Beatrice Meini (born 1968) is an Italian computational mathematician and numerical analyst specializing in numerical linear algebra and its applications to Markov chains, matrix equations, and queueing theory. She is Professor of Numerical Analysis in the Department of Mathematics at the University of Pisa.
Meini was born on 5 December 1968 in Pontedera, in the province of Pisa. She earned a laurea in mathematics from the University of Pisa in 1993, [1] and completed her Ph.D. there in 1998. Her dissertation, Fast Algorithms For The Numerical Solution of Structured Markov Chains, was supervised by Dario Bini. [1] [2]
After postdoctoral research with the Italian National Research Council (CNR) and at the University of Pisa, she became an associate professor of numerical analysis at the University of Pisa in 2005, and a full professor in 2016. [1]
Meini is the coauthor of books including:
Shing-Tung Yau is a Chinese-American mathematician and the William Caspar Graustein Professor of Mathematics at Harvard University. In April 2022, Yau announced retirement from Harvard to become Chair Professor of mathematics at Tsinghua University.
Pierre-Louis Lions is a French mathematician. He is known for a number of contributions to the fields of partial differential equations and the calculus of variations. He was a recipient of the 1994 Fields Medal and the 1991 Prize of the Philip Morris tobacco and cigarette company.
Eugene Borisovich Dynkin was a Soviet and American mathematician. He made contributions to the fields of probability and algebra, especially semisimple Lie groups, Lie algebras, and Markov processes. The Dynkin diagram, the Dynkin system, and Dynkin's lemma are named after him.
Ennio De Giorgi, a member of the House of Giorgi, was an Italian mathematician who worked on partial differential equations and the foundations of mathematics.
Lamberto Cesari was an Italian mathematician naturalized in the United States, known for his work on the theory of surface area, the theory of functions of bounded variation, the theory of optimal control and on the stability theory of dynamical systems: in particular, by extending the concept of Tonelli plane variation, he succeeded in introducing the class of functions of bounded variation of several variables in its full generality.
Solomon Grigor'evich Mikhlin was a Soviet mathematician of who worked in the fields of linear elasticity, singular integrals and numerical analysis: he is best known for the introduction of the symbol of a singular integral operator, which eventually led to the foundation and development of the theory of pseudodifferential operators.
Richard Steven Varga was an American mathematician who specialized in numerical analysis and linear algebra. He was an Emeritus University Professor of Mathematical Sciences at Kent State University and an adjunct Professor at Case Western Reserve University. Varga was known for his contributions to many areas of mathematics, including matrix analysis, complex analysis, approximation theory, and scientific computation. He was the author of the classic textbook Matrix Iterative Analysis. Varga served as the Editor-in-Chief of the journal Electronic Transactions on Numerical Analysis (ETNA).
In queueing theory, a discipline within the mathematical theory of probability, an M/G/1 queue is a queue model where arrivals are Markovian, service times have a General distribution and there is a single server. The model name is written in Kendall's notation, and is an extension of the M/M/1 queue, where service times must be exponentially distributed. The classic application of the M/G/1 queue is to model performance of a fixed head hard disk.
Albert Turner Bharucha-Reid was an American mathematician and theorist who worked extensively on probability theory, Markov chains, and statistics. The author of more than 70 papers and 6 books, his work touched on such diverse fields as economics, physics, and biology.
In probability theory, the matrix analytic method is a technique to compute the stationary probability distribution of a Markov chain which has a repeating structure and a state space which grows unboundedly in no more than one dimension. Such models are often described as M/G/1 type Markov chains because they can describe transitions in an M/G/1 queue. The method is a more complicated version of the matrix geometric method and is the classical solution method for M/G/1 chains.
Alessandro Faedo was an Italian mathematician and politician, born in Chiampo. He is known for his work in numerical analysis, leading to the Faedo–Galerkin method: he was one of the pupils of Leonida Tonelli and, after his death, he succeeded him on the chair of mathematical analysis at the University of Pisa, becoming dean of the faculty of sciences and then rector and exerting a strong positive influence on the development of the university.
Dario Graffi was an influential Italian mathematical physicist, known for his researches on the electromagnetic field, particularly for a mathematical explanation of the Luxemburg effect, for proving an important uniqueness theorem for the solutions of a class of fluid dynamics equations including the Navier-Stokes equation, for his researches in continuum mechanics and for his contribution to oscillation theory.
Isabella Grigoryevna Bashmakova was a Russian historian of mathematics. In 2001, she was a recipient of the Alexander Koyré́ Medal of the International Academy of the History of Science.
Carlo Miranda was an Italian mathematician, working on mathematical analysis, theory of elliptic partial differential equations and complex analysis: he is known for giving the first proof of the Poincaré–Miranda theorem, for Miranda's theorem in complex analysis, and for writing an influential monograph in the theory of elliptic partial differential equations.
Roberto Conti was an Italian mathematician, who contributed to the theory of ordinary differential equations and the development of the comparison method.
Validated numerics, or rigorous computation, verified computation, reliable computation, numerical verification is numerics including mathematically strict error evaluation, and it is one field of numerical analysis. For computation, interval arithmetic is used, and all results are represented by intervals. Validated numerics were used by Warwick Tucker in order to solve the 14th of Smale's problems, and today it is recognized as a powerful tool for the study of dynamical systems.
Roswitha März is a German mathematician known for her research on differential-algebraic systems of equations. She is a professor emeritus of mathematics at the Humboldt University of Berlin.
Michela Redivo-Zaglia is an Italian numerical analyst known for her works on numerical linear algebra and on extrapolation-based acceleration of numerical methods. She is an associate professor in the department of mathematics at the University of Padua.