Titlebook: Numerical Analysis of Ordinary and Delay Differential Equations; Taketomo Mitsui,Guang-Da Hu Textbook 2023 The Editor(s) (if applicable) a

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https://doi.org/10.1007/978-981-19-9263-6numerical algorithm; differential equation; ordinary; delay; stability; numerical analysis

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Initial-Value Problems of Differential Equations: Theory,We already introduced the concept and examples of ordinary differential equations in Chap. .. To deal with numerical solutions of the equation, several basic notions and analyses are required.

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Polynomial Interpolation,Prior to describing the linear multistep method, another major class of numerical solution of ODEs, we will study interpolation, which is one of the common tools in function approximation.