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- W236362924 abstract "This chapter discusses some methods of Runge–Kutta type. The basis of Taylor's series method is the calculation of the coefficients of the Taylor's series, with origin at a particular pivotal so that the function can be evaluated at the next pivotal point. The method is applicable to single equations or simultaneous equations of any order, and nonlinearities are important only to the extent of the labor involved in computing the coefficients in Taylor's series. The method commonly called the Runge–Kutta process is one of several fourth-order processes. Their derivation involves complicated algebraic manipulations. The Runge–Kutta processes are very convenient in automatic computation. Many modern machines have subroutines available for the automatic use of the standard fourth-order process or the variant of Gill. All Runge–Kutta methods show the curious phenomenon that the error depends on the form of the differential equation and on its solution." @default.
- W236362924 created "2016-06-24" @default.
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- W236362924 date "1962-01-01" @default.
- W236362924 modified "2023-09-27" @default.
- W236362924 title "METHODS OF RUNGE—KUTTA TYPE" @default.
- W236362924 doi "https://doi.org/10.1016/b978-0-08-009660-5.50005-1" @default.
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