mathematics

Jinchao Xu

Jinchao Xu 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 Jinchao Xu rather than just read about it. In short: Jinchao Xu (许进超, born 1961) is an American-Chinese mathematician. He is currently Professor of Applied Mathematics and Computational Sciences at King Abdullah University of Science and Technology, Director of KAUST-SRIBD Joint Lab for Scientific Computing and Machine Learning.

Key takeaways

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

Reference excerpt

Jinchao Xu (许进超, born 1961) is an American-Chinese mathematician. He is currently Professor of Applied Mathematics and Computational Sciences at King Abdullah University of Science and Technology, Director of KAUST-SRIBD Joint Lab for Scientific Computing and Machine Learning. He founded and directed the KAUST Innovation Hub in Shenzhen. Previously, he was the Verne M. Willaman Professor in the Department of Mathematics at the Pennsylvania State University, University Park. He is known for his work on multigrid methods, domain decomposition methods, finite element methods, and more recently deep neural networks.

Awards and honors Xu has published nearly 240 scientific papers and was ranked among the most highly cited mathematicians in the world by the Institute for Scientific Information (ISI) (e.g. top 25 worldwide for the years 1991 to 2001). He was a plenary speaker at the International Congress on Industrial and Applied Mathematics in 2007 and a 45-minute invited speaker at the International Congress of Mathematicians 2010, Hyderabad. In 2011, Xu was honored as a Fellow of the Society for Industrial and Applied Mathematics (SIAM) for his outstanding contributions to the theory and applications of multilevel and adaptive numerical methods. In 2012, he was elected as an inaugural Fellow of the American Mathematical Society (AMS). In 2019, he was named a Fellow of the American Association for the Advancement of Science(AAAS). In 2022, he was elected as Fellow of the European Academy of Sciences. In 2023, he was elected as Fellow of the Academia Europaea.

Xu received the Liu Memorial Award at Cornell University in 1988, the Natural Science Award from the National Academy of Science in China in 1989, and the Schlumberger Foundation Award in 1993. In 1995, Xu's research accomplishments were recognized with the first Feng Kang Prize for Scientific Computing from the Chinese Academy of Sciences. In honor of his achievements in computational mathematics research and teaching, he received the Humboldt Award for Senior U.S. Scientists in 2005. He also received the Research Award for National Outstanding Youth (Class B) in 2006 in China. In 2019, Xu was named a Fellow of the American Association for the Advancement of Science(AAAS).

References

External links Homepage of Jinchao Xu Homepage of Jinchao Xu at Penn State Jinchao Xu at the Mathematics Genealogy Project

Illustrations

Worked examples

Example 1 — a first encounter with Jinchao Xu

Start with the simplest possible case. Write down what Jinchao Xu 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 Jinchao Xu 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 Jinchao Xu 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 Jinchao Xu

In research: Jinchao Xu 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 Jinchao Xu 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: Jinchao Xu is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1961 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Jinchao Xu 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 Jinchao Xu in 20 minutes

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

Frequently asked questions

What is Jinchao Xu in simple terms?

Why does Jinchao Xu 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 Jinchao Xu?

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 Jinchao Xu.