High-order Explicit Runge-Kutta Methods Using M-Symmetry
| dc.contributor.author | Feagin, Terry | |
| dc.date.accessioned | 2020-04-27T19:48:53Z | |
| dc.date.available | 2020-04-27T19:48:53Z | |
| dc.date.issued | 2012-12 | |
| dc.description.abstract | The Runge-Kutta equations of condition are reformulated. The concept of m-symmetry is defined. It is shown that any m-symmetric method is of order m. The equations of condition for a twelfth-order explicit Runge-Kutta method with twenty-five stages are solved using m-symmetry. The method contains an embedded tenth-order method that can be used to estimate the local truncation errors and thus to vary the stepsize. Numerical experiments demonstrate that the method compares favorably with other high-order methods, especially for those problems requiring highly accurate solutions. | en_US |
| dc.identifier.citation | Feagin, T., “High-order Explicit Runge-Kutta Methods Using M-Symmetry,” Neural, Parallel & Scientific Computations, Vol. 20, No. 4, December 2012, pp. 437-458 | en_US |
| dc.identifier.uri | https://hdl.handle.net/10657.1/2296 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Neural, Parallel & Scientific Computations | en_US |
| dc.title | High-order Explicit Runge-Kutta Methods Using M-Symmetry | en_US |
| dc.type | Article | en_US |
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