A model is developed that can predict both the concentration profile and the position of the penetration boundary depending on time and is described on a two-dimensional multilayered domain representing a cross section through human skin.Expand

B-consistency andB-convergence of linearly implicit one step methods with respect to a class of arbitrarily stiff semi-linear problems are considered. Order conditions are derived. An algorithm for… Expand

Linear partial differential algebraic equations (PDAEs) of the form Aut(t, x) + Buxx(t, x) + Cu(t, x) = f(t, x) are studied where at least one of the matrices A, B ∈ Rn×n is singular. For these… Expand

The numerical solution of ode's suffers from stability constraints, if there are solution components with different time constants, and the use of partitioned methods for a given splitting into stiff and nonstiff subsystems is investigated.Expand

This paper studies partitioned linearly implicit Runge-Kutta methods as applied to approximate the smooth solution of a perturbed problem with stepsizes larger than the stiffness parameterε.… Expand

In diesem Kapitel untersuchen wir linear-implizite RK-Methoden. Es werden die bewahrten Klassen der adaptiven RK-Methoden und der Rosenbrock-Typ-Methoden vorgestellt. Im Mittelpunkt der Betrachtungen… Expand

For a family of second-order explicit and linearly implicit Runge-Kutta-Nyström methods it is shown that the forced oscillation is represented with zero phase lag.Expand