By Helmut Neunzert, Dieter Prätzel-Wolters, William Uber
This booklet bargains an insider's view of the way business difficulties are translated into arithmetic and the way fixing the maths results in convincing commercial suggestions besides. In 6 technical chapters, a variety of commercial difficulties is modeled, simulated, and optimized; four others describe the modeling, computing, optimization, and knowledge research ideas shaping the paintings of the Fraunhofer ITWM. each one technical bankruptcy illustrates how the suitable arithmetic has been tailored or prolonged for the categorical software and information the underlying sensible challenge and ensuing software program. the ultimate bankruptcy indicates how using mathematical modeling within the lecture room can switch a twin of this topic, making it fascinating and enjoyable.
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Extra resources for Currents in Industrial Mathematics: From Concepts to Research to Education
A good working environment, a minimum of hierarchical friction, and a climate of mutual respect and appreciation contribute significantly to our employees’ high level of commitment to and identification with their work and the Institute as a whole. Last, but not least, our straightforward dealings with our cooperation partners, based on the motto “promise only those things that you can really deliver,” is an important element in the Institute’s on-going economic success. This is not to say that there is no room for improvement.
Modeling 37 Modeling is a significant part of scientific practice. Physics, for example, consists of modeling and measuring. Newton’s mechanics, Einstein’s relativity theory, and Schrödinger’s quantum physics are just as much models as Navier–Stokes or Euler equations, as Darcy’s law of flow in porous media, as Cosserat’s solid body theory, or as the Maxwell equations. In our projects, classical physics predominates—particularly continuum mechanics, thermodynamics, and electrodynamics—since the temporal and spatial magnitudes dealt with in industry are generally well-suited to it.
Granted, a problem may be transferred to the department that has the appropriate method for it. To be perfectly honest, however, departments usually attract the problems that suit them, which makes such problems transferals relatively rare. Even when the modeler’s methodological competence is not the determining factor, the model of choice is not unambiguous. Again, we see varying degrees of complexity. One begins with the “full physics” (models of first principles)—for example, the full compressible Navier Stokes equations—and, since these are not utilizable for the given parameters, ends with Prandtl boundary layer equations or with simpler turbulence models.
Currents in Industrial Mathematics: From Concepts to Research to Education by Helmut Neunzert, Dieter Prätzel-Wolters, William Uber