mathematics

Gunilla Kreiss

Gunilla Kreiss 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 Gunilla Kreiss rather than just read about it. In short: Gunilla Kreiss (born 1958) is a Swedish applied mathematician and numerical analyst specializing in level-set methods and numerical methods for partial differential equations, especially for problems arising in fluid dynamics including two-phase flow, shear flow, and Burgers' equation. She is professor of numerical analysis in the Department of Information Technology, Division of Scientific Computing at Uppsala Univ…

Key takeaways

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

Reference excerpt

Gunilla Kreiss (born 1958) is a Swedish applied mathematician and numerical analyst specializing in level-set methods and numerical methods for partial differential equations, especially for problems arising in fluid dynamics including two-phase flow, shear flow, and Burgers' equation. She is professor of numerical analysis in the Department of Information Technology, Division of Scientific Computing at Uppsala University, and editor-in-chief of BIT Numerical Mathematics.

Education and career Kreiss became interested in numerical analysis while studying civil engineering at the KTH Royal Institute of Technology. She earned a master's degree in applied mathematics there in 1982, and completed her PhD in 1986, with the dissertation Analytical and numerical studies of the convergence to steady state of solutions of two model problems of fluid dynamics jointly supervised by Germund Dahlquist and Björn Engquist. After completing her doctorate, she continued at the KTH Royal Institute of Technology as an assistant professor, beginning in 1987, and was promoted to associate professor in 1993 and full professor in 2003. She headed the Numerical Analysis Group at KTH from 2004 to 2006. She took her present position as professor of numerical analysis at Uppsala University in 2006, and headed the Division of Scientific Computing there beginning in 2012. At Uppsala University, her doctoral students have included Sara Zahedi (PhD 2011), who won the 2016 European Mathematical Society Prize for her work on fluid dynamics. She was appointed editor-in-chief of the journal BIT Numerical Mathematics in 2017, and later became the sole editor after her co-editor, Lars Eldén, stepped down.

Personal life Kreiss is the daughter of mathematician Heinz-Otto Kreiss, who also became her academic grandfather and frequent coauthor.

References

External links Gunilla Kreiss publications indexed by Google Scholar

Worked examples

Example 1 — a first encounter with Gunilla Kreiss

Start with the simplest possible case. Write down what Gunilla Kreiss 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 Gunilla Kreiss 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 Gunilla Kreiss 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 Gunilla Kreiss

In research: Gunilla Kreiss 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 Gunilla Kreiss 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: Gunilla Kreiss is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1958 births, 20th-century Swedish mathematicians, Academic staff of Uppsala University, so understanding it makes those chapters shorter.
In everyday life: Look for Gunilla Kreiss 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 Gunilla Kreiss in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Gunilla Kreiss 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 Gunilla Kreiss out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Gunilla Kreiss in simple terms?

Why does Gunilla Kreiss 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 Gunilla Kreiss?

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 Gunilla Kreiss.