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Titlebook: Analysis of Discretization Methods for Ordinary Differential Equations; Hans J. Stetter Book 1973 Springer-Verlag Berlin Heidelberg 1973 A

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https://doi.org/10.1007/978-3-662-36828-2on methods for ordinary differential equations (both initial and boundary value problems) but also to a great variety of other numerical methods as indicated in the Preface (see also the end of Section 1.1.1). It should be emphasized that this is also true for the material on asymptotic expansions a
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https://doi.org/10.1007/978-3-642-65471-8Analysis; Differential Equations; Differentialgleichung; Diskretisation; Ordinary Differential Equations
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Other Discretization Methods for IVP 1, computation of values of higher derivatives of the local solution of an IVP 1 is feasible for large classes of IVP 1. In Section 6.1, we will survey some of the principal approaches which yield f. s. m. using such higher derivatives.
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Miguel Zulaica y Mugica,Marc Fabian Buckever, still restrict ourselves to forward step methods which compute only quantities which are supposed to be approximations to values of . and .′; other f. s. m. will be discussed in Chapter 6. The emphasis of the analysis will be on some important special classes of multistage multistep methods.
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