WIAS Software

ALEA is a free python library for research in Uncertainty Quantification (UQ). Its focus is on functional spectral approximations on the basis of polynomial chaos and on the treatment of high-dimensional discretisations. For this, methods for low-rank approximations based on hierarchical tensors are incorporated.

aws is a contributed package within the R-Project for Statistical Computing that contains a reference implementation of the adaptive weights smoothing algorithms for local constant likelihood and local polynomial regression models. Binaries for several operating systems are available from the Comprehensive R Archive Network.

This software is used for simulations of the nonlinear dynamics in high-power edge-emitting (B)road-(A)rea semiconductor (Laser)s. It integrates numerically the dynamic traveling wave model defined in two spatial dimensions. When needed, it allows accounting for inhomogeneous current-spreading and heat-flow defined in all three spatial dimensions. It also executes different data post-processing routines and visualizes the obtained data.

ddfermi is a software prototype which simulates drift diffusion processes in classical and organic semiconductors. It uses a finite volume discretization of the basic semiconductor equations as well as thermodynamically consistent, state-of-the-art flux approximations.

Based on coupled generalized finite/boundary elements and gradient type optimization methods this program package provides simulation and optimization of periodic diffractive structures with multilayer stacks.

At WIAS a number of R-packages for image processing are developed focussing on structural adaptive smoothing methods. Applications range from digital color images via functional magnetic resonance imaging to diffusion weighted and quantitative magnetic resonance imaging.

This software is used to investigate and design multi-section lasers, lasers with optical feedback, and coupled laser devices that exhibit various nonlinear dynamical effects such as pulsations, chaos, hysteresis, optical mode switching, excitability, mutual synchronization, and frequency locking by an external modulated optical or electrical signal.

ParMooN solves equations from Computational Fluid Mechanics, as convection-diffusion equations, incompressible Navier-Stokes equations and systems consisting of these types of equations, on the basis of finite element discretizations and implicit time stepping schemes.

The toolbox pdelib has been developed for solving partial differential equations in one, two and three dimensions. It includes a grid generator, iterative and direct solvers for systems of equations, an online graphics package and interfaces to packages of other institutes and companies.

TetGen is a program for generating tetrahedral meshes from three-dimensional domains. One of its main applications is to generate suitable meshes for numerically solving PDEs by finite element and finite volume methods. TetGen uses Delaunay-based algorithms which have theoretical guarantees on mesh quality and mesh size.