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On mathematical modeling of dermal and transdermal drug delivery.

- R. Manitz, W. Lucht, K. Strehmel, R. Weiner, R. Neubert
- Chemistry, Medicine
- Journal of pharmaceutical sciences
- 1 July 1998

TLDR

B-convergence results for linearly implicit one step methods

- K. Strehmel, R. Weiner
- Mathematics
- 1 April 1987

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

A general class of explicit pseudo two-step RKN methods on parallel computers

- N. Cong, K. Strehmel, R. Weiner
- Mathematics
- 1 September 1999

Abstract The aim of this paper is to investigate a general class of explicit pseudo two-step Runge-Kutta-Nystrom methods (RKN methods) of arbitrarily high order for nonstiff problems for systems of… Expand

Discretization based indices for semilinear partial differential algebraic equations

- W. Lucht, K. Strehmel
- Mathematics
- 1 October 1998

Abstract Semilinear partial differential algebraic equations (PDAEs) of the form Au t ( t , x ) + Bu xx ( t , x ) + F ( u ) = f ( t , x ) ( F ( u ) ∈ R n is a nonlinear function of u ∈ R n ), where… Expand

Indexes and Special Discretization Methods for Linear partial Differential Algebraic Equations

- W. Lucht, K. Strehmel, C. Eichler-Liebenow
- Mathematics
- 1 September 1999

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

Partitioning strategies in Runge-Kutta type methods

- R. Weiner, M. Arnold, P. Rentrop, K. Strehmel
- Mathematics
- 1 April 1993

The numerical solution of ode's suffers from stability constraints, if there are solution components with different time constants. Two recommended approaches in software packages to handle these… Expand

On error behaviour of partitioned linearly implicit runge-kutta methods for stiff and differential algebraic systems

- K. Strehmel, R. Weiner, I. Dannehl
- Mathematics
- 1 June 1990

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

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
- Mathematics
- 1988

Linear-implizite Runge-Kutta-Methoden

- K. Strehmel, R. Weiner
- Mathematics
- 1992

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

Order results for Rosenbrock type methods on classes of stiff equations

- K. Strehmel, R. Weiner, M. Buettner
- Mathematics
- 1 December 1991

SummaryIn this paper we give conditions for theB-convergence of Rosenbrock type methods when applied to stiff semi-linear systems. The convergence results are extended to stiff nonlinear systems in… Expand

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