mathematics

Linda Petzold

Linda Petzold 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 Linda Petzold rather than just read about it. In short: Linda Ruth Petzold (born 1954) is a professor of computer science and mechanical engineering at the University of California, Santa Barbara, where she is also listed as affiliated faculty in the department of mathematics. Her research concerns differential algebraic equations and the computer simulation of large real-world social and biological networks.

Key takeaways

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

Reference excerpt

Linda Ruth Petzold (born 1954) is a professor of computer science and mechanical engineering at the University of California, Santa Barbara, where she is also listed as affiliated faculty in the department of mathematics. Her research concerns differential algebraic equations and the computer simulation of large real-world social and biological networks.

Education Petzold did both her undergraduate and graduate studies at the University of Illinois at Urbana–Champaign, earning a bachelor's degree in mathematics and computer science in 1974 and a doctorate in computer science in 1978 under the supervision of C. William Gear.

Recognition Petzold was the first winner of the J. H. Wilkinson Prize for Numerical Software, for her work on DASSL, a system for the numerical solution of differential algebraic equations. She was also the inaugural Kovalesky Lecturer in 2003, and in 2013 she won the SIAM/ACM Prize in Computational Science and Engineering. She was elected a member of the National Academy of Engineering in 2004 "for advances in the numerical solution of differential/algebraic equations and their incorporation into widely distributed software." She became a Fellow of the Society for Industrial and Applied Mathematics in 2009 and of the Association for Computing Machinery in 2013; She is also a fellow of the American Society of Mechanical Engineers and of the American Association for the Advancement of Science. She was elected to the National Academy of Sciences in 2021. In January 2015 she was given an honorary doctorate by Uppsala University.

References

Further reading Estrada, Andrea (March 10, 2011), "Linda Petzold Receives UCSB Faculty's Top Honor", The UC Santa Barbara Current Linda Petzold (June 1981). "An Efficient Numerical Method for Highly Oscillatory Ordinary Differential Equations". SIAM Journal on Numerical Analysis. 18 (3): 455–479. Bibcode:1981SJNA...18..455P. doi:10.1137/0718030. hdl:2027/uiuo.ark:/13960/t3hx2w71q.

External links Google scholar profile

Illustrations

Worked examples

Example 1 — a first encounter with Linda Petzold

Start with the simplest possible case. Write down what Linda Petzold 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 Linda Petzold 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 Linda Petzold 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 Linda Petzold

In research: Linda Petzold 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 Linda Petzold 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: Linda Petzold is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1954 births, 20th-century American mathematicians, 20th-century American women mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Linda Petzold 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 Linda Petzold in 20 minutes

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

Frequently asked questions

What is Linda Petzold in simple terms?

Why does Linda Petzold 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 Linda Petzold?

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 Linda Petzold.