Minimum lap time simulations are especially important in the design, optimisation and setup
of race vehicles. Such problems usually come in different flavours, eg quasi-steady state …

The parallel solution of initial value problems for ordinary differential equations (ODE-IVPs)
has received much interest from many researchers in the past years. In general, the …

We introduce new methods for the numerical solution of general Hamiltonian boundary
value problems. The main feature of the new formulae is to produce numerical solutions …

The solution of linear systems is a crucial and indispensable technique in the field of
numerical analysis. Among linear system solvers, the cyclic reduction algorithm stands out …

We analyze the solution of the BABD linear system Ax= f(1) with the coefficient matrix A
having the structure shown in Figure 1. This is the most general BABD matrix structure: we …

This paper presents an algorithm for the indirect solution of optimal control problems that
contain mixed state and control variable inequality constraints. The necessary conditions for …

We consider linear systems with coefficient matrices of Bordered ABD structure. They arise
in the discretization of BVPs for ordinary and partial differential equations with non …

The solution of a linear system is a basic tool in numerical analysis. In this work, an efficient
cyclic reduction variant for a bordered almost diagonal linear system is presented. The …

In this paper, we present PARASOF, an algorithm for the solution of linear systems with
BABD matrices on massively parallel computing systems like graphic processing units or …

We analyze the solution of Bordered Almost Block Diagonal linear systems using new
algorithms which are introduced and described in detail. All these algorithms use a cyclic …