数学 标量（数学） 耗散系统 二次方程 平衡流 应用数学 变量（数学） 放松（心理学） 数学优化 流量（数学） 算法 数学分析 几何学 量子力学 心理学 社会心理学 物理
作者
Zhengguang Liu,Qing He
出处
期刊：Applied Mathematics Letters [Elsevier]
日期：2023-07-01 卷期号：141: 108613-108613 被引量：1
摘要
In this paper, we propose a novel relaxed scalar auxiliary variable (nRSAV) approach to solve a series of gradient flow problems. The proposed nRSAV approach inherits all the advantages of the traditional SAV and RSAV method. Meanwhile, it preserves a quite close original energy dissipative law and provides an improved accuracy than the baseline SAV method. Besides, compared with the RSAV approach, we do not need to solve a quadratic equation with one unknown to obtain the relaxation. All the semi-discrete schemes are proved to be unconditionally energy stable. Several numerical examples are provided to demonstrate the improved efficiency and accuracy of the proposed method.
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