We consider preconditioned iterative methods for numerical solution of the convective FitzHugh–Nagumo equations. By eliminating the symmetric indefinite matrix derived from the single nonlinear term of the convective FitzHugh–Nagumo equations, a preconditioner that is robust with respect to the involved model parameters is proposed to solve the arising discretized linear system. Spectral properties of the corresponding preconditioned system are analyzed. Numerical experiments are presented to illustrate the effectiveness of the proposed preconditioner.

中文翻译：

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对流FitzHugh–Nagumo方程的预处理迭代方法

我们考虑对流FitzHugh-Nagumo方程数值解的预处理迭代方法。通过消除从对流FitzHugh–Nagumo方程的单个非线性项导出的对称不定矩阵，提出了一种对所涉及模型参数具有鲁棒性的预处理器，以解决由此产生的离散线性系统。分析了相应预处理系统的光谱特性。数值实验表明了所提出的预处理器的有效性。