102 citations · 190 across the 17 of their papers we have counts for
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Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations
Lili Ju, Xiao Li, Zhonghua Qiao +1
A large class of semilinear parabolic equations satisfy the maximum bound principle (MBP) in the sense that the time-dependent solution preserves for any time a uniform pointwise b…
Arbitrarily high-order exponential cut-off methods for preserving maximum principle of parabolic equations
Buyang Li, Jiang Yang, Zhi Zhou
A new class of high-order maximum principle preserving numerical methods is proposed for solving parabolic equations, with application to the semilinear Allen--Cahn equation. The p…
Numerical Energy Dissipation for Time-Fractional Phase-Field Equations
Chaoyu Quan, Tao Tang, Jiang Yang
The numerical integration of phase-field equations is a delicate task which needs to recover at the discrete level intrinsic properties of the solution such as energy dissipation a…
A level set representation method for N-dimensional convex shape and applications
Lingfeng li, Shousheng Luo, Xue-Cheng Tai +1
In this work, we present a new efficient method for convex shape representation, which is regardless of the dimension of the concerned objects, using level-set approaches. Convexit…