An eighth order Runge-Kutta process with eleven function evaluations per step-Reference-Cited by-同舟云学术

An eighth order Runge-Kutta process with eleven function evaluations per step

Published:1970-12 Issue:3 Volume:16 Page:268-277
ISSN:0029-599X
Container-title:Numerische Mathematik
language:en
Short-container-title:Numer. Math.

Author:

Curtis A. R.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF02219778.pdf

Reference6 articles.

1. Butcher, J. C.: Coefficients for the study of Runge-Kutta integration processes. Journal of the Australian Mathematical Society3, 185–201 (1963)

2. —— On Runge-Kutta processes of high order. Journal of the Australian Mathematical Society4, 179–194 (1964).

3. Gill, S.: A process for the step-by-step integration of differential equations in an automatic digital computing machine. Proceedings of the Cambridge Philosophical Society47, 96–108 (1951).

4. Huta, A.: Une amélioration de la méthode de Runge-Kutta-Nyström pour la résolution numérique des équations différentielles du premier ordre. Acta Fac. Nat. Univ. Comenian. Math.1, 201–224 (1956).

5. —— Contribution à la formule de sixième ordre dans la méthode de Runge-Kutta-Nyström. Acta Fac. Nat. Univ. Comenian. Math.2, 21–24 (1957)

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Nullspaces yield new explicit Runge–Kutta pairs;Numerical Algorithms;2024-02-16

2. Symmetric-Adjoint and Symplectic-Adjoint Runge-Kutta Methods and Their Applications;Numerical Mathematics: Theory, Methods and Applications;2022-06

3. Production of the Reduction Formula of Seventh Order Runge-Kutta Method with Step Size Control of an Ordinary Differential Equation;Applied Mathematics;2022

4. An Overview of High-Order Implicit Algorithms for First-/Second-Order Systems and Novel Explicit Algorithm Designs for First-Order System Representations;Archives of Computational Methods in Engineering;2021-02-01

5. References;Numerical Methods for Ordinary Differential Equations;2016-08-01