On conservative, positivity preserving, nonlinear FV scheme on distorted meshes for the multi-term nonlocal Nagumo-type equations

An Active Pulse Transmission Line Simulating Nerve Axon

J. Nagumo, S. Arimoto, S. Yoshizawa · Proceedings of the IRE · 1962 · 4.2K citations

Engineering, Bioengineering, Electrical Engineering +15

Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation

Qiang Du, Lili Ju, Xiao Li et al. · SIAM Journal on Numerical Analysis · 2019 · 280 citations

Natural Sciences, Mathematics, Physics +17

Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes

Qiang Du, Lili Ju, Xiao Li et al. · SIAM Review · 2021 · 259 citations · Full text

Natural Sciences, Mathematics, Differential Equations +13

A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations

Hong-lin Liao, Tao Tang · Journal of Computational Physics · 2020 · 155 citations · Full text

Natural Sciences, Mathematics, Physics +12

On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations

SIAM Journal on Scientific Computing · 2019 · 152 citations · Full text

Natural Sciences, Physics, Computational Physics +13