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・ Dynamic Structures
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Dynamic errors of numerical methods of ODE discretization
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Dynamic errors of numerical methods of ODE discretization : ウィキペディア英語版
Dynamic errors of numerical methods of ODE discretization
The dynamical characteristic of the numerical method of ordinary differential equations (ODE) discretization – is the natural logarithm of its function of stability \textbf=\ln\rho(h\lambda). Dynamic characteristic is considered in three forms:
: \textbf – Complex dynamic characteristic;
: \textbf_ – Real dynamic characteristics;
: \textbf_ – Imaginary dynamic characteristics.
The dynamic characteristic represents the transformation operator of eigenvalues of a Jacobian matrix of the initial differential mathematical model (MM) in eigenvalues of a Jacobian matrix of mathematical model (also differential) whose exact solution passes through the discrete sequence of points of the initial MM solution received by given numerical method.
==See also==

*Euler's method
*Runge–Kutta methods
*Runge–Kutta method (SDE)
*List of Runge–Kutta methods

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