We present a limited memory method for maximum-likelihood-based state estimation of hidden Markov models. We reduce the memory storage requirements by expressing the optimal states as a function of checkpoints bounding a shooting interval. All states can then be recomputed as needed from a recursion stemming from the optimality conditions. The matching of states at checkpoints are imposed, in a...

Geometrically nonlinear forced vibrations of three dimensional structures, due to harmonic excitations, are investigated in the frequency domain. Structures of elastic materials are considered and the discretized equation of motion is derived by the finite element method, using Elmer software. The shooting and the continuation methods are applied to the resulting large scale FEM system by using...

the main purpose of this paper is to introduce a boundary layer analysis for the fluid flow andheat transfer characteristics of an incompressible nanofluid flowing over a permeable isothermalsurface moving continuously. the resulting system of non-linear ordinary differential equations issolved numerically using the fifth–order runge–kutta method with shooting techniques usingmatlab and maple s...

We present here an alternative method for calculating magnifications in gravitational lensing calculations – the Ray Bundle method. We provide a detailed comparison between the distribution of magnifications obtained compared with analytic results and conventional ray-shooting methods. The Ray Bundle method provides high accuracy in the weak lensing limit, and is computationally much faster tha...

We describe a robust shooting algorithm to model backward-pumped Raman amplifiers. This algorithm uses a continuation method and a Jacobi weight in conjunction with the shooting algorithm. We compare this algorithm to the commonly used relaxation algorithm. We find that the shooting algorithm is more flexible, in that it can be applied to amplifiers in which one fixes the gain, in contrast to t...

Estimating the parameters of a dynamical system based on measurement data is an important but complex task in industrial and scientific practice (Schittkowski, 2002). Due to its importance, different approaches to solve this kind of problem have been developed. The most established ones are single shooting (Bard, 1974), multiple shooting (Bock, 1983) and full discretization techniques (Biegler,...

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...