December 2020
Intermediate to advanced
1064 pages
49h 13m
English
6.3 Multistep Methods
INTRODUCTION
Euler’s, the improved Euler’s, and the Runge–Kutta methods are examples of single-step or starting methods. In these methods each successive value yn + 1 is computed based only on information about the immediately preceding value yn. On the other hand, multistep or continuing methods use the values from several computed steps to obtain the value of yn + 1. There are a large number of multistep method formulas for approximating solutions of DEs, but since it is not our intention to survey the vast field of numerical procedures, we will consider only one such method here.
Adams–Bashforth–Moulton Method
The multistep ...
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