Energy diminishing implicit-explicit Runge–Kutta methods for gradient flows

Z Fu, T Tang, J Yang - Mathematics of Computation, 2024 - ams.org
This study focuses on the development and analysis of a group of high-order implicit-explicit
(IMEX) Runge–Kutta (RK) methods that are suitable for discretizing gradient flows with …

A posteriori analysis of an IMEX entropy-viscosity formulation for hyperbolic conservation laws with dissipation

JH Chaudhry, JN Shadid, T Wildey - Applied Numerical Mathematics, 2019 - Elsevier
This study considers adjoint based a posteriori estimation of the error in a quantity of interest
computed from numerical solutions based on multistage implicit–explicit (IMEX) time …

[PDF][PDF] Space-time adaptive methods for phase-field models

X Wu - 2017 - research.tue.nl
The phase field method, originally proposed for phase separation in material science, has
rapidly gained popularity in various fields over the years. Owing to its diffuse-interface …