mathematics

Stefan Güttel

Stefan Güttel is a mathematics 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 Stefan Güttel rather than just read about it. In short: Stefan Dietrich Güttel (born 27 November 1981) is a German numerical analyst. He is Professor of Applied Mathematics in the Department of Mathematics at the University of Manchester.

Key takeaways

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

Reference excerpt

Stefan Dietrich Güttel (born 27 November 1981) is a German numerical analyst. He is Professor of Applied Mathematics in the Department of Mathematics at the University of Manchester. Güttel was born in Dresden, and was educated at the Freiberg University of Mining and Technology, from which he gained his MSc in Applied Mathematics (2006) and PhD in Applied Mathematics (2010). His PhD thesis Rational Krylov Methods for Operator Functions was supervised by Michael Eiermann. He worked as a postdoctoral researcher at the University of Geneva (2010–2011) and the University of Oxford (2011–2012). In 2012 he was appointed lecturer in mathematics at the University of Manchester, and later promoted to Senior Lecturer and Reader. In 2021 he was promoted to Professor of Applied Mathematics. Güttel is best known for his work on numerical algorithms for large-scale problems arising with differential equations and in data science, in particular Krylov subspace methods. He worked with companies such as Intel, Schlumberger, and Arup. Since 2018 Güttel is a Fellow of the Alan Turing Institute, the United Kingdom's national institute for data science and artificial intelligence. In 2018 he received a Teaching Excellence Award of the University of Manchester. In 2021 he was awarded the James H. Wilkinson Prize in Numerical Analysis and Scientific Computing by the Society for Industrial and Applied Mathematics (SIAM) for his contributions to the analysis, implementation, and application of rational and block Krylov methods (laudatio), which have become popular for the efficient numerical solution of large eigenvalue problems, matrix equations, and in model order reduction. In 2023 he received the Taussky–Todd Prize of the International Linear Algebra Society. In 2026 he was elected a SIAM Fellow. Güttel has served as the elected Secretary and Treasurer of the UK and Republic of Ireland section of SIAM (2016–2018) and is a member of SIAM's membership committee (since 2020). He served on the editorial boards of the SIAM Journal on Scientific Computing (2015–2021) and Electronic Transactions on Numerical Analysis (since 2020).

References

External links Stefan Güttel's Homepage Stefan Güttel at the Mathematics Genealogy Project Publications by Stefan Güttel at ResearchGate

Worked examples

Example 1 — a first encounter with Stefan Güttel

Start with the simplest possible case. Write down what Stefan Güttel claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, 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 Stefan Güttel 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 Stefan Güttel 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 Stefan Güttel

In research: Stefan Güttel appears in mathematics 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 Stefan Güttel 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: Stefan Güttel is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1981 births, 21st-century German mathematicians, Academics of the University of Manchester, so understanding it makes those chapters shorter.
In everyday life: Look for Stefan Güttel 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 Stefan Güttel in 20 minutes

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

Frequently asked questions

What is Stefan Güttel in simple terms?

Stefan Dietrich Güttel (born 27 November 1981) is a German numerical analyst. He is Professor of Applied Mathematics in the Department of Mathematics at the University of Manchester.

Why does Stefan Güttel matter?

Because it connects several mathematics 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 Stefan Güttel?

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 Stefan Güttel.