Main Page

Welcome to the MOR Wiki

Tweets by mor_wiki

The purpose of the Model-Order-Reduction-Wiki is to bring together experts in the area of model reduction, as well as researchers from application areas in an attempt to provide a platform for exchanging ideas and examples.

Modeling and numerical simulation are unavoidable in many application and research areas, e.g. reaction processes, micro-electro-mechanical systems (MEMS) design, and control design. The processes or devices can be modeled by partial differential equations (PDEs). To simulate such models, spatial discretization via e.g. finite element discretization is necessary, which results in a system of ordinary differential equations (ODEs), or differential algebraic equations (DAEs).

After spatial discretization, the number of degrees of freedom (DoFs) is usually very high. It is therefore very time consuming to simulate such large-scale systems of ODEs or DAEs. Developed from well-established mathematical theories and robust numerical algorithms, Model Order Reduction (MOR) or Model Reduction (see Projection based MOR for the basic idea) has been recognized as very efficient for reducing the simulation time of large-scale systems. Through model order reduction, a small system with reduced number of equations (reduced model) is derived. The reduced model is simulated instead, and the solution of the original PDEs or ODEs can then be recovered from the solution of the reduced model. As a result, the simulation time of the original large-scale system can be shortened by several orders of magnitude. The reduced model as a whole can also replace the original system and be reused repeatedly during the design process, which can further save much time.

Parametric model order reduction (PMOR) methods are designed for model order reduction of parametrized systems, where the parameters of the system play an important role in practical applications such as Integrated Circuit (IC) design, MEMS design, and chemical engineering. The parameters could be the variables describing geometrical measurements, material properties, the damping of the system or the component flow-rate. The reduced models are constructed such that all the parameters can be preserved with acceptable accuracy.

The MOR Wiki is divided in pages providing benchmarks of parametric or non-parametric models and pages explaining applicable (P)MOR methods as well as available software implementations.

Following the submission rules, one can also submit new benchmarks, method or software pages.

Consult the User's Guide for information on using Wiki software and the utilized Wiki markup language.

Find current model reduction conferences, workshops and minisymposia, a list of books and lectures on model reduction and links to the model reduction community.

A BibTeX file which contains a list of references related to model order reduction can be found and downloaded here: mor.bib.

List of all Categories in the Wiki

Special:Categories

▼ Benchmark ► CRC-TR-96 ► Differential algebraic system ► First differential order ► MIMO ► Nonzero initial condition ► Oberwolfach ► Parametric ► Procedural ► Second differential order ► SISO ► SLICOT ► Time invariant ► Time varying   ALBERTA Rail 371   All pass system   Anemometer   Artificial Fishtail   Batch Chromatography   Battery pack   Bone Model   Branchline Coupler   Building Model   Butterfly Gyroscope   CD Player   Circular Piston   Clamped Beam   Convection Reaction   Convection-Diffusion   Convective Thermal Flow   Coplanar Waveguide   Earth Atmosphere   Electrostatic Beam   Feed axis   FEniCS Rail   FitzHugh-Nagumo System   Flexible Aircraft   Flexible Space Structures   Fluid Flow Linearized Open Cavity Model   Gas Sensor   Heat Equation   Hydro-Electric Open Channel   International Space Station   Inverse Lyapunov Procedure   Linear 1D Beam   Linear Advection   Low-Pass Butterworth Filter   Machine tool MAX   Machine tool with relative movements   Mass-Spring-Damper   MAX stand   Micropyros Thruster   MiniHex   Models   Modified Gyroscope   Modified Nodal Analysis   Nonlinear Heat Transfer   Nonlinear RC Ladder   Orr-Sommerfeld   PEEC Model (SLICOT)   Peek Inductor   Penzl's FOM   Plate with tuned vibration absorbers   Porous absorber   Power system examples   Random   Randomly Generated   RCL Circuit Equations   Scanning Electrochemical Microscopy   Silicon Nitride Membrane   Simplified machine tool   Sound transmission through a plate   Steel Profile   Stokes equation   Supersonic Engine Inlet   Synthetic parametric model   Thermal Block   Thermal Model   Transmission Lines   Transmission Lines (SLICOT)   Tunable Optical Filter   Vertical Stand   Windscreen

▼ Method   Balanced Truncation   Bilinear PMOR method   Dominant Subspaces   Hankel-Norm Approximation   Iterative Rational Krylov Algorithm   Krylov subspace MOR methods   Loewner Framework   Modal truncation   Moment-matching method   Moment-matching PMOR method   Padé approximation methods   Piecewise H2 Tangential Interpolation   Projection based MOR   Reduced Basis PMOR method   Transfer Function Interpolation

▼ Software   Comparison of Software   DPA   Emgr   EZyRB   Further Software   ITHACA-FV   ITHACA-SEM   MESS   MOR Toolbox   MOREMBS   MORLAB   MORPACK   PyDMD   PyMOR   RBmatlab   RBniCS   SssMOR

▼ Miscellaneous   MOR Wiki:About   MOR Wiki:Community portal   MOR Wiki:Current events   Publications   Selected Introductory Works   Thanks