PoCET: a Polynomial Chaos Expansion Toolbox for Matlab

GpoSolver: a Matlab/C++ toolbox for global polynomial optimization

Abstract Global polynomial optimization can be a powerful tool when applied to engineering problems. One of the most successful methods for solving such problems is based on convex linear matrix inequality (LMI) relaxations. Software implementations of this approach can be found for example in MATLAB toolboxes GloptiPoly and YALMIP. MATLAB language makes it very easy when it comes to modeling p...

MATLAB toolbox for functional connectivity

The term "functional connectivity" is used to denote correlations in activation among spatially-distinct brain regions, either in a resting state or when processing external stimuli. Functional connectivity has been extensively evaluated with several functional neuroimaging methods, particularly PET and fMRI. Yet these relationships have been quantified using very different measures and the ext...

EDT: ElastoDynamics Toolbox for MATLAB

Global Sensitivity Analysis for multivariate output using Polynomial Chaos Expansion

Many mathematical and computational models used in engineering produce multivariate output that shows some degree of correlation. However, conventional approaches to Global Sensitivity Analysis (GSA) assume that the output variable is scalar. These approaches are applied on each output variable leading to a large number of sensitivity indices that shows a high degree of redundancy making the in...

A Periodic Systems Toolbox for Matlab

The recently developed PERIODIC SYSTEMS Toolbox for MATLAB is described. The basic approach to develop this toolbox was to exploit the powerful object manipulation features of MATLAB via flexible and functionally rich high level m-functions, while simultaneously enforcing highly efficient and numerically sound computations via the mex-function technology of MATLAB to solve critical numerical pr...