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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 311 - 327 (17page)
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In this paper, we propose an error embedded Runge-Kutta method to improvethe traditional embedded Runge-Kutta method. The proposed scheme can be applied intomost explicit embedded Runge-Kutta methods. At each integration step, the proposedmethod is comprised of two equations for the solution and the error, respectively. Thesesolution and error are obtained by solving an initial value problem whose solution hasthe information of the error at each integration step. The constructed algorithm controlsboth the error and the time step size simultaneously and possesses a good performancein the computational cost compared to the original method. For the assessment of theeffectiveness, the van der Pol equation and another one having a difficulty for the global
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참고문헌 (21)
참고문헌 신청
https://www.dm.uniba.it/testset/testsetivpsolvers
K. E. Atkinson / 1989 / An introduction to numerical analysis / John Wiley & Sons, Inc.
L. Brugnano / 2012 / Energy- and quadratic invariantspreserving integrators based upon Gauss collocation formulae / SIAM J. Numer. Anal. 50:2897~2916
S. Bu / 2012 / Semi-implicit Krylov deferred correction methods for differential algebraic equations / Math. Comput. 81(280):2127~2157
M. P. Calvo / 1995 / Accurate long-term integration of dynamical systems / Appl. Numer. Math. 18:95~105
K. E. Atkinson / 1989 / An introduction to numerical analysis / John Wiley & Sons, Inc.
L. Brugnano / 2012 / Energy- and quadratic invariantspreserving integrators based upon Gauss collocation formulae / SIAM J. Numer. Anal. 50:2897~2916
S. Bu / 2012 / Semi-implicit Krylov deferred correction methods for differential algebraic equations / Math. Comput. 81(280):2127~2157
M. P. Calvo / 1995 / Accurate long-term integration of dynamical systems / Appl. Numer. Math. 18:95~105
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