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- W3022907239 abstract "This chapter describes some techniques that are used to obtain approximate values of the solution of an initial value problem for a first-order differential equation. The Euler method is relatively simple and unsophisticated and is seldom used in practice. It is regarded as a simple special case of a class of methods whose validity is based on Taylor's formula. More complicated approximation schemes are derived by retaining more terms in Taylor's formula. The chapter provides an overview on a multi-step model. The predictor-corrector methods are preferred over the Runge–Kutta methods because the latter provide no such estimate. It is not feasible to change the spacing h at some intermediate point in the computations when using the predictor-corrector formulas; this presents no difficulty when using a Runge-Kutta method." @default.
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- W3022907239 date "1982-01-01" @default.
- W3022907239 modified "2023-09-24" @default.
- W3022907239 title "Numerical Methods" @default.
- W3022907239 doi "https://doi.org/10.1016/b978-0-12-573945-0.50011-4" @default.
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