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The Benchmark Energy & Geometry Database (BEGDB) collects results of highly accurate QM calculations of molecular structures, energies and properties. These data can serve as benchmarks for testing and parameterization of other computational methods.
The SuiteSparse Matrix Collection is a large and actively growing set of sparse matrices that arise in real applications. The Collection is widely used by the numerical linear algebra community for the development and performance evaluation of sparse matrix algorithms. It allows for robust and repeatable experiments. Its matrices cover a wide spectrum of domains, include those arising from problems with underlying 2D or 3D geometry (as structural engineering, computational fluid dynamics, model reduction, electromagnetics, semiconductor devices, thermodynamics, materials, acoustics, computer graphics/vision, robotics/kinematics, and other discretizations) and those that typically do not have such geometry (optimization, circuit simulation, economic and financial modeling, theoretical and quantum chemistry, chemical process simulation, mathematics and statistics, power networks, and other networks and graphs.
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In the Hellenistic and Roman period, many buildings and material objects were constructed using structural geometrical specifications. Ancient sundials were built using basic geometrical forms of very few construction types taking also into account the astronomical dimensions. In architectural drawings, comparable proportions can be found. The tower of the winds merges all these geometrical principles of construction. The construction drawings of this collection comprise geometrical drafts used for the construction of buildings. They differ from simple geometrical forms in that they present the general layout of the lines indicating objects and geometrical areas. Their geometrical dimensions are constructed according to the principles of proportional relations and were implemented in – sometimes very complex – work processes in which artefacts of the original objects were constructed. Construction drawings from the pillars of Didyma, which were discovered by Lothar Haselberger, serve as a paradigmatic model for these architectural drawings.