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Josef Stoer
Josef Stoer (born 21 June 1934) is a German mathematician specializing in numerical analysis and professor emeritus of the Institut für Mathematik of Universität Würzburg. Stoer was born in Meschede, and earned his Ph.D. in 1961 at Johannes Gutenberg-Universität Mainz under Friedrich Ludwig Bauer and Klaus Samelson. He has advised over 20 doctoral students. He is the author (with Roland Bulirsch) of ''Introduction to Numerical Analysis'', a standard reference for the theory of numerical methods Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods t .... He has an honorary doctorate from the University of Augsburg (2007) and the Technical University of Munich (1997) and is a member of the Bavarian Academy of Sciences (1981). The Bulirsch–Stoer algorithm is named after him and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Meschede
Meschede () is a town in the Hochsauerland district, in North Rhine-Westphalia, Germany. It is the capital of the district Hochsauerlandkreis. Education One of the five branches of South Westphalia University of Applied Sciences (also: Fachhochschule Südwestfalen (FH SWF)) is located here. Geography Meschede is situated in the Ruhr (river), Ruhr valley, near to the Hennesee, south of the nature-park Arnsberger Wald. Major towns in the vicinity of Meschede are Paderborn (51 km), Kassel (85 km), Siegen (57 km), Hagen, Dortmund (60 km) and Hamm, North Rhine-Westphalia, Hamm (49 km). Neighbouring municipalities * Arnsberg * Bestwig * Eslohe * Schmallenberg * Sundern * Warstein Division of the town After the local government reforms of 1975 Meschede consists of these districts and villages: History Meschede was founded as a settlement around a convent, the ''Walpurgis-Stift'' , in the 10th century. In 1572, it became a member of the Hanseatic Leagu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematical model, models, and mathematics#Calculus and analysis, change. History One of the earliest known mathematicians was Thales of Miletus (); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem. The number of known mathematicians grew when Pythagoras of Samos () established the Pythagorean school, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman math ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 to find 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 like economics, 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 simulati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Johannes Gutenberg-Universität Mainz
The Johannes Gutenberg University Mainz () is a public research university in Mainz, Rhineland Palatinate, Germany. It has been named after the printer Johannes Gutenberg since 1946. it had approximately 32,000 students enrolled in around 100 academic programs. The university is organized into 11 faculties. The university is a member of the German U15, a group of fifteen major research and medical universities in Germany. It also participates in the IT-Cluster Rhine-Main-Neckar and forms part of the Rhine-Main-Universities (RMU) along with Goethe University Frankfurt and Technische Universität Darmstadt. Founded in 1477, it is one of the oldest universities in Europe and one of the most prestigious in Germany. Faculties The Johannes Gutenberg University Mainz is divided in ten faculties since 07 April 2024. * Faculty of Catholic and Protestant Theology * Faculty of Social Sciences, Media, and Sports * Faculty of Law, Management, and Economics * University Medicine * Fac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Friedrich Ludwig Bauer
Friedrich Ludwig "Fritz" Bauer (10 June 1924 – 26 March 2015) was a German pioneer of computer science and professor at the Technical University of Munich. Life Bauer earned his Abitur in 1942 and served in the Wehrmacht during World War II, from 1943 to 1945. From 1946 to 1950, he studied mathematics and theoretical physics at Ludwig-Maximilians-Universität in Munich. Bauer received his Doctor of Philosophy (Ph.D.) under the supervision of Fritz Bopp for his thesis ''Gruppentheoretische Untersuchungen zur Theorie der Spinwellengleichungen'' ("Group-theoretic investigations of the theory of spin wave equations") in 1952. He completed his habilitation thesis ''Über quadratisch konvergente Iterationsverfahren zur Lösung von algebraischen Gleichungen und Eigenwertproblemen'' ("On quadratically convergent iteration methods for solving algebraic equations and eigenvalue problems") in 1954 at the Technical University of Munich. After teaching as a ''privatdozent'' at the Lud ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Klaus Samelson
Klaus Samelson (21 December 1918 – 25 May 1980) was a German mathematician, physicist, and computer pioneer in the area of programming language translation and push-pop stack algorithms for sequential formula translation on computers. Early life He was born in Strasbourg, Alsace-Lorraine, and he lived in Breslau in his early childhood years. His elder brother was the mathematician Hans Samelson. Due to political circumstances, he waited until 1946 to study mathematics and physics at the Ludwig Maximilian University of Munich in Munich. Career After graduating, he worked briefly as a high school teacher before he returned to university. In 1951, he completed his Doctor of Philosophy (Ph.D.) in physics with Friedrich Bopp (Fritz) with a dissertation on a quantum mechanics problem posed by Arnold Sommerfeld related to unipolar induction. Samelson became interested in numerical analysis, and when Hans Piloty, an electrical engineer, and Robert Sauer, a professor of mathe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Professor Emeritus
''Emeritus/Emerita'' () is an honorary title granted to someone who retirement, retires from a position of distinction, most commonly an academic faculty position, but is allowed to continue using the previous title, as in "professor emeritus". In some cases, the term is conferred automatically upon all persons who retire at a given rank, but in others, it remains a mark of distinguished performance (usually in the area of research) awarded selectively on retirement. It is also used when a person of distinction in a profession retires or hands over the position, enabling their former rank to be retained in their title. The term ''emeritus'' does not necessarily signify that a person has relinquished all the duties of their former position, and they may continue to exercise some of them. In descriptions of deceased professors emeriti listed at U.S. universities, the title ''emeritus'' is replaced by an indication of the years of their appointments, except in Obituary, obituaries, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Roland Bulirsch
Roland Zdeněk Bulirsch (10 November 1932 – 21 September 2022) was a German mathematician specialising in numerical analysis. He studied and taught at the Technical University of Munich, and taught internationally as visiting professor. He was co-author of the reference book ''Introduction to Numerical Analysis'', and president of the edition of the works by Johannes Kepler. He received honorary doctorates from international universities, and several awards. Life and career Bulirsch was born in Liberec (Reichenberg) on 10 November 1932. He had to leave Czechoslovakia in 1946. In 1947, he became an apprentice as a machinist with Siemens-Schuckert in Nuremberg, completing in 1951. He achieved the Abitur in Nördlingen in 1954, and then studied mathematics and physics at the Technical University of Munich to 1959, earning his Ph.D. there in 1961, supervised by Klaus Samelson, and his habilitation in mathematics in 1965. He taught as associated professor at the University of Ca ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numerical Methods
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt to find 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 like economics, 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 cells in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Technical University Of Munich
The Technical University of Munich (TUM or TU Munich; ) is a public research university in Munich, Bavaria, Germany. It specializes in engineering, technology, medicine, and applied and natural sciences. Established in 1868 by King Ludwig II of Bavaria, the university now has additional campuses in Garching, Freising, Heilbronn, Straubing, and Singapore, with the Garching campus being its largest. The university is organized into seven schools, and is supported by numerous research centers. It is one of the largest universities in Germany, with 52,931 students and an annual budget of €1,892.9 million including the university hospital. A ''University of Excellence'' under the German Universities Excellence Initiative, TUM is among the leading universities in the European Union. Its researchers and alumni include 18 Nobel laureates and 24 Leibniz Prize winners. History 19th century In 1868, King Ludwig II of Bavaria founded the ''Polytechnische Schule München'' w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bulirsch–Stoer Algorithm
In numerical analysis, the Bulirsch–Stoer algorithm is a method for the numerical solution of ordinary differential equations which combines three powerful ideas: Richardson extrapolation, the use of rational function extrapolation in Richardson-type applications, and the modified midpoint method, to obtain numerical solutions to ordinary differential equations (ODEs) with high accuracy and comparatively little computational effort. It is named after Roland Bulirsch and Josef Stoer. It is sometimes called the Gragg–Bulirsch–Stoer (GBS) algorithm because of the importance of a result about the error function of the modified midpoint method, due to William B. Gragg. Underlying ideas The idea of Richardson extrapolation is to consider a numerical calculation whose accuracy depends on the used stepsize ''h'' as an (unknown) analytic function of the stepsize ''h'', performing the numerical calculation with various values of ''h'', fitting a (chosen) analytic function to the resu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
