mathematics

Nicole Spillane

Nicole Spillane 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 Nicole Spillane rather than just read about it. In short: Nicole Spillane (born 2 January 1988) is a French and Irish applied mathematician. She is a researcher with the Centre national de la recherche scientifique (CNRS) in France, where she works in the center for applied mathematics of the École Polytechnique.

Key takeaways

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

Reference excerpt

Nicole Spillane (born 2 January 1988) is a French and Irish applied mathematician. She is a researcher with the Centre national de la recherche scientifique (CNRS) in France, where she works in the center for applied mathematics of the École Polytechnique. Her research concerns parallel algorithms for solving large systems of linear equations.

Career Spillane studied for an engineering diploma at the École des ponts ParisTech from 2006 to 2010. Over the same period she visited Stanford University and the Saclay Nuclear Research Centre, and earned a master's degree in mathematics from Pierre and Marie Curie University. She completed her doctorate in applied mathematics at Pierre and Marie Curie University in 2014. Her dissertation, Méthodes de décomposition de domaine robustes pour les problèmes symétriques définis positifs, was jointly supervised by Frédéric Nataf and Patrice Hauret. After postdoctoral research at the University of Chile, she joined CNRS and the École Polytechnique in 2015. In 2017 the Institute of Mathematics and its Applications gave Spillane their Leslie Fox Prize for Numerical Analysis.

Works Spillane, N.; Dolean, V.; Hauret, P.; Nataf, F.; Pechstein, C.; Scheichl, R. (2014). "Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps". Numerische Mathematik. 126 (4): 741–770. doi:10.1007/s00211-013-0576-y. hdl:10533/148135. ISSN 0029-599X. Dolean, Victorita; Nataf, Frédéric; Scheichl, Robert; Spillane, Nicole (2012). "Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet--to--Neumann maps". Computational Methods in Applied Mathematics. 12 (4): 391–414. doi:10.2478/cmam-2012-0027. Retrieved 29 November 2024. Spillane, N.; Rixen, D.J. (14 September 2013). "Automatic spectral coarse spaces for robust finite element tearing and interconnecting and balanced domain decomposition algorithms". International Journal for Numerical Methods in Engineering. 95 (11): 953–990. Bibcode:2013IJNME..95..953S. doi:10.1002/nme.4534. ISSN 0029-5981.

References

External links Home page

Illustrations

Worked examples

Example 1 — a first encounter with Nicole Spillane

Start with the simplest possible case. Write down what Nicole Spillane 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 Nicole Spillane 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 Nicole Spillane 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 Nicole Spillane

In research: Nicole Spillane 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 Nicole Spillane 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: Nicole Spillane is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1988 births, 21st-century French mathematicians, 21st-century French women mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Nicole Spillane 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 Nicole Spillane in 20 minutes

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

Frequently asked questions

What is Nicole Spillane in simple terms?

Why does Nicole Spillane 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 Nicole Spillane?

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 Nicole Spillane.