mathematics

Vyacheslav Lebedev (mathematician)

Vyacheslav Lebedev (mathematician) 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 Vyacheslav Lebedev (mathematician) rather than just read about it. In short: Vyacheslav Ivanovich Lebedev (Russian: Вячеслав Иванович Лебедев) (January 27, 1930 – March 22, 2010) was a Soviet and Russian mathematician, known for his work on numerical analysis. Career Lebedev was a Ph.D. student of Sobolev.

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Reference excerpt

Vyacheslav Ivanovich Lebedev (Russian: Вячеслав Иванович Лебедев) (January 27, 1930 – March 22, 2010) was a Soviet and Russian mathematician, known for his work on numerical analysis.

Career Lebedev was a Ph.D. student of Sobolev. He worked at the Kurchatov Institute and Soviet/Russian Academy of Sciences, and taught students at the Moscow State University and Moscow Institute of Physics and Technology. He authored over a hundred papers and several books, most noticeably "Numerical methods in the theory of neutron transport" jointly with Gury Marchuk and "Functional Analysis in Computational Mathematics", based on his lectures. He graduated over 15 Ph.D. students. Lebedev quadrature has become one of the popular methods of integration on a sphere.

Areas of expertise He worked in many areas of computational and applied mathematics, ranging from software development for nuclear reactors modeling to approximation by polynomials, from quadrature on a sphere to numerical solution of stiff equations, for which he developed explicit Chebyshev methods called DUMKA, systems of PDEs, from domain decomposition and Poincaré–Steklov operators to finite difference methods, from iterative solvers to parallel computing. He even contributed to finding the roots of a cubic equation.

Awards He was a recipient of the Soviet State Award for developing mathematical methods of particle transport theory in 1987 and Chebyshev Gold medal (Russian: ru:Золотая медаль имени П. Л. Чебышева) in 2002–03.

Notes http://www.netlib.org/na-digest-html/10/v10n13.html#1 Vyacheslav Ivanovich Lebedev, January 27, 1930 – March 22, 2010

References Lebedev, V. I. (1976), "One Type of Quadrature Formulas of Algebraic Multiple Precision for Sphere", Doklady Akademii Nauk SSSR, 231 (1): 32–32 Lebedev, V. I. (1991), "On formulae for roots of cubic equation", Russian (Soviet) Journal of Numerical Analysis and Mathematical Modelling, 6 (4): 315–324, doi:10.1515/rnam.1991.6.4.315 Kerimov, M. K. (2005), "V. I. Lebedev, on the occasion of his 75th birthday", Comput. Math. Math. Phys., 45 (11): 1833–1844

External links Vyacheslav Lebedev at the Mathematics Genealogy Project Vyacheslav Lebedev — scientific works on the website Math-Net.Ru from RAS.RU (In Russian) from KIAE.RU Archived 2010-07-30 at the Wayback Machine (In Russian)

Illustrations

Worked examples

Example 1 — a first encounter with Vyacheslav Lebedev (mathematician)

Start with the simplest possible case. Write down what Vyacheslav Lebedev (mathematician) 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 Vyacheslav Lebedev (mathematician) 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 Vyacheslav Lebedev (mathematician) 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 Vyacheslav Lebedev (mathematician)

In research: Vyacheslav Lebedev (mathematician) 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 Vyacheslav Lebedev (mathematician) 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: Vyacheslav Lebedev (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1930 births, 2010 deaths, Moscow State University alumni, so understanding it makes those chapters shorter.
In everyday life: Look for Vyacheslav Lebedev (mathematician) 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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Frequently asked questions

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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.

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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.

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