,1986 [4]刘儒勋,关于非线性计算稳定性,力学学报,16卷5期,1984 [5]刘儒勋,谈谈随机选择法,力学与实践,6卷4期,1984 [6]刘儒勋等,用特征线法解非线性波问题-计算格式和数值试验,中国科技大学学报,14卷2期,1984 [7]刘儒勋等,用拟特征线法解二维线性波问题,中国科学技术大学学报,15卷1期,1985 [8]刘儒勋,拟随机选择法,计算物理,4卷2期,1987 [9]刘儒勋等, 格式及其改进,计算物理,8卷3期,1991 [10]Liu Ruxun,The design of characterizing integral schemes & the application, Applied Mathematics & Mechanics 13, 1992. [11]刘儒勋,差分格式的余项效应研究,计算物理,9卷4期,1992 [12]刘儒勋,差分格式的余项效应分析及格式的改造和优化,中国科学技术大学学报,1994 [13]刘儒勋等,数值滤波的理论分析, 中国科学技术大学学报,28-4,1998,634-638 [14]Zhang Mengping, Liu Ruxun, Numerical analysis and construction of Limiter of high resolution difference Scheme, Applied Mathematics and Mechanics 19-7,1998,677-686 [15]Liu Ruxun et al, The effect-analysis of the numerical group-velocity for FDS, Applied Mathematics and Mechanics 19,1998 [16]王志峰,李宏,刘儒勋,基于模板选择方法的Godunov型差分方法, 中国科学技术大学学报,31-4(2001)429-435 [17]Wang Jiwen and Liu Ruxun,The composite finite volume method on unstructured triangular meshes for 2D shallow water equations,Inter. J.Numer.Methods in Fluids,33(2001)933-949 [18]Wang Jiwen and Liu Ruxun,A comparative study of FVM on unstructured meshes for simulations of 2D shallow water wave, Mathematics and Computers in Simulation,53(2000)171-184 [19]Liu Ruxun,et al.The designing approach of difference schemes by controlling the remainder- effect,Inter. J Numer. Meth. in Fluids, 31 (1999)523 [20]Wang Jiwen and Liu Ruxun, The composite finite volume method on unstructured meshes for the two-dimensional shallow water equations,Inter. J Numer. Meth. in Fluids,37-8(2001) 933-949 [21]Wang Jin and Liu Ruxun,A New Approach to Design High-Order Schemes, J. Comput. Appl. Math.,134-1/2(2001)59-67,
关于偏微分方程反问题的论文主要的有: [1]刘儒勋等,分层均匀介质密度和速度的确定,计算物理,3卷1期,1986 [2]Liu Ruxun et al, Filtering inverse method, Inverse Problems,Vol.3, 1987 [3]刘儒勋等,一维弹性和粘弹性应力波方程正反问题的特征线类方法, 中国科学技术大学学报,19卷1期,1989 [4]Liu Ruxun, D'alembert formula & the direct or inverse problems, Acta Mathematica Scientia 10,1990 [5]Liu Ruxun, The solutions of direct and inverse problems for 1D equal-traveltime layered elastic medium,Proceedings of Collaboration Research of USTC and the University of Science of DPRK, 1994
关于计算流体力学间断解问题的论文主要的有: [1]刘儒勋,田安久,计算流体力学,自然杂志,6期,1981 [2]刘儒勋等,空气冲击波在水面上透反射的特征线计算,中国科学技术大学学报,14卷3期,1984 [3]刘儒勋,魏勇,马赫反射的一种简便的数值模拟方法-分裂拟特征线法,计算物理,3卷2期,1986 [4]Liu Ruxun, A simple and convenient approach for numerical simulation of shock wave, 中国科学技术大学学报,17卷3期,1987 [5]刘儒勋,王如云,非定常激波在多重矩形障碍物中传播的数值模拟, 中国科学技术大学学报,20卷3期,1990 [6]刘儒勋, 计算流体动力学和计算水动力学的进展和展望(全国水动力学会大会报告), 力学与实践,16卷,1994 [7]刘儒勋,王志峰,浅谈计算数学的发展与展望,计算数学通讯,4(1998)11-20 关于交通流问题的论文主要有 [1]张 鹏,刘儒勋,交通流问题的有限元分析和模拟(I),计算物理,18-4(2001)329-333 [2]张 鹏,刘儒勋,交通流问题的有限元分析和模拟(II),计算物理,19-2(2002)142-148 [3]张 鹏,刘儒勋,交通流问题的有限元分析和模拟(III),计算物理,20-2(2003) [4]Zhang Peng and Ruxun Liu, Hyperbolic Conservation Laws with Space-dependent Flux: General study on Numerical Fluxes,J.Comput. Appl.Math.,156-1(2003)1-21 [5]Zhang Peng and Liu Ruxun, Generalization of Runge-Kutta discontinuous Galerkin method to LWR traffic flow model with inhomogeneous road conditions, Inter. J. Numer. Methods for PDE, 21-1(2005)80-88 [6]Zhang Peng and Liu Ruxun, Hyperbolic conservation laws with space-dependent flux: II. General study of numerical fluxes, J. Computational and Applied Mathematics, 176(2005)105-129 |