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math.NA2015
A-stable time discretizations preserve maximal parabolic regularity
Balázs Kovács, Buyang Li, Christian Lubich
It is shown that for a parabolic problem with maximal -regularity (for ), the time discretization by a linear multistep method or Runge--Kutta method has maximal $…
math.NA2015
Numerical analysis of parabolic problems with dynamic boundary conditions
Balázs Kovács, Christian Lubich
Space and time discretizations of parabolic differential equations with dynamic boundary conditions are studied in a weak formulation that fits into the standard abstract formulati…