… to the web pages of the ‘Gesellschaft für Inverse Probleme e.V.’, the Society of Inverse Problems in German Speaking Countries. The aim of this society is the promotion of scientific research on inverse problems and the representation of this field on a national and international level. For this purpose the society awards a price for the best PhD thesis on inverse problems in German speaking countries every two years and organizes regular international workshops in the tradition of the Chemnitz symposium on Inverse Problems.
What are inverse problems?
Inverse problems usually consist in finding causes for observed effects. Examples are imaging methods in medicine, engineering, and the natural sciences such as computerized tomography, magnetic resonance imaging, electron microscopy, seismic imaging or optical nanoscopy (e.g. STED or SMS), among others. In many cases the determination of effects from given causes, the so-called forward problem, can be modelled by differential equations. This leads to inverse problems where some part of a differential equation such as a coefficient function, an initial or boundary condition or the shape of a domain has to be determined from observations of part of the solution to the differential equation.