On closer inspection, we find science and especially mathematics throughout our everyday lives, from the tap to automatic speed regulation on motorways, in medical technology or on our mobile phone. What the researchers, graduates and academic teachers in Karlsruhe puzzle about, you experience firsthand in our podcast "The modeling approach“.

Everybody can subscribe to the podcast of Gudrun Thäter and Sebastian Ritterbusch under http://modellansatz.de/rss/en/ or from directory services such as iTunes. New episodes are announced under @modellansatz (twitter) as well as on Facebook.

This is the list of episodes published in English:

Modell227 16.01.2020 | Pattern Formation: Mariana Haragus studies the mathematical nature of phenomena like the patterns forming in a heating pan with a layer of oil. First the oil is in rest, and suddenly small cells are building up, in which the oil is moving in a circular pattern. | |

Modell226 09.01.2020 | Linear Sampling: Fioralba Cakoni introduces us to the linear sampling method, which is a method to reconstruct the shape of an obstacle from its scattering without a priori knowledge of either the physical properties or the number of disconnected components of the scatterer. | |

Modell222 31.10.2019 | Peaked Waves: Anna Geyer is interested in the behaviour of solutions to equations which model shallow water waves, especially the instability of peaked periodic waves, and gives insights into various models for waves, the meaning of stability and instability, and the mathematical tools used in her field. | |

Modell220 17.10.2019 | Cancer Research: Changjing Zhuge is a mathematician who is interested in system biology. In some cases he studies delay differential equations or systems of ordinary differential equations to characterize processes and interactions in the context of cancer research. | |

Modell211 11.07.2019 | Batteries: Mathematical modelling and numerical simulation have become standard techniques in battery research and development. Serena Carelli researches methods for end-of-life prediction of a lithium-ion battery cell by studying the mechanistic ageing models of the graphite electrode. | |

Modell197 21.02.2019 | Portrait of Science: Magdalena Gonciarz is giving science an image. She started Portrait of Science in 2016 with two objectives: to show that science is a process with many contributors at all carreer levels and to have a get-away from a demanding PhD-project, to express her creativity and have tangible results. | |

Modell190 20.12.2018 | Energy Markets: Sema Coşkun constructs models for energy markets, that exhibit very special behavior: For example, the electricity market is bound to production and consumption with effects on several time scales. | |

Modell189 12.12.2018 | Nonhomogenous Fluids: Xian Liao studies Dispersive Partial Differential Equations. These equations model, e.g., the behaviour of waves. Studying flows of inhomogneous materials such as water and oil brings in further difficulties since there occur more and more complex nonlinearities in the equations. | |

Modell188 06.12.2018 | Inno2Grid: Carlos Rojas combines e-mobility with renewable energy, and converting offices into smart buildings. All usage data is analyzed to find ways to optimize these processes with limited computational possibilities. | |

Modell186 08.11.2018 | Micro Grids: Claire Harvey investigated micro grids, small scale electrical grid systems where self-sufficient supply is achieved. Integration of micro grid design within district planning processes is very desirable for decentralized energy systems, to meet local technical, economical and environmental needs. | |

Modell183 18.10.2018 | Electric Vehicles: Zaheer Ahamed investigated the influence of an increasing number of electric vehicles to the electrical grid during his ENTECH Master's program at Karlsruhe Institute of Technology and Uppsala University. | |

Modell182 11.10.2018 | SimScale is a cloud-based platform that gives access to computational fluid dynamics and finite element analysis simulation technology in a standard web browser. Jousef Murad is helping engineers and designers to apply the platform to easily test performance, optimize durability or improve efficiency of their design. | |

Modell176 02.08.2018 | Mechanical Engineering: Yueyang Cai and Siddhant Dhanrajani study Mechanical Engineering at the Karlsruhe Institute for Technology (KIT), where they attended the lecture of Advanced Mathematics (AM) of Gudrun. They talk about their previous education, and about their experience studying in Karlsruhe. | |

Modell173 12.07.2018 | Dynamical Sampling: Roza Aceska asks how many measurements of a process are necessary in order to obtain the full information and are there possibilities to cleverly choose the time and the spatial situation of a measurement? These questions lead to the research field of dynamical sampling. | |

Modell171 28.06.2018 | Algebraic Geometry: Eliana Maria Duarte Gelvez explains what important role algebraic geometry play in animated movies or computer games as all objects have to be represented by the computer, and the surfaces of the geometric objects are parametrized by polynomials. | |

Modell167 24.05.2018 | Automatic Differentiation: Asher Zarth applies automatic differentiation to computational fluid dynamics to optimize shapes, like to find a shape that minimizes the drag in a Stokes flow. Using the simulation software OpenLB the solution converged to a shape like an American Football ball quite fast. | |

Modell162 05.04.2018 | Singular Pertubation: At the National University of Ireland in Galway, Roisin Hill works on Balanced norms and mesh generation for singularly perturbed reaction-diffusion problems. | |

Modell161 29.03.2018 | Embryonic Patterns: Karen Page is interested in mathematical models for pattern formation in Mathematical Biology, such as why (and how) a human embryo develops five fingers on each hand. | |

Modell155 01.02.2018 | Turbulence: Martina Hofmanová studies turbulent flow, i.e. chaotic behaviour of the pressure and the velocity field, as we see it in the smoke pattern of a freshly extinguished candle. | |

Modell148 16.11.2017 | Weather Generator: Bruno Pousinho modeled weather generators for planning renewable energy resources. Weather generators do not predict weather phenomena but provide random simulations with the same distributional properties as the measured weather data in the past. | |

Modell146 12.10.2017 | Advanced Mathematics: Gudrun Thäter and Jonathan Rollin introduce the lecture Advanced Mathematics, and give advice on how to best start studying Mathematics at the university. | |

Modell134 24.05.2017 | Cerebral Fluid Flow: Marie Elisabeth Rognes is devoted to providing robust methods to solve PDEs for diverse applications, such as Cerebral fluid flow in the human brain as an exemplary application to her research. | |

Modell133 18.05.2017 | Convolution Quadrature: Maria Lopez-Fernandez investigates robust and efficient approximation of convolutions with applications to wave scattering problems. She was one of the seven invited speakers at our conference Women in PDEs in April 2017 in Karlsruhe. | |

Modell121 19.01.2017 | Rage of the Blackboard: The Rage of the Blackboard is the name of the blog of Constanza Rojas-Molina where she reaches out to women in her field to speak about their mathematical results as well as their experiences. | |

Modell119 22.12.2016 | Julia Sets: Pascal Kraft introduces us to Julia Sets. Although they are constructed by very simple formulae their shapes are surprisingly complex on any scale and turn out to be quite beautiful. | |

Modell116 01.12.2016 | Homogenization: Andrii Khrabustovskyi discusses his research interests Asymptotic analysis and homogenization of PDEs. Homogenization aims to replace a complicated inhomogeneous by a simpler homogeneous medium with similar properties and characteristics. | |

Modell112 03.11.2016 | Filters: Liliana Augusto investigates filtering devices which work on a micro and nano level, and computes the pressure drop between in- and outlet of the filter as well as the collection efficiency. | |

Modell109 13.10.2016 | Crime Prevention: Andrea Bertozzi investigates the idea to model crimes of opportunity as being triggered by crimes that already happend. So the likelihood of new crimes can be predicted as an excitation in space and time like the shock of an earthquake. | |

Modell108 06.10.2016 | Robots: Anette Hosoi wanted to do fluid dynamics even before she had any course on that topic. Then she started to work as Assistant Professor at MIT where everyone wanted to build robots. So she had to find an intersection between fluid and roboters. | |

Modell094 02.06.2016 | Banach-Tarski Paradox: Nicolas Monod teaches at the École polytechnique fédérale in Lausanne and leads the Ergodic and Geometric Group Theory group there. In May 2016 he was invited to give the Gauß lecture of the German Mathematical Society (DMV) at the Technical University in Dresden. He presented 100 Jahre Zweisamkeit – The Banach-Tarski Paradox. | |

Modell092 05.05.2016 | Viscoelastic Fluids: Helen Wilson studies viscoelastic fluids that combine viscous and elastic behaviour. Elastic effects in fluids often stem from clusters of particles or long polymers in the fluid, which align with the flow. It takes them a while to come back when the flow pattern changes. We can consider that as keeping a memory of what happened before. | |

Modell089 14.04.2016 | Crop Growth: Josie Dodd develops models that describe plant and canopy growth of the Bambara Groundnut - especially the plant interaction when grown as part of a crop. The Bambara Groundnut is an remarkably robust crop and is therefore a candidate for adding to our food supply in the future. | |

Modell086 24.03.2016 | Complex Geometries: Before numerical simulations can take place, the computational domain has to be represented as a mesh which sometimes is hard to create. Therefore, Sandra May investigates a cut cell aproach to generate efficient meshes for complex geometries like airplanes or racing cars. | |

Modell075 17.12.2015 | Transparent Boundaries: Sonia Fliss is interested in so-called transparent boundary conditions to compute the propagation of waves around an obstacle inside a an unbounded in-homogeneous domain. The artificial boundary conditions can help reducing the computational domain to a bounded domain. | |

Modell074 10.12.2015 | Population Models: How do populations evolve? This question inspired Alberto Saldaña to his PhD thesis. He considered an extended Lotka-Volterra models which is describing the dynamics of two species such as wolves. | |

Modell069 29.10.2015 | Electrodynamics: The traditional model of Maxwell's equations for Electrodynamics is problematic for point charges. Therefore, Denis Bonheure investigates the nonlinear Born-Infeld model similar to the relativistic theory of Einstein. | |

Modell066 01.10.2015 | Nanophotonics: Nanophotonics is one great path into our future since it renders possible to build e.g. absorber, emitter or amplifier on a scale of a few dozen nanometers. The main focus of our guest Claire Scheid who is working on nanophotonics is to solve the corresponding partial differential equations numerically. | |

Modell062 30.07.2015 | Splitting Waves: To separate one single instrument from the acoustic sound of a whole orchestra- just by knowing its exact position- gives a good idea of the concept of wave splitting, which is the research topic of Marie Kray. | |

Modell058 02.07.2015 | Acoustic Scattering: Scattering is a phenomenon in the propagation of waves. An interesting example from our everyday experience is when sound waves hit obstacles the wave field gets distorted. So, in a way, we can "hear" the obstacle, illustrated by Francisco Sayas. | |

Modell054 07.05.2015 | Waves: Indeed, waves are everywhere, illustrates Enrique Zuazua: They are visible in everything which vibrates and are an integral part of life itself. In our work as mathematician very often the task is to influence waves and vibrating structures like houses or antennae such that they remain stable. |

You will find the full list of episodes on this page in German.

The podcast is published under the CC BY-NC-ND 3.0 License. The Atmo is published under the CC BY-SA 3.0 License.