RKN1210 - A 12th/10th order Runge-Kutta-Nystrom integrator 1.0

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RKN1210 12th/10th order Runge-Kutta-Nystrom integratorRKN1210() is a 12th/10th order numerical integrator for ordinary differential equations of the form y'' = f(t, y) (1)with initial conditions y(t0) = y0, y'(t0) = yp0 (2)This second-order differential equation is integrated with aRunge-Kutta-Nystrom method, with 17 function evaluations per step. The RKN-class of integrators is especially suited for this purpose, since compared to a classic Runge-Kutta integration scheme the same accuracy can be obtained with less function evaluations.This RKN12(10) method is a very high-order method, to be used in problems with *extremely* stringent error tolerances. In verious studies, it has been shown that this particular integration technique is overall more efficient for ODE's of the form (1) than multi-step or extrapolation methods that give the same accuracy.RKN1210's behavior is very similar MATLAB's ODE-integrator suite; you can set options via ODESET, and input and output values are also practically the same.Both output functions and event functions are fully supported.The construction of RKN12(10) is described inHigh-Order Embedded Runge-Kutta-Nystrom FormulaeJ. R. DORMAND, M. E. A. EL-MIKKAWY, AND P. J. PRINCEIMA Journal of Numerical Analysis (1987) 7, 423-430Coefficients obtained fromhttp://www.tampa.phys.ucl.ac.uk/rmat/test/rknint.fThese are also available in any format on request to these authors.

Requirements: No special requirements

Platforms: Matlab

Keyword: Event, Functions, Input, Odeintegrator, Odeset, Options, Output, Practically, Suite, Values

Users rating: 0/10

License: Shareware

Size: 20.48 KB

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