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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
Abstract:
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.
Keywords:
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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