The difficulties with the simple shooting method for the solution of ordinary differential boundary value problems are well known, and there have been many suggested modifications to overcome them. Notable among them are the discrete orthonormalization process of Godunov and Conte (1966), the multiple shooting method (Keller(1968) and Osborne(1969)) and the Riccati transformation method (Scott(...

B Abstract. Recently, in a paper of Chylla and Haase 2], a model of a multi-product semibatch polymerization reactor has been developed which is representative of those found in the speciality chemical processing industry. One of the aims in these processes is to keep a certain reaction temperature setpoint, in order to t the quality requirements for the polymer. In the present paper, the optim...

The Ebola virus is currently one of the most virulent pathogens for humans. The latest major outbreak occurred in Guinea, Sierra Leone and Liberia in 2014. With the aim of understanding the spread of infection in the affected countries, it is crucial to modelize the virus and simulate it. In this paper, we begin by studying a simple mathematical model that describes the 2014 Ebola outbreak in L...

We discuss the indirect multiple shooting approach for the solution of PDE-based parabolic optimal control problems with control constraints. The method is formulated within an abstract function space setting and uses a space-time Galerkin finite element discretization. The emphasis is on the embedding of indirect multiple shooting into the optimal control framework as well as the detailed desc...

This paper presents a Lie-group shooting method for the numerical solutions of multi-dimensional nonlinear boundary-value problems, which may exhibit multiple solutions. The Lie-group shooting method is a powerful technique to search unknown initial conditions through a single parameter, which is determined by matching the multiple targets through a minimum of an appropriately defined measure o...

We consider nonlinear boundary value problems with multiple solutions. A method is proposed for the computation of such solutions which depends crucially on known a priori qualitative information about the behavior of the solutions. The method is a two-stage method where the second stage is a shooting method and initial values of the shooting parameters are found in a first stage which approxim...

B Abstract. The present paper is an introductory and survey paper of the treatment of realistically modelled optimal control problems from applications in the aerospace eld. Especially those problems are considered which include diierent types of constraints. In the tutorial part of the paper, recipes are given for the treatment of optimal control problems for which, among other constraints, co...

The present paper is an introductory and survey paper of the treatment of realistically modelled optimal control problems from applications in the aerospace eld. Especially those problems are considered which include diierent types of constraints. In the tutorial part of the paper, recipes are given for the treatment of optimal control problems for which, among other constraints, control and/or...

Large interconnected systems consist of a multitude of subsystems with their own dynamics, but coupled with each other via input-output connections. Each subsystem is typically modelled by ordinary differential equations or differential-algebraic equations. Simulation and optimal control of such systems pose a challenge both with respect to CPU time and memory requirements. We address optimal c...

The stabilized march technique is extended to nonlinear two-point boundary value problems via a new Generalized Brent Method for systems of nonlinear algebraic equations. The resulting algorithms can be used to solve systems of nonlinear rst-order ordinary di erential equations under partially separated nonlinear boundary conditions economically. Numerical results which compare the nonlinear st...