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astronomy

Peter Benner

Peter Benner is a astronomy topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Peter Benner rather than just read about it. In short: Peter Benner (born May 25, 1967) is a German mathematician specialized in dynamical systems and numerical analysis. He was managing director at the Max Planck Institute for Dynamics of Complex Technical Systems in Magdeburg, Germany.

Peter Benner — main illustration
Peter Benner — illustration

Key takeaways

  • Peter Benner belongs to astronomy; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Peter Benner to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Peter Benner from memory before moving on to harder problems.

Reference excerpt

Peter Benner (born May 25, 1967) is a German mathematician specialized in dynamical systems and numerical analysis. He was managing director at the Max Planck Institute for Dynamics of Complex Technical Systems in Magdeburg, Germany.

Education and career Benner was born in Kirchen (Sieg). After graduating from high school in 1986 at the Freiherr vom Stein Gymnasium in Betzdorf, Benner studied mathematics with a minor in economics/operations research at the RWTH Aachen University from 1987. In 1993 he received the Springorum commemorative coin from RWTH Aachen for his diploma thesis. He received his doctorate in 1997 in the field of mathematics from the Chemnitz University of Technology under the supervision of Volker Mehrmann. From 1997 to 2001 he worked as a research assistant at the Center for Technomathematics at the University of Bremen. He completed his habilitation there in 2001. From 2001 to 2003, Benner taught as a senior assistant at the Institute for Mathematics at Technische Universität Berlin. In the meantime he worked as a visiting professor at the Hamburg University of Technology. In 2003 he accepted a professorship for mathematics in industry and technology at Chemnitz University of Technology. Benner was a visiting scientist and professor at the University of Kansas, the Università di Modena e Reggio Emilia, the Lawrence Berkeley National Laboratory, the Courant Institute of Mathematical Sciences of New York University, Virginia Tech, the Université du Littoral Côte d'Opale in Calais and Shanghai University employed. In 2018 he was a J. Tinsley Oden Faculty Fellow at the University of Texas at Austin. In 2010, Benner was appointed director and scientific member at the Max Planck Institute for Dynamics of Complex Technical Systems. He began research there with his specialist group Computational Methods in Systems and Control Theory at the Max Planck Institute on May 1, 2010. In the same year he was a visiting professor at the Université du Littoral Côte d'Opale in Calais, France. At the beginning of 2011 he was appointed honorary professor of mathematics at the Otto von Guericke University Magdeburg. In 2015, he was Distinguished Professor at Shanghai University. Since 2017 he has been a Fellow of the Society for Industrial and Applied Mathematics (SIAM) since 2017. Benner is co-editor of various publications and mathematical journals, including the SIAM Journal on Matrix Analysis and Applications and co-author of various software packages. He is involved in mathematical societies, including SIAM and the Society for Applied Mathematics and Mechanics (GAMM). He has also been a member of the Niconet e.V. association since 2006. V., who develops and maintains the software library “Subroutine Library in Systems and Control” (SLICOT).

Bibliography Benner, Peter; Sorensen, Danny C.; Mehrmann, Volker, eds. (2005). Dimension Reduction of Large-Scale Systems: Proceedings of a Workshop held in Oberwolfach, Germany, October 19–25, 2003. Lecture Notes in Computational Science and Engineering. Vol. 45. Berlin, Heidelberg: Springer Berlin Heidelberg. doi:10.1007/3-540-27909-1. ISBN 978-3-540-24545-2. Benner, Peter; Hinze, Michael; ter Maten, E. Jan W., eds. (2011). Model Reduction for Circuit Simulation. Lecture Notes in Electrical Engineering. Vol. 74. Dordrecht: Springer Netherlands. doi:10.1007/978-94-007-0089-5. ISBN 978-94-007-0088-8. Benner, Peter; Findeisen, Rolf; Flockerzi, Dietrich; Reichl, Udo; Sundmacher, Kai, eds. (2014). Large-Scale Networks in Engineering and Life Sciences. Modeling and Simulation in Science, Engineering and Technology. Cham: Springer International Publishing. doi:10.1007/978-3-319-08437-4. ISBN 978-3-319-08436-7. Benner, Peter; Bollhöfer, Matthias; Kressner, Daniel; Mehl, Christian; Stykel, Tatjana, eds. (2015). Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory: Festschrift in Honor of Volker Mehrmann. Cham: Springer International Publishing. doi:10.1007/978-3-319-15260-8. ISBN 978-3-319-15259-2. Benner, Peter; Ohlberger, Mario; Patera, Anthony; Rozza, Gianluigi; Urban, Karsten, eds. (2017). Model Reduction of Parametrized Systems. MS&A. Vol. 17. Cham: Springer International Publishing. doi:10.1007/978-3-319-58786-8. ISBN 978-3-319-58785-1. Benner, Peter, ed. (2017). System Reduction for Nanoscale IC Design. Mathematics in Industry. Vol. 20. Cham: Springer International Publishing. doi:10.1007/978-3-319-07236-4. ISBN 978-3-319-07235-7. Benner, Peter; Breiten, Tobias; Faßbender, Heike; Hinze, Michael; Stykel, Tatjana; Zimmermann, Ralf, eds. (2021). Model Reduction of Complex Dynamical Systems. International Series of Numerical Mathematics. Vol. 171. Cham: Springer International Publishing. doi:10.1007/978-3-030-72983-7. ISBN 978-3-030-72982-0.

References

Illustrations

Peter Benner illustration

Worked examples

Example 1 — a first encounter with Peter Benner

Start with the simplest possible case. Write down what Peter Benner claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Peter Benner before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Peter Benner ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Peter Benner

In research
Peter Benner appears in astronomy research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Peter Benner in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Peter Benner is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1967 births, Academic staff of Otto von Guericke University Magdeburg, Academic staff of Technische Universität Berlin, so understanding it makes those chapters shorter.
In everyday life
Look for Peter Benner outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Peter Benner in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Peter Benner means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Peter Benner out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Peter Benner in simple terms?

Peter Benner (born May 25, 1967) is a German mathematician specialized in dynamical systems and numerical analysis. He was managing director at the Max Planck Institute for Dynamics of Complex Technical Systems in Magdeburg, Germany.

Why does Peter Benner matter?

Because it connects several astronomy ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Peter Benner?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Peter Benner.

Tags

  • 1967 births
  • Academic staff of Otto von Guericke University Magdeburg
  • Academic staff of Technische Universität Berlin
  • Academic staff of the Chemnitz University of Technology
  • Chemnitz University of Technology alumni
  • Dynamical systems theorists
  • German mathematicians
  • German systems scientists
  • Living people
  • Max Planck Institute directors
  • Numerical analysts
  • People from Kirchen

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