A framework for simulating open quantum dynamics
C++QED is an application-programming framework for simulating open quantum dynamics in general. It has demonstrated the ability to simulate full Master equation of up to several thousand, and quantum trajectories of up to several hundred thousand dimensions. The basic idea is to allow users to build arbitrarily complex interacting quantum systems out of free subsystems and interactions (elements), and simulate their time evolution with a number of available time-evolution drivers. C++QEDv2 specifies a small grammar to describe composite quantum systems. Apart from providing a number of elements out of the box, there are tools which facilitate the implementation of new elements. These are being added continuously, as the need arises. The principal concept of the design of C++QEDv2 is that all information available at compile time should be processed as such, with the help of TMP. The framework is very sensitive to performance both in computer resources and coding/design.
Runge is an Interactive Solver for Systems of Differential Equations
Runge is an Interactive Solver for Systems of Ordinary Differential Equations. It solves initial value problem (aka Cauchy problem). Few advantages Runge provides: It's fast. It utilizes BLAS and LAPACK libraries optimized for modern multi-core processors. It's interactive. It allows you to start a solution by mouse click on a plane. It's precise. It uses Runge Rule to adjust step length to satisfy required precision on each step. It's effective. When it needs to compute derivatives (Jacobian matrix, for example) it does that analytically, i.e. without using numerical methods. It's portable. It works on Windows and Linux 32 and 64 bit and Mac OS X 64 bit. It's open. It allows you to implement and embed your own algorithms (aka "solvers"). It's easy to use. It allows to export results to MS Excel and MATLAB. It's multilingual. It currently supports Englis and Russian languages. It's free. It's distributed under the Boost Software License.