The ODE solution methods covered our class were based on approximating the integral in the definition of the average slope using Newton-Cotes methods. This resulted in specific Runge-Kutta methods. Would it be possible, to derive Runge-Kutta methods based on Gaussian quadrature? Can you help me explain, conceptually, why or why not?

The ODE solution methods covered our class were based on approximating the integral in the definition of the average slope using Newton-Cotes methods. This resulted in specific Runge-Kutta methods. Would it be possible, to derive Runge-Kutta methods based on Gaussian quadrature? Can you help me explain, conceptually, why or why not?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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