mathematics

Randall J. LeVeque

Randall J. LeVeque 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 Randall J. LeVeque rather than just read about it. In short: Randall J.. LeVeque is a Professor of Applied Mathematics at University of Washington who works in many fields including numerical analysis, computational fluid dynamics, and mathematical theory of conservation laws.

Key takeaways

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

Reference excerpt

Randall J.. LeVeque is a Professor of Applied Mathematics at University of Washington who works in many fields including numerical analysis, computational fluid dynamics, and mathematical theory of conservation laws. Among other contributions, he is lead developer of the open source software project Clawpack for solving hyperbolic partial differential equations using the finite volume method. With Zhilin Li, he has also devised a numerical technique called the immersed interface method for solving problems with elastic boundaries or surface tension. He was an invited speaker at the 2006 International Congress of Mathematicians held in Madrid. He became a fellow of the Society for Industrial and Applied Mathematics in 2010, fellow of the American Mathematical Society in 2013, and a member of the National Academy of Sciences in 2021. LeVeque is a son of the well-known mathematician William J. LeVeque.

Education and career LeVeque received his B.A. in mathematics from University of California, San Diego in 1977. He then continued to Stanford University to get his Ph.D. in computer science in 1982. Following a postdoctoral fellowship at the Courant Institute and the Hedrick Assistant Professorship at University of California, Los Angeles, he has been a faculty member at the University of Washington since 1985. He has advised twenty three PhD students.

Books LeVeque has authored several textbooks and monographs:

Finite Volume Methods for Hyperbolic Problems, Cambridge University Press (2002). ISBN 0-521-00924-3 Numerical Methods for Conservation Laws, 1st ed. (1992), 2nd ed., Birkhäuser Basel (2005). ISBN 3-7643-2723-5 Computational Methods for Astrophysical Fluid Flow, Springer (1998). ISBN 3-540-64448-2 Finite Difference Methods for Ordinary and Partial Differential Equations, Steady State and Time Dependent Problems, SIAM (2007). ISBN 978-0-89871-629-0

References

External links Randall J. LeVeque at the Mathematics Genealogy Project

Illustrations

Worked examples

Example 1 — a first encounter with Randall J. LeVeque

Start with the simplest possible case. Write down what Randall J. LeVeque 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 Randall J. LeVeque 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 Randall J. LeVeque 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 Randall J. LeVeque

In research: Randall J. LeVeque 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 Randall J. LeVeque 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: Randall J. LeVeque is common in secondary-school and first-year university syllabi. It links to neighbouring topics 20th-century American mathematicians, 21st-century American mathematicians, Computational fluid dynamicists, so understanding it makes those chapters shorter.
In everyday life: Look for Randall J. LeVeque 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 Randall J. LeVeque in 20 minutes

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

Frequently asked questions

What is Randall J. LeVeque in simple terms?

Why does Randall J. LeVeque 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 Randall J. LeVeque?

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 Randall J. LeVeque.