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A MATLAB toolbox is presented, with the goal of checking occurrences of design errors typically found in fixed-point digital systems, considering finite word-length effects. In particular, the present toolbox works as a front-end to a…

Systems and Control · Computer Science 2017-02-21 Lennon Chaves , Iury Bessa , Lucas Cordeiro , Daniel Kroening , Eddie Filho

The `equation-free toolbox' empowers the computer-assisted analysis of complex, multiscale systems. Its aim is to enable you to immediately use microscopic simulators to perform macro-scale system level tasks and analysis, because…

Mathematical Software · Computer Science 2020-04-08 John Maclean , J. E. Bunder , A. J. Roberts

Background: Model-based analysis of movements can help better understand human motor control. Here, the models represent the human body as an articulated multi-body system that reflects the characteristics of the human being studied.…

Robotics · Computer Science 2018-07-16 Manish Sreenivasa , Monika Harant

Modern programmable digital signal processing relies on floating-point numbers for their ease of use. Fixed-point number formats have the potential to save resources and improve execution time, but realising this potential burdens the…

Programming Languages · Computer Science 2024-03-12 Agathe Herrou , Florent de Dinechin , Stéphane Letz , Yann Orlarey , Anastasia Volkova

In this article we test the accuracy of three platforms used in computational modelling: MatLab, Octave and Scilab, running on i386 architecture and three operating systems (Windows, Ubuntu and Mac OS). We submitted them to numerical tests…

Mathematical Software · Computer Science 2012-07-10 Eliana S. de Almeida , Antonio C. Medeiros , Alejandro C. Frery

This paper presents a new Matlab toolbox, aimed at facilitating the use of polynomial optimization for stability analysis of nonlinear systems. In the past decade several decisive contributions made it possible to recast this type of…

Optimization and Control · Mathematics 2024-04-03 Stéphane Drobot , Matteo Tacchi , Carmen Cardozo , Colin N. Jones

This is the first in a series of papers on implementing a discontinuous Galerkin method as a MATLAB / GNU Octave toolbox. The main goal is the development of techniques that deliver optimized computational performance combined with a…

Numerical Analysis · Mathematics 2018-06-12 Florian Frank , Balthasar Reuter , Vadym Aizinger , Peter Knabner

This paper suggests integrating one-dimensional optimization methods to tackle diverse problems, emphasizing their significance in resolving practical issues and applying mathematical principles to real-world contexts. It focuses on…

Optimization and Control · Mathematics 2024-06-19 Erick Clapton de Lima Silva , Francisco Márcio Barboza

This is the second in a series of papers on implementing a discontinuous Galerkin (DG) method as an open source Matlab / GNU Octave toolbox. The intention of this ongoing project is to offer a rapid prototyping package for application…

Numerical Analysis · Mathematics 2018-06-12 Balthasar Reuter , Vadym Aizinger , Manuel Wieland , Florian Frank , Peter Knabner

Nowadays, this is very popular to use the deep architectures in machine learning. Deep Belief Networks (DBNs) are deep architectures that use stack of Restricted Boltzmann Machines (RBM) to create a powerful generative model using training…

Computer Vision and Pattern Recognition · Computer Science 2016-01-07 Mohammad Ali Keyvanrad , Mohammad Mehdi Homayounpour

In this paper we introduce MATMPC, an open source software built in MATLAB for nonlinear model predictive control (NMPC). It is designed to facilitate modelling, controller design and simulation for a wide class of NMPC applications. MATMPC…

Systems and Control · Computer Science 2019-09-24 Yutao Chen , Mattia Bruschetta , Enrico Picotti , Alessandro Beghi

This is the fourth installment in our series on implementing the discontinuous Galerkin (DG) method as an open source MATLAB /GNU Octave toolbox. Similarly to its predecessors, this part presents new features for application developers…

Numerical Analysis · Mathematics 2020-05-27 Balthasar Reuter , Andreas Rupp , Vadym Aizinger , Florian Frank , Peter Knabner

State transition algorithm (STA) has been emerging as a novel stochastic method for global optimization in recent few years. To make better understanding of continuous STA, a matlab toolbox for continuous STA has been developed. Firstly,…

Optimization and Control · Mathematics 2016-10-20 Xiaojun Zhou

In "Shive wave machines - Wave propagation, dispersion, reflection, simulation" (arXiv:1503.02088) technical details of Shive wave machines are discussed. Wave propagation on these machines is simulated using the commercial numerical…

Physics Education · Physics 2017-11-03 Tilman Kuepper

The third paper in our series on open source MATLAB / GNU Octave implementation of the discontinuous Galerkin (DG) method(s) focuses on a hybridized formulation. The main aim of this ongoing work is to develop rapid prototyping techniques…

Numerical Analysis · Mathematics 2018-06-12 Alexander Jaust , Balthasar Reuter , Vadym Aizinger , Jochen Schütz , Peter Knabner

\textbf{FlexBox} is a flexible MATLAB toolbox for finite dimensional convex variational problems in image processing and beyond. Such problems often consist of non-differentiable parts and involve linear operators. The toolbox uses a…

Optimization and Control · Mathematics 2016-07-21 Hendrik Dirks

Over the past 30 years, the cell-centred finite volume method has developed to become a viable alternative to the finite element method in the field of computational solid mechanics. The current article presents an open-source toolbox for…

Numerical Analysis · Mathematics 2018-09-05 P. Cardiff , A. Karač , P. De Jaeger , H. Jasak , J. Nagy , A. Ivanković , Ž. Tuković

Matrices with hierarchical low-rank structure, including HODLR and HSS matrices, constitute a versatile tool to develop fast algorithms for addressing large-scale problems. While existing software packages for such matrices often focus on…

Numerical Analysis · Mathematics 2020-01-30 Stefano Massei , Leonardo Robol , Daniel Kressner

We introduce the Control Toolbox (CT), an open-source C++ library for efficient modeling, control, estimation, trajectory optimization and Model Predictive Control. The CT is applicable to a broad class of dynamic systems but features…

Robotics · Computer Science 2018-07-04 Markus Giftthaler , Michael Neunert , Markus Stäuble , Jonas Buchli

In this paper, we present a toolbox for structured model reduction developed for MATLAB. In addition to structured model reduction methods using balanced realizations of the subsystems, we introduce a numerical algorithm for structured…

Optimization and Control · Mathematics 2014-10-20 Martin Biel , Farhad Farokhi , Henrik Sandberg
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