Computationally Efficient Nonlinear One- and Two-Track Models for Multitrailer Road Vehicles

A computationally efficient method for nonlinear multicommodity network flow problems

In this paper, we present a new method for solving nonlinear multicommodity network flow problems with convex objective functions. This method combines a well-known projected Jacobi method and a new dual projected pseudo-quasi-Newton (DPPQN) method which solves multicommodity flow quadratic subproblems induced in the projected Jacobi method. The DPPQN method is a dual Newtontype method that dif...

Computationally Efficient, Approximate Moving Horizon State Estimation for Nonlinear Systems

Moving horizon estimation for discrete-time nonlinear systems is addressed by using fast optimization algorithms for which stability results under general conditions are ensured. The solution of the on-line moving horizon estimation problem is obtained by using the sampling time to solve a reference problem with model-predicted measurements while waiting for the next measurement. In order to co...

Computationally Efficient Technique for Nonlinear Poisson-Boltzmann Equation

Discretization of non-linear Poisson-Boltzmann Equation equations results in a system of non-linear equations with symmetric Jacobian. The Newton algorithm is the most useful tool for solving non-linear equations. It consists of solving a series of linear system of equations (Jacobian system). In this article, we adaptively define the tolerance of the Jacobian systems. Numerical experiment show...

Computationally efficient, one-pass algorithm for morphological filters

Many useful morphological filters are built as long concatenations of erosions and dilations: openings, closings, size distributions, sequential filters, etc. This paper proposes a new algorithm implementing morphological dilation and erosion of functions. It supports rectangular structuring element, runs in linear time w.r.t. the image size and constant time w.r.t. the structuring element size...

Acceleration Profile Models for Vehicles in Road Traffic