MATHEMATICAL ENGINEERING TECHNICAL REPORTS Invariants Preserving Schemes Based on Explicit Runge–Kutta Methods
نویسندگان
چکیده
Numerical integration of ordinary differential equations with some invariants is considered. For such a purpose, certain projection methods have proved its high accuracy and efficiency, but sometimes they can exhibit instability. In this paper, a new, highly efficient projection method is proposed based on explicit Runge–Kutta methods. The key there is to employ the idea of the perturbed collocation method, which gives a unified way to incorporate scheme parameters. Numerical experiments confirm the stability of the proposed method.
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