Journal article
On some discretization methods for solving a linear matrix ordinary differential equation
Journal of Mathematical Chemistry, Vol.49(5), pp.1026-1041
05/2011
DOI: 10.1007/s10910-010-9794-z
Abstract
In this paper, some discretization methods are considered for solving a linear matrix ordinary differential equation. Discussion is focused on a family of one step methods which include Euler, backward Euler, and Crank–Nicolson schemes as special cases, as well as the Runge–Kutta methods. As an illustration, detailed convergence and error analysis are given for the family of one step methods. Some numerical examples are provided to show the good performance of the methods.
Details
- Title: Subtitle
- On some discretization methods for solving a linear matrix ordinary differential equation
- Creators
- Hao Zheng - Department of Chemistry Zhejiang University 310027 Hangzhou ChinaWeimin Han - Department of Mathematics and Program in Applied Mathematical and Computational Sciences University of Iowa Iowa City IA 52242 USA
- Resource Type
- Journal article
- Publication Details
- Journal of Mathematical Chemistry, Vol.49(5), pp.1026-1041
- Publisher
- Springer Netherlands; Dordrecht
- DOI
- 10.1007/s10910-010-9794-z
- ISSN
- 0259-9791
- eISSN
- 1572-8897
- Language
- English
- Date published
- 05/2011
- Academic Unit
- Mathematics
- Record Identifier
- 9983985873602771
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