An investigation of Runge-Kutta processes, and equivalence of scalar and vector cases

DOI10.1016/0022-247X(84)90021-0zbMath0552.65057MaRDI QIDQ801642

Leroy Derr, Curtis Outlaw, Diran Sarafyan

Publication date: 1984

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

systemsRunge-Kutta methodssixth-order formulae

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Approximate solution of ordinary differential equations and their systems through discrete and continuous embedded Runge-Kutta formulae and upgrading of their order ⋮ Families of continuous approximate processes for the solution of ordinary differential equations ⋮ Higher order continuous solution of \(y=f(x,y,y')\) and \(y=f(x,y)\) initial value problems ⋮ New algorithms for the continuous approximate solution of ordinary differential equations and the upgrading of the order of the processes ⋮ Continuous approximate solution of ordinary differential equations and their systems

Cites Work

• Improved sixth-order Runge-Kutta formulas and approximate continuous solution of ordinary differential equations
• High-order Explicit Runge-Kutta Formulae, Their Uses, and Limitations
• Solutions of Differential Equations by Evaluations of Functions
• Solutions of the Fifth-Order Runge-Kutta Equations
• Coefficients for the study of Runge-Kutta integration processes
• On the integration processes of A. Huťa
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