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math.NA2025
Arbitrary High-Order Maximum Principle-Preserving and Energy Dissipating Schemes for Gradient Flows
Qing Cheng, Tingfeng Wang, Xiaofei Zhao
For gradient flows, the existing structure-preserving schemes are difficult to achieve arbitrary high-order accuracy in time while preserving maximum-principle (MBP) and energy dis…
math.NA2024
Improved scalar auxiliary variable schemes for original energy stability of gradient flows
RUi Chen, Tingfeng Wang, Xiaofei Zhao
Scalar auxiliary variable (SAV) methods are a class of linear schemes for solving gradient flows that are known for the stability of a `modified' energy. In this paper, we propose…