Wolfgang Dahmen
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Wolfgang Dahmen
Wolfgang Dahmen (born 19 October 1949) is a German mathematician working in approximation theory, numerical analysis, and partial differential equations. In 2002 he was awarded the Gottfried Wilhelm Leibniz Prize and in 2011 the Gauss Lectureship. He was also a taekwondo athlete. He has been the Chair of the Society for the Foundations of Computational Mathematics (2014–). In 2019 he was named a SIAM Fellow The SIAM Fellowship is an award and fellowship that recognizes outstanding members of the Society for Industrial and Applied Mathematics (SIAM). The goal of the program is to: *honor SIAM members who are recognized by their peers as distinguished ... "for contributions to numerical methods for partial differential equations, signal processing, and learning". References Further readingMultiscale, Nonlinear and Adaptive Approximation: Dedicated to Wolfgang Dahmen on the Occasion of His 60th Birthday Ronald DeVore, Angela Kunoth, Springer, 2009, Homepage at Institut f ...
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Wolfgang Dahmen
Wolfgang Dahmen (born 19 October 1949) is a German mathematician working in approximation theory, numerical analysis, and partial differential equations. In 2002 he was awarded the Gottfried Wilhelm Leibniz Prize and in 2011 the Gauss Lectureship. He was also a taekwondo athlete. He has been the Chair of the Society for the Foundations of Computational Mathematics (2014–). In 2019 he was named a SIAM Fellow The SIAM Fellowship is an award and fellowship that recognizes outstanding members of the Society for Industrial and Applied Mathematics (SIAM). The goal of the program is to: *honor SIAM members who are recognized by their peers as distinguished ... "for contributions to numerical methods for partial differential equations, signal processing, and learning". References Further readingMultiscale, Nonlinear and Adaptive Approximation: Dedicated to Wolfgang Dahmen on the Occasion of His 60th Birthday Ronald DeVore, Angela Kunoth, Springer, 2009, Homepage at Institut f ...
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Approximation Theory
In mathematics, approximation theory is concerned with how function (mathematics), functions can best be approximation, approximated with simpler functions, and with quantitative property, quantitatively characterization (mathematics), characterizing the approximation error, errors introduced thereby. Note that what is meant by ''best'' and ''simpler'' will depend on the application. A closely related topic is the approximation of functions by generalized Fourier series, that is, approximations based upon summation of a series of terms based upon orthogonal polynomials. One problem of particular interest is that of approximating a function in a computer mathematical library, using operations that can be performed on the computer or calculator (e.g. addition and multiplication), such that the result is as close to the actual function as possible. This is typically done with polynomial or Rational function, rational (ratio of polynomials) approximations. The objective is to make t ...
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Numerical Analysis
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic computation, symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt at finding approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences, medicine, business and even the arts. Current growth in computing power has enabled the use of more complex numerical analysis, providing detailed and realistic mathematical models in science and engineering. Examples of numerical analysis include: ordinary differential equations as found in celestial mechanics (predicting the motions of planets, stars and galaxies), numerical linear algebra in data analysis, and stochastic differential equations and Markov chains for simulating living ce ...
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Partial Differential Equations
In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similarly to how is thought of as an unknown number to be solved for in an algebraic equation like . However, it is usually impossible to write down explicit formulas for solutions of partial differential equations. There is, correspondingly, a vast amount of modern mathematical and scientific research on methods to numerically approximate solutions of certain partial differential equations using computers. Partial differential equations also occupy a large sector of pure mathematical research, in which the usual questions are, broadly speaking, on the identification of general qualitative features of solutions of various partial differential equations, such as existence, uniqueness, regularity, and stability. Among the many open questions are the e ...
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Gottfried Wilhelm Leibniz Prize
The Gottfried Wilhelm Leibniz Prize (german: link=no, Förderpreis für deutsche Wissenschaftler im Gottfried Wilhelm Leibniz-Programm der Deutschen Forschungsgemeinschaft), in short Leibniz Prize, is awarded by the German Research Foundation to "exceptional scientists and academics for their outstanding achievements in the field of research". Since 1986, up to ten prizes are awarded annually to individuals or research groups working at a research institution in Germany or at a German research institution abroad. It is considered the most important research award in Germany. The prize is named after the German polymath and philosopher Gottfried Wilhelm Leibniz (1646–1716). It is one of the highest endowed research prizes in Germany with a maximum of €2.5 million per award. Past prize winners include Stefan Hell (2008), Gerd Faltings (1996), Peter Gruss (1994), Svante Pääbo (1992), Theodor W. Hänsch (1989), Erwin Neher (1987), Bert Sakmann (1987), Jürgen Habermas (1986), ...
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Gauss Lectureship
The Gauss Lectureship (''Gauß-Vorlesung'') is an annually awarded mathematical distinction, named in honor of Carl Friedrich Gauss. It was established in 2001 by the German Mathematical Society with a series of lectures for a broad audience. Each Gauss Lecture is paired with another presentation on the history of mathematics The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments .... Gauss Lecturers See also * List of mathematics awards References External links Gauss Lectureship Archive of the Gauss Lectureship{{Webarchive, url=https://web.archive.org/web/20150913071416/http://dmv.mathematik.de/index.php/aktivitaeten/gauss-vorlesung/archiv-der-gauss-vorlesungen , date=2015-09-13 German science and technology awards Mathematics awards Carl Friedrich Gauss Lecture series ...
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Taekwondo
''Taekwondo'', ''Tae Kwon Do'' or ''Taekwon-Do'' (; ko, 태권도/跆拳道 ) is a Korean form of martial arts involving punching and kicking techniques, with emphasis on head-height kicks, spinning jump kicks, and fast kicking techniques. The literal translation for tae kwon do is "kicking", "punching", and "the art or way of". They are a kind of martial arts in which one attacks or defends with hands and feet anytime or anywhere, with occasional use of weapons. The physical training undertaken in Taekwondo is purposeful and fosters strength of mind through mental armament. Taekwondo practitioners wear a uniform, known as a dobok. It is a combat sport and was developed during the 1940s and 1950s by Korean martial artists with experience in martial arts such as karate, Chinese martial arts, and indigenous Korean martial arts traditions such as Taekkyon, Subak, and Gwonbeop. The oldest governing body for Taekwondo is the Korea Taekwondo Association (KTA), formed in 1959 th ...
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Foundations Of Computational Mathematics
Foundations of Computational Mathematics (FoCM) is an international nonprofit organization that supports and promotes research at the interface of mathematics and computation. It fosters interaction among mathematics, computer science, and other areas of computational science through conferences, events and publications. Aim FoCM aims to explore the relationship between mathematics and computation, focusing both on the search for mathematical solutions to computational problems and computational solutions to mathematical problems. Topics of central interest in the Society include but are not restricted to: *Approximation Theory *Computational Algebraic Geometry *Computational Dynamics *Computational Harmonic Analysis, Image, and Signal Processing *Computational Number Theory *Computational Topology and Geometry *Continuous Optimization * Foundations of Numerical PDE's * Geometric Integration and Computational Mechanics *Graph Theory and Combinatorics * Information-based Complexi ...
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SIAM Fellow
The SIAM Fellowship is an award and fellowship that recognizes outstanding members of the Society for Industrial and Applied Mathematics (SIAM). The goal of the program is to: *honor SIAM members who are recognized by their peers as distinguished for their contributions to the discipline *help make outstanding SIAM members more competitive for awards and honors when they are being compared with colleagues from other disciplines *support advancement of SIAM members to leadership positions in their own institutions and in the broader society See also *Fellows of the Society for Industrial and Applied Mathematics Fellows may refer to Fellow, in plural form. Fellows or Fellowes may also refer to: Places * Fellows, California, USA * Fellows, Wisconsin, ghost town, USA Other uses * Fellows Auctioneers, established in 1876. *Fellowes, Inc., manufacturer of wo ... * List of mathematics awards References {{Society for Industrial and Applied Mathematics Fellows of learned societies ...
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Angela Kunoth
Angela Kunoth (born 22 June 1963) is a German mathematician specializing in the numerical analysis of partial differential equations. She is a professor of mathematics at the University of Cologne, and the editor-in-chief of '' SIAM Journal on Numerical Analysis''. Education and career Kunoth studied mathematics at Bielefeld University beginning in 1982, and earned a diploma there in 1990. After visiting the University of South Carolina as a Fulbright Scholar, she completed a doctorate ( Dr. rer. nat.) at the Free University of Berlin in 1994. Her dissertation, ''Multilevel Preconditioning'', was supervised by Wolfgang Dahmen. After research positions at SINTEF in Norway, at the Weierstrass Institute in Berlin, at Texas A&M University, and at RWTH Aachen University, she became an associate professor at the University of Bonn in 1999, and earned a habilitation through RWTH Aachen in 2000 with the habilitation thesis ''Wavelet Methods for Minimization Problems Involving Ellipt ...
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21st-century German Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius ( AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman em ...
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