2 papers
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
A new class of energy dissipative, mass conserving and positivity/bound-preserving schemes for Keller-Segel equations
Zexiong Fang, Qing Cheng
In this paper, we improve the original Lagrange multiplier approach \cite{ChSh22,ChSh_II22} and introduce a new energy correction approach to construct a class of robust, positivit…