| ON THE EXISTENCE AND UNIQUENESS OF SOLUTION OF IMPLICIT HYBRID METHODS |
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| 引用本文： | 赵双锁,王昌银,张国风. ON THE EXISTENCE AND UNIQUENESS OF SOLUTION OF IMPLICIT HYBRID METHODS[J]. 高等学校计算数学学报(英文版), 1996, 0(2) |
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| 作者姓名： | 赵双锁 王昌银 张国风 |
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| 作者单位： | Department of Mathematics，Lanzhou University，Lanzhou 730000，PRC.，Institute of Mechanical and Electronic Engineering，Gansu University of Technology，Lanzhou 730050，PRC.，Department of Mathematics，Lanzhou University，Lanzhou 730000，PRC. |
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| 基金项目： | Supported by the national natural science foundation. |
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| 摘 要： | In this paper the existence and uniqueness of the solution of implicit hybrid methods(IHMs)for solving the initial value problems(IVPs)of stiff ordinary differential equations(ODEs)is considered.We provide the coefficient condition and its judging criterion as well as the righthand condition to ensure the existing solution uniquely.
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ON THE EXISTENCE AND UNIQUENESS OF SOLUTION OF IMPLICIT HYBRID METHODS |
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| Zhao Shuang-suo. ON THE EXISTENCE AND UNIQUENESS OF SOLUTION OF IMPLICIT HYBRID METHODS[J]. Numerical Mathematics A Journal of Chinese Universities English Series, 1996, 0(2) |
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| Authors: | Zhao Shuang-suo |
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| Affiliation: | Zhao Shuang-suo Department of Mathematics,Lanzhou University,Lanzhou 730000,PRC. Wang Chang-yin Institute of Mechanical and Electronic Engineering,Gansu University of Technology,Lanzhou 730050,PRC. Zhang Guo-feng Department of Mathematics,Lanzhou University,Lanzhou 730000,PRC. |
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| Abstract: | In this paper the existence and uniqueness of the solution of implicit hybrid methods(IHMs)for solving the initial value problems(IVPs)of stiff ordinary differential equations(ODEs)is considered.We provide the coefficient condition and its judging criterion as well as the righthand condition to ensure the existing solution uniquely. |
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| Keywords: | TVPs of stiff system Implicit hybrid methods One-side Lipschitz condition Logarithmic norm Existence and uniqueness of solution. |
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