| contributor author | Hu, Guang-Da | |
| date accessioned | 2017-11-25T07:20:27Z | |
| date available | 2017-11-25T07:20:27Z | |
| date copyright | 2017/12/7 | |
| date issued | 2017 | |
| identifier issn | 1555-1415 | |
| identifier other | cnd_012_05_051026.pdf | |
| identifier uri | http://138.201.223.254:8080/yetl1/handle/yetl/4236458 | |
| description abstract | In this paper, explicit Runge–Kutta methods are investigated for numerical solutions of nonlinear dynamical systems with conserved quantities. The concept, ε-preserving is introduced to describe the conserved quantities being approximately retained. Then, a modified version of explicit Runge–Kutta methods based on the optimization technique is presented. With respect to the computational effort, the modified Runge–Kutta method is superior to implicit numerical methods in the literature. The order of the modified Runge–Kutta method is the same as the standard Runge–Kutta method, but it is superior in preserving the conserved quantities to the standard one. Numerical experiments are provided to illustrate the effectiveness of the modified Runge–Kutta method. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | A Modified Runge–Kutta Method for Nonlinear Dynamical Systems With Conserved Quantities | |
| type | Journal Paper | |
| journal volume | 12 | |
| journal issue | 5 | |
| journal title | Journal of Computational and Nonlinear Dynamics | |
| identifier doi | 10.1115/1.4036761 | |
| journal fristpage | 51026 | |
| journal lastpage | 051026-7 | |
| tree | Journal of Computational and Nonlinear Dynamics:;2017:;volume( 012 ):;issue: 005 | |
| contenttype | Fulltext | |
