| 11. | It is however possible to perform this integration numerically using the Runge Kutta method or similar techniques.
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| 12. | Examples of such routines are Euler's method, or better, the Runge Kutta methods.
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| 13. | All collocation methods are implicit Runge Kutta methods, but not all implicit Runge Kutta methods are collocation methods.
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| 14. | All collocation methods are implicit Runge Kutta methods, but not all implicit Runge Kutta methods are collocation methods.
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| 15. | Similar methods can be developed for higher order methods, such as the 4th order Runge-Kutta method.
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| 16. | I would like to model the evolution of \ cos \ theta, using the runge-kutta method.
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| 17. | The core of the simulation package is a variable step numerical integrator of fourth-order Runge-Kutta method.
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| 18. | A standard fourth-order Runge Kutta method is used for numerical integration of the ion trajectory in three dimensions.
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| 19. | Examples are Simpson's rule, the Runge Kutta method, and the Numerov algorithm for the Schr�dinger equation.
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| 20. | Explicit Runge Kutta methods have a strictly lower triangular coefficient matrix A and thus, their stability function is a polynomial.
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