The IMTEK Mathematica Supplement (IMS for short) is an open source

Open source

The term open source describes practices in production and development that promote access to the end product's source materials. Some consider open source a philosophy, others consider it a pragmatic methodology...

 Mathematica

Mathematica

Mathematica is a computational software program used in scientific, engineering, and mathematical fields and other areas of technical computing...

 AddOn that aims to provide a wealth of tutorials and packages for Scientific and Engineering purposes, mainly focused on finite element simulations but going far beyond. It is developed at the Chair for Microsystem Simulation at the Institut für Mikrosystemtechnik (IMTEK), Albert Ludwigs University of Freiburg, Germany.

The three aims of IMS-development are

• to provide useful Mathematica computation, visualization and simulation packages (along with complete documentation)
• to provide easy-to-use, hands-on tutorials for University teaching purposes
• to extend and facilitate Mathematica's capabilities to import and export data formats with interface packages (e.g. to ANSYS)

The covered areas of the IMS are

• Computational Geometry
  • Meshing (Voronoi, Delaunay
    Delaunay triangulation
    In mathematics and computational geometry, a Delaunay triangulation for a set P of points in a plane is a triangulation DT such that no point in P is inside the circumcircle of any triangle in DT. Delaunay triangulations maximize the minimum angle of all the angles of the triangles in the...
    
    , triangle, tetrahedron, polygon)
  • Graphs
  • Electric Circuits (including full transient, DC and AC analysis)
  • Process Emulation of typical microstructuring
    Microelectromechanical systems
    Microelectromechanical systems is the technology of very small mechanical devices driven by electricity; it merges at the nano-scale into nanoelectromechanical systems and nanotechnology...
    
     steps
• Data Structures
• Differential Equation Systems
  • Partial Differential Equations
  • Nonlinear
    Nonlinearity
    In mathematics, a nonlinear system is one that does not satisfy the superposition principle, or one whose output is not directly proportional to its input; a linear system fulfills these conditions. In other words, a nonlinear system is any problem where the variable to be solved for cannot be...
    
     Partial Differential Equations
  • Coupled Partial Differential Equations
  • Discretization
    Discretization
    In mathematics, discretization concerns the process of transferring continuous models and equations into discrete counterparts. This process is usually carried out as a first step toward making them suitable for numerical evaluation and implementation on digital computers...
    
     with different methods
  • Model Order Reduction
  • Solving
• Game Theory
  Game theory
  Game theory is a mathematical method for analyzing calculated circumstances, such as in games, where a person’s success is based upon the choices of others...
  
  

with accompanying utilities, lectures and tips for a thorough understanding of the theoretical background and the used techniques.

External links

• IMTEK Mathematica Supplement (IMS), download the Open Source IMTEK Mathematica Supplement (IMS)
• EasyMesh, a 2-D mesh generator
• IMTEK

• Wolfram Research
• Mathematica (Wolfram Research)
• Wiki-Mathematica, a Mathematica-users wiki
• MASH, a UNIX-scripting interface to Mathematica