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- W137643916 abstract "Low order Runge-Kutta algorithms are developed which determine the solution of a system of ordinary differential equations at any point within a given integration step, as well as at the end of each step. The scaled Runge-Kutta methods are designed to be used with existing Runge-Kutta formulas, using the derivative evaluations of these defining algorithms as the core of the system. For a slight increase in computing time, the solution may be generated within the integration step, improving the efficiency of the Runge-Kutta algorithms, since the step length need no longer be severely reduced to coincide with the desired output point. Scaled Runge-Kutta algorithms are presented for orders 3 through 5, along with accuracy comparisons between the defining algorithms and their scaled versions for a test problem." @default.
- W137643916 created "2016-06-24" @default.
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- W137643916 date "1981-03-11" @default.
- W137643916 modified "2023-09-30" @default.
- W137643916 title "Scaled Runge-Kutta algorithms for handling dense output" @default.
- W137643916 hasPublicationYear "1981" @default.
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