Numerische Mathematik

Last updated

Related Research Articles

zbMATHOpen, formerly Zentralblatt MATH, is a major reviewing service providing reviews and abstracts for articles in pure and applied mathematics, produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Information Infrastructure GmbH. Editors are the European Mathematical Society, FIZ Karlsruhe, and the Heidelberg Academy of Sciences. zbMATH is distributed by Springer Science+Business Media. It uses the Mathematics Subject Classification codes for organising reviews by topic.

<span class="mw-page-title-main">Lothar Collatz</span> German mathematician

Lothar Collatz was a German mathematician, born in Arnsberg, Westphalia.

<span class="mw-page-title-main">Grace Wahba</span> American statistician

Grace Goldsmith Wahba is an American statistician and now-retired I. J. Schoenberg-Hilldale Professor of Statistics at the University of Wisconsin–Madison. She is a pioneer in methods for smoothing noisy data. Best known for the development of generalized cross-validation and "Wahba's problem", she has developed methods with applications in demographic studies, machine learning, DNA microarrays, risk modeling, medical imaging, and climate prediction.

<span class="mw-page-title-main">Stefan Bergman</span> American mathematician

Stefan Bergman was a Congress Poland-born American mathematician whose primary work was in complex analysis. His name is also written Bergmann; he dropped the second "n" when he came to the U. S. He is best known for the kernel function he discovered while at University of Berlin in 1922. This function is known today as the Bergman kernel. Bergman taught for many years at Stanford University, and served as an advisor to several students.

In mathematics, in particular numerical analysis, the FETI method is an iterative substructuring method for solving systems of linear equations from the finite element method for the solution of elliptic partial differential equations, in particular in computational mechanics In each iteration, FETI requires the solution of a Neumann problem in each substructure and the solution of a coarse problem. The simplest version of FETI with no preconditioner in the substructure is scalable with the number of substructures but the condition number grows polynomially with the number of elements per substructure. FETI with a preconditioner consisting of the solution of a Dirichlet problem in each substructure is scalable with the number of substructures and its condition number grows only polylogarithmically with the number of elements per substructure. The coarse space in FETI consists of the nullspace on each substructure.

<span class="mw-page-title-main">Tony F. Chan</span> Chinese American mathematician

Tony Fan-Cheong Chan is a Chinese American mathematician who has been serving as President of the King Abdullah University of Science and Technology (KAUST) since 2018. Prior that, he was President of the Hong Kong University of Science and Technology from 2009 to 2018.

Peter Wynn (1931—2017) was an English mathematician. His main achievements concern approximation theory – in particular the theory of Padé approximants – and its application in numerical methods for improving the rate of convergence of sequences of real numbers.

<span class="mw-page-title-main">Heinz Rutishauser</span> Swiss mathematician and computer scientist (1918-70)

Heinz Rutishauser was a Swiss mathematician and a pioneer of modern numerical mathematics and computer science.

<i>Acta Numerica</i> Academic journal

Acta Numerica is a mathematics journal publishing research on numerical analysis. It was established in 1992 to publish widely accessible summaries of recent advances in the field. One volume is published each year, consisting of review and survey articles from authors invited by the journal's editorial board.

Archiv der Mathematik is a peer-reviewed mathematics journal published by Springer, established in 1948.

<span class="mw-page-title-main">Peter Henrici (mathematician)</span> Swiss mathematician

Peter Karl Henrici was a Swiss mathematician best known for his contributions to the field of numerical analysis.

<span class="mw-page-title-main">Frank Natterer</span> German mathematician

Frank Natterer is a German mathematician. He was born in Wangen im Allgäu, Germany. Natterer pioneered and shaped the field of mathematical methods in imaging including computed tomography (CT), magnetic resonance imaging (MRI) and ultrasonic imaging.

<span class="mw-page-title-main">Josef Stoer</span>

Josef Stoer is a German mathematician specializing in numerical analysis and professor emeritus of the Institut für Mathematik of Universität Würzburg.

<span class="mw-page-title-main">Olivier Pironneau</span> French mathematician

Olivier Pironneau is a French mathematician who is a professor at the Université Pierre et Marie Curie and member of the French Academy of Sciences.

<span class="mw-page-title-main">Franco Brezzi</span> Italian mathematician

Franco Brezzi is an Italian mathematician.

<span class="mw-page-title-main">Barbara Wohlmuth</span> German mathematician

Barbara I. Wohlmuth is a German mathematician specializing in the numerical solution of partial differential equations. She holds the chair of numerical mathematics at the Technical University of Munich (TUM).

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.

<span class="mw-page-title-main">Volker Mehrmann</span> German mathematician (born 1955)

Volker Ludwig Mehrmann is a German mathematician.

Beresford Neill Parlett is an English applied mathematician, specializing in numerical analysis and scientific computation.

References

  1. "Numerische Mathematik". 2020 Journal Citation Reports. Web of Science (Science ed.). Thomson Reuters. 2021.