We will present the Newton-Raphson algorithm, and the secant method. A MATLAB function for the Newton-Raphson method. The function.MATLAB has many tools that make this package well suited for numerical computations. The Newton-Raphson method for systems of nonlinear equations.The Newton-Raphson method, or Newton Method, is a powerful technique. Interesting is Section 3, where the birth of the N...

Traditional worst-case execution time (WCET) analysis interfaces to the user either through high-level language source code or assembly/machine code. This paper demonstrates how WCET analysis can be integrated into high-level application design and simulation tools like Matlab/Simulink, thus providing a higher-level interface to WCET analysis. The paper shows necessary restrictions and adaption...

MatLab is an essential tool in high-productivity development of applications that involve much scientific computation. Problems can be presented in a familiar mathematical formalism and the simple yet extensive visualization capabilities support rapid algorithm and model prototyping. Nonetheless, for the sake of efficiency and homogeneity with other parts of the code, it is often necessary to c...

We introduce PeriFast/Corrosion, a MATLAB code that uses the fast convolution-based method (FCBM) for peridynamic (PD) models of corrosion damage. The FCBM convolutional structure PD equations and employs Fast Fourier transform (FFT) to achieve computational complexity $$O(NlogN)$$ . PeriFast/Corrosion has significantly lower memory allocation needs, $$O(N)$$ , compared with, example, meshfree ...

Optical simulation softwares are essential tools for designing and commissioning laser interferometers. This article aims to introduce OSCAR, a Matlab based FFT code, to the experimentalist community. OSCAR (Optical Simulation Containing Ansys Results) is used to simulate the steady state electric fields in optical cavities with realistic mirrors. The main advantage of OSCAR over other similar ...

This package contains a set of routines and functions for Matlab providing the tools to simulate MRI experiments and reconstruct images out of scanner data. Some functions have been written in C++. Most of them have fall-back counterparts written in Matlab language. To make sure that your machine takes advantage of the C++ code, run make.m in Matlab’s command prompt. The package was developed a...

Parallelization and optimization of the MATLAB programming language presents several challenges due to the dynamic nature of MATLAB. Since MATLAB does not have static type declarations, neither the shape and size of arrays, nor the loop bounds are known at compile-time. This means that many standard array dependence tests and associated transformations cannot be applied straight-forwardly. On t...