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《ACTA MATHEMATIEA SCIENTIA》 1997-01
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Parallel Block Implicit Hybrid One-Step Methods with Higher Order Derivative

Liu Gang(COmputing Center, Wuhan University of Technology 430070)  
In this paper, a class of K-block implicit hybrid methods with higher orderderivative for the numerical integration of initial value problems in ordinary differential equations are derived. By the methods, a block of K new values can be obtained simultaneously on S-processors. It is shown that the method of order (1 + 1 ) (d + 1 ) exist, where K = s· d. The theorems of convergence and numerical stability are presented, and one numerical experiment is also given.
【CateGory Index】: O241
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LI Jian guo(College of Science,Beijing University of Chemical Technology,Beijing 100029,China);GP_G- stability of one block methods[J];Journal of Beijing University of Chemical Technology;2005-01
2 Kuang Jiaoxun (Shanghai Teachers University);BLOCK IMPLICIT ONE-STEP METHODS WITH HIGHER ORDER DERIVATIVE[J];Numerical Mathematics A Journal of Chinese Universities;1987-01
3 Zhao Shuangsuo (Lanzhou University);ON THE HIGHEST ORDERS OF K-POINT BLOCK 0-METHODS[J];Numerical Mathematics A Journal of Chinese Universities;1992-01
4 Liu Gang (Wuhan University of Technology);PAPALLEL BLOCK IMPLICIT ONE-STEP METHODS WITH HIGHER ORDER DERIVATIVE[J];Numerical Mathematics A Journal of Chinese Universities;1995-03
5 Zhao Shuangsuo Zhang Guofeng Dept. of Inform. and Comput. Sci., The Second Northwest University for Nationalities, Yinchunan 750021, PRCDept. of Math., Lanzhou University, Lanzhou 73000, PRC.;A CLASS OF r-POINT (r+1)ST-ORDER A-STABLE ONE-BLOCK METHODS WITH DAMPING AT THE INFINITE POINT[J];高等学校计算数学学报(英文版);2002-02
6 Sun Geng (Institute of Mathematics, Academia Sinica, Beijing, China);CHARACTERIZATION AND CONSTRUCTION OF LINEAR SYMPLECTIC RK-METHODS[J];计算数学(英文版);1994-02
7 Zhao Shuang-suo;Zhang Guo-feng (Department of Mathematics Lanzhou University, Lanzhou);A CLASS OF ONE-BLOCK IMPLICIT METHODS WITH NONDEROGATORY COEFFICENT MATRIX HAVING ONLY TWO DIFFERENT POSITIVE EIGENVALUES[J];MATHEMATICA NUMERICA SINICA;1997-01
8 Zhao Shuangsuo (Department of Information and Computation Science, The Second Northwest Institute for Ethnic Minorities, Yinchuan 750021, China);TWO ITERATION METHODS WITH L-CONVERGENCE FOR SOLVING STRONG STIFF BLOCK SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS[J];Mathematica Numerica Sinica;2006-04
9 Li Linzhong and Chu Zhongwu (Harbin Institute of Technology);A CLASS OF POLYNOMIAL COLLOCATION METHODS WITH SECOND DERIVATIVE FOR SOLVING STIFF ORDINARY DIFFERENTIAL EQUATIONS[J];Chinese Journal of Computation Physics;1991-02
10 Li Lin/hong and Xue Xiaohui Department of Mathematics, Harbin Institute of Technology;PARALLEL θ-BLOCK PREDICTOR - CORRECTOR METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS[J];Chinese Journal of Computation Physics;1993-03
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 Kuang Jiaoxun (Shanghai Teachers University);BLOCK IMPLICIT ONE-STEP METHODS WITH HIGHER ORDER DERIVATIVE[J];Numerical Mathematics A Journal of Chinese Universities;1987-01
2 Liu Gang;On the Numerical Stability Properties of Block Implicit One--step Methods with Higher Order Derivative[J];;1991-02
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