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KIAM Preprint ╣ 51, Moscow, 2018
Authors: Galanin M. P., Konev S. A.
Development of exponential integrator based on classical RungeŚKutta method and it's application for solving stiff systems
The paper deals with numerical method for solving stiff systems of ordinary differential equations. The new method RK4exp is derived on the base of classical four-stage RungeŚKutta method. The convergence of RK4exp is proved and it's stability function is calculated. Theoretical results are verified with numerical experiments.
ordinary differential equations, numerical methods, exponential integrators, RungeŚKutta methods
Publication language: russian,  ˝˛­ÓÝŔ÷: 24
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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