mathematics

Paul Garabedian

Paul Garabedian 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 Paul Garabedian rather than just read about it. In short: Paul Roesel Garabedian (August 2, 1927 – May 13, 2010) was a mathematician and numerical analyst. Garabedian was the Director-Division of Computational Fluid Dynamics at the Courant Institute of Mathematical Sciences, New York University.

Key takeaways

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

Reference excerpt

Paul Roesel Garabedian (August 2, 1927 – May 13, 2010) was a mathematician and numerical analyst. Garabedian was the Director-Division of Computational Fluid Dynamics at the Courant Institute of Mathematical Sciences, New York University. He is known for his contributions to the fields of computational fluid dynamics and plasma physics, which ranged from elegant existence proofs for potential theory and conformal mappings to the design and optimization of stellarators. Garabedian was elected a member of the National Academy of Sciences in 1975.

Education and career Born in Cincinnati, Ohio, Garabedian received a bachelor's degree from Brown University in 1946 and a master's degree from the Harvard University in 1947, both in mathematics. He received his Ph.D., also from Harvard University, in 1948 under the direction of Lars Ahlfors. It was at Brown University that he met his longtime colleague and collaborator, Frances Bauer. In 1949 Garabedian joined the faculty at the University of California as an Assistant Professor and became associate professor in 1952. In 1956, he moved to Stanford University as a professor of mathematics. In 1959 he moved to the Institute of Mathematical Sciences [later renamed the Courant Institute] at New York University. In 1978 he was appointed the Director-Division of Computational Fluid Dynamics at the Courant Institute of Mathematical Sciences, New York University. In a long and fruitful academic career, Garabedian supervised 27 Ph.D. theses. The first was in 1953 (Edward McLeod) and the last came in 1997 (Connie Chen).

Honors and awards Sloan Fellowship, 1961–63 Guggenheim Fellowship, 1966 Fairchild Distinguished Scholar Caltech, 1975 NASA Public Service Group Achievement Award by NASA Langley Research Center, 1976 Boris Pregel Award, New York Academy of Sciences, 1980 Birkhoff Prize of the AMS and SIAM, 1983 Theodore von Kármán Prize, SIAM, 1989

Books Partial Differential Equations, 2nd ed., Chelsea Pub. Co. (1998). ISBN 0-8218-1377-3 Magnetohydrodynamic Equilibrium and Stability of Stellarators, with F. Bauer and O. Betancourt. Springer-Verlag (1984). ISBN 0-387-90966-4 Supercritical Wing Sections II, with F. Bauer, D. Korn and A. Jameson. Lecture Notes in Economics and Mathematical Systems, Springer-Verlag (1975), ISBN 0-387-07029-X.

References

External links Garabedian's Curriculum Vitae Paul Garabedian at the Mathematics Genealogy Project New York Times obituary

Worked examples

Example 1 — a first encounter with Paul Garabedian

Start with the simplest possible case. Write down what Paul Garabedian 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 Paul Garabedian 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 Paul Garabedian 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 Paul Garabedian

In research: Paul Garabedian 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 Paul Garabedian 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: Paul Garabedian is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1927 births, 2010 deaths, 20th-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Paul Garabedian 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 Paul Garabedian in 20 minutes

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

Frequently asked questions

What is Paul Garabedian in simple terms?

Why does Paul Garabedian 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 Paul Garabedian?

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 Paul Garabedian.