【摘要】 文章给出一类求解无阻尼Landau-Lifshitz方程的Runge-Kutta/Munthe-Kaas方法,属于李群方法,它能保证所得的数值解在系统精确解所在的微分流形上迭代.并讨论了该方法能保持离散系统的二次守恒量.更多还原

【Abstract】 A kind of Runge-Kutta/Munthe-Kaas(RKMK) method being a Lie group method is presented to solve the non-damping Landau-Lifshitz equation.The numerical results can propagate on the differentiable manifold of the true solution of the system.Here it is emphasized that the method can preserve the property of square conservation of the discretized system.Moreover,the method can be applied to other similar partial differential equations.更多还原