Share This Author
On mathematical modeling of dermal and transdermal drug delivery.
- R. Manitz, W. Lucht, K. Strehmel, R. Weiner, R. Neubert
- BiologyJournal of pharmaceutical sciences
- 1 July 1998
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.
B-convergence results for linearly implicit one step methods
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…
A general class of explicit pseudo two-step RKN methods on parallel computers
Discretization based indices for semilinear partial differential algebraic equations
Indexes and Special Discretization Methods for Linear partial Differential Algebraic Equations
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…
Partitioning strategies in Runge-Kutta type methods
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.
On error behaviour of partitioned linearly implicit runge-kutta methods for stiff and differential algebraic systems
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.…
Hairer, E.; Norsett, S. P.; Wanner, G., Solving Ordinary Differential Equations. I: Nonstiff Problems. Berlin etc., Springer-Verlag 1987. XIV, 480 pp., 105 figs., DM 124,—. ISBN 3-540-17145-2…
- K. Strehmel
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…
On the numerical integration of second-order initial value problems with a periodic forcing function
- P. Houwen, B. Sommeijer, K. Strehmel, R. Weiner
- Computer Science, MathematicsComputing
- 1 December 1986
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.