A Proposal of a Mathematical Roadmap for Scilab DRAFT - Projects

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7.2 Why it fits in Scilab scopeDOEs would particularly fit in the Scilab environment because of the followingreasons.• The Response Surface Method (RSM) allows to approximate a model basedon a polynomial meta-model. The points used to compute the coefficients ofthe meta-model are produced by the DOE. The computation of the coefficientsof the polynomials are based on linear algebra algorithms, in particular leastsquares, which already exist in Scilab.• Once created, the user can optimize the meta-model with the optimizationfeatures provided by Scilab.7.3 Existing features in MatlabThe ff2n function provides a two-level full factorial design :ff2nwhile the fullfact function provides the same for an arbitrary number of levels :fullfactThe bbdesign function provides a Box-Behnken design :bbdesignThe ccdesign function provides a Central Composite design :ccdesignThe lhsdesign provides a Latin Hypercube sampling design :lhsdesign8 Geometry8.1 FeaturesTODO : finish this section8.2 Suggested libraries to connect to ScilabTODO : finish this section8.3 Existing features in MatlabTODO : finish this section8.4 Existing tools which may require an updateThat work may be done by providing a connection to existing geometry libraries,such as the open source project CGAL :http://www.cgal.org/The CGLAB toolbox is available at :Contribution 32318
8.5 Why it fits in Scilab scope9 Partial Differential EquationsPDEs appears in the following mathematical fields :• conservation laws,• finite volumes,• finite elements.There is currently no Scilab component to solve PDEs. Introducing PDE solversmay require the following software components :• 1/2/3D meshes,• dense or sparse linear algebra solvers (allready available in Scilab),• PDE solvers.9.1 Why it fits in Scilab scopeTODO : finish this section9.2 Existing features in MatlabTODO : finish this section9.3 Suggested library to connectSummary :• FreeFem : may be included in Scilab (LGPL)• Clawpack : may not be included in Scilab ( research-only license), but may beprovided as a Scilab toolboxFreeFem is a Finite Element library in C++ under LGPL : http://www.freefem.org/ff++/index.htmFreeFem is developped at Laboratoire Jacques-Louis Lions by highly recognizedexperts Olivier Pironneau, Frédéric Hecht, Antoine Le Hyaric.FreeFemis about tobe released with a support for 3d problems. The 3.0beta can be downloaded athttp://www.freefem.org/ff++/ftp/.FreeFem is available as a Scilab toolbox : Contribution 149The toolboox SciFreefem by Frederic Hecht (modified by Yann Collette) is available: Contribution 883CLAWPACK is a software package designed to compute numerical solutionsto hyperbolic partial differential equations using a wave propagation approach. Itis developed by Randall J. LeVeque, Jan Olav Langseth, Marsha Berger, David19
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A Proposal of a Mathematical Roadmap for Scilab DRAFT - Projects

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