Three‐Stage Two‐Parameter Symplectic, Symmetric Exponentially‐Fitted Runge‐Kutta Methods of Gauss Type
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We construct an exponentially‐fitted variant of the well‐known three stage Runge‐Kutta method of Gauss‐type. The new method is symmetric and symplectic by construction and it contains two parameters, which can be tuned to the problem at hand. Some numerical experiments are given.
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