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?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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