Browsing by Snapshot Mathematical Subject "Numerics and Scientific Computing"
Now showing items 21-31 of 31
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On radial basis functions
[SNAP-2019-002-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2019-03-13)Many sciences and other areas of research and applications from engineering to economics require the approximation of functions that depend on many variables. This can be for a variety of reasons. Sometimes we have a ... -
Patterns and Waves in Theory, Experiment, and Application
[SNAP-2023-001-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2023-07-04)In this snapshot of modern mathematics we describe some of the most prevalent waves and patterns that can arise in mathematical models and which are used to describe a number of biological, chemical, physical, and social ... -
Prony’s method: an old trick for new problems
[SNAP-2018-004-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2018-03-06)In 1795, French mathematician Gaspard de Prony invented an ingenious trick to solve a recovery problem, aiming at reconstructing functions from their values at given points, which arose from a specific application in ... -
Seeing through rock with help from optimal transport
[SNAP-2022-004-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2022-05-06)Geophysicists and mathematicians work together to detect geological structures located deep within the earth by measuring and interpreting echoes from manmade earthquakes. This inverse problem naturally involves the ... -
Shape space – a paradigm for character animation in computer graphics
[SNAP-2020-007-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2020-10-07)Nowadays 3D computer animation is increasingly realistic as the models used for the characters become more and more complex. These models are typically represented by meshes of hundreds of thousands or even millions ... -
A short story on optimal transport and its many applications
[SNAP-2018-013-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2018-08-08)We present some examples of optimal transport problems and of applications to different sciences (logistics, economics, image processing, and a little bit of evolution equations) through the crazy story of an industrial ... -
Solving inverse problems with Bayes' theorem
[SNAP-2022-006-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2022-09-05)The goal of inverse problems is to find an unknown parameter based on noisy data. Such problems appear in a wide range of applications including geophysics, medicine, and chemistry. One method of solving them is known as ... -
Swarming robots
[SNAP-2016-001-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2016)When lots of robots come together to form shapes, spread in an area, or move in one direction, their motion has to be planned carefully. We discuss how mathematicians devise strategies to help swarms of robots behave like ... -
Visual analysis of Spanish male mortality
[SNAP-2015-012-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2015)Statistical visualization uses graphical methods to gain insights from data. Here we show how a technique called principal component analysis is used to analyze mortality in Spain over about the last hundred years. This ... -
Eine visuelle Analyse der Sterblichkeit männlicher Spanier
[SNAP-2015-012-DE] (Mathematisches Forschungsinstitut Oberwolfach, 2016)Die statistische Visualisierung benutzt graphische Methoden um Erkenntnisse aus Daten zu gewinnen. Wir zeigen wie mit dem Verfahren der Hauptkomponentenanalyse die Sterblichkeit in Spanien im Laufe der letzten hundert Jahre ... -
Wie steuert man einen Kran?
[SNAP-2016-007-DE] (Mathematisches Forschungsinstitut Oberwolfach, 2016)Die Steuerung einer Last an einem Kran ist ein technisch und mathematisch schwieriges Problem, da die Bewegung der Last nur indirekt beeinflusst werden kann. Anhand eines Masse-Feder-Systems illustrieren wir diese ...