Stability and convergence of Strang splitting. Part I: scalar Allen-Cahn equation
We consider a class of second-order Strang splitting methods for Allen-Cahn equations with
polynomial or logarithmic nonlinearities. For the polynomial case both the linear and the …
polynomial or logarithmic nonlinearities. For the polynomial case both the linear and the …
Stability and convergence of Strang splitting. Part II: tensorial Allen-Cahn equations
We consider the second-order in time Strang-splitting approximation for tensorial (eg vector-
valued and matrix-valued) Allen-Cahn equations. Both the linear propagator and the …
valued and matrix-valued) Allen-Cahn equations. Both the linear propagator and the …
[PDF][PDF] Energy dissipation of Strang splitting for Allen–Cahn
We consider a class of second-order Strang splitting methods for Allen-Cahn equations with
polynomial or logarithmic nonlinearities. For the polynomial case both the linear and the …
polynomial or logarithmic nonlinearities. For the polynomial case both the linear and the …
[PDF][PDF] ENERGY STABILITY OF STRANG SPLITTING FOR VECTOR-VALUED AND MATRIX-VALUED ALLEN-CAHN EQUATIONS
We consider the second-order in time Strang-splitting approximation for vectorvalued and
matrix-valued Allen-Cahn equations. Both the linear propagator and the nonlinear …
matrix-valued Allen-Cahn equations. Both the linear propagator and the nonlinear …