mathematics

Roland Glowinski

Roland Glowinski 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 Roland Glowinski rather than just read about it. In short: Roland Glowinski (9 March 1937 – 26 January 2022) was a French-American mathematician. He obtained his PhD in 1970 from Jacques-Louis Lions and was known for his work in applied mathematics, in particular numerical solution and applications of partial differential equations and variational inequalities.

Key takeaways

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

Reference excerpt

Roland Glowinski (9 March 1937 – 26 January 2022) was a French-American mathematician. He obtained his PhD in 1970 from Jacques-Louis Lions and was known for his work in applied mathematics, in particular numerical solution and applications of partial differential equations and variational inequalities. He was a member of the French Academy of Sciences and held an endowed chair at the University of Houston from 1985. Glowinski wrote many books on the subject of mathematics. In 2012, he became a fellow of the American Mathematical Society.

Selected publications with Jacques-Louis Lions and Raymond Trémolières: Numerical Analysis of variational inequalities, North Holland 1981 2011 pbk edition Numerical methods for nonlinear variational problems, Springer Verlag 1984, 2008; 2013 pbk edition with Michel Fortin: Augmented Lagrangian methods : applications to the numerical solution of boundary-value problems, North Holland 1983 with Patrick Le Tallec: Augmented Lagrangian and operator-splitting methods in nonlinear mechanics, Society for Industrial and Applied Mathematics 1989 Glowinski, R. (2003). Ciarlet, P. G.; Lions, J. L. (eds.). Numerical analysis for fluids (Part 3). Finite element methods for incompressible viscous flows. Handbook of Numerical Analysis, Vol. IX. North-Holland. ISBN 9780444512246. with Jacques-Louis Lions and Jiwen He: Exact and approximate controllability for distributed parameter systems: a numerical approach, Cambridge University Press 2008

References

External links homepage short biography

Illustrations

Worked examples

Example 1 — a first encounter with Roland Glowinski

Start with the simplest possible case. Write down what Roland Glowinski 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 Roland Glowinski 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 Roland Glowinski 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 Roland Glowinski

In research: Roland Glowinski 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 Roland Glowinski 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: Roland Glowinski is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1937 births, 2022 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Roland Glowinski 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.

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Roland Glowinski in 20 minutes

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

Frequently asked questions

What is Roland Glowinski in simple terms?

Why does Roland Glowinski 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 Roland Glowinski?

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 Roland Glowinski.