(c) The iteration formulas of many multistep methods are derived by integrating suitable interpolating and extrapolating polynomials. Explain briefly how this is done to obtain the Adams-Moulton method. Do not give formulas, but explain at each stage which points polynomials are fitted through, and over which intervals integration is done.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 65E
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(c) The iteration formulas of many multistep methods are derived by integrating suitable interpolating
and extrapolating polynomials. Explain briefly how this is done to obtain the Adams-Moulton
method. Do not give formulas, but explain at each stage which points polynomials are fitted
through, and over which intervals integration is done.
Transcribed Image Text:(c) The iteration formulas of many multistep methods are derived by integrating suitable interpolating and extrapolating polynomials. Explain briefly how this is done to obtain the Adams-Moulton method. Do not give formulas, but explain at each stage which points polynomials are fitted through, and over which intervals integration is done.
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