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Hans Munthe-Kaas
Hans Zanna Kaas (noble family), Munthe-Kaas (born 28 March 1961) is a Norway, Norwegian mathematician at the University of Bergen, and UiT The Arctic University of Norway working in the area of computational mathematics in the borderland between pure and applied mathematics and computer science. He took his PhD at the Norwegian Institute of Technology in 1989, called to full Professor 1997 and has since 2005 been Professor of Mathematics. Since 2021 he is also working at UiT The Arctic University of Norway in Tromsø where he heads the newly established [Http://WWW.lie-stormer.no Lie-Størmer Center] for fundamental structures in computational and pure mathematics. Research The work of Munthe-Kaas is centred on applications of differential geometry and Lie group techniques in Geometric integrator, geometric integration and structure preserving algorithms for numerical integration of differential equations. A central aspect is the analysis of structure preservation by alge ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Northallerton
Northallerton ( ) is a market town and civil parish in the Hambleton District of North Yorkshire, England. It lies in the Vale of Mowbray and at the northern end of the Vale of York. It had a population of 16,832 in the 2011 census, an increase from 15,741 in 2001. It has served as the county town of the North Riding of Yorkshire and, since 1974, of North Yorkshire. Northallerton is made up of four wards: North, Broomfield, Romanby and Central. There has been a settlement at Northallerton since Roman times; however its growth in importance began in the 11th century when King William II gifted land to the Bishop of Durham. Under the Bishop's authority Northallerton became an important religious centre. Later, it was a focus for much conflict between the English and the Scots, most notably the Battle of the Standard, fought nearby in 1138, which saw losses of as many as 12,000 men. In later years trade and transport became more important. The surrounding area was discovere ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Butcher Group
In mathematics, the Butcher group, named after the New Zealand mathematician John C. Butcher by , is an infinite-dimensional Lie group first introduced in numerical analysis to study solutions of non-linear ordinary differential equations by the Runge–Kutta method. It arose from an algebraic formalism involving rooted trees that provides formal power series solutions of the differential equation modeling the flow of a vector field. It was , prompted by the work of Sylvester on change of variables in differential calculus, who first noted that the derivatives of a composition of functions can be conveniently expressed in terms of rooted trees and their combinatorics. pointed out that the Butcher group is the group of characters of the Hopf algebra of rooted trees that had arisen independently in their own work on renormalization in quantum field theory and Connes' work with Moscovici on local index theorems. This Hopf algebra, often called the ''Connes–Kreimer algebra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Centre International De Mathématiques Pures Et Appliquées
The Centre International de Mathématiques Pures et Appliquées (CIMPA; English: International Centre for Pure and Applied Mathematics) is a category 2 UNESCO centre based in Nice with the mission to promote research in mathematics in developing countries. CIMPA is an association under the 1901 French law on associations Pierre Marie René Ernest Waldeck-Rousseau (; 2 December 184610 August 1904) was a French Republicanism, Republican politician who served as the Prime Minister of France. Early life Pierre Waldeck-Rousseau was born in Nantes, Brittany. His fa ... and is funded by government agencies in France, Norway, Spain, and Switzerland. History Following a recommendation made during the 18th session of the General Conference of UNESCO in Paris in 1974, the creation of CIMPA was decided during the 19th session of the General Conference of UNESCO in Nairobi in 1976. On the initiative of the French Government and a group of founding members (J.P. Aubin, J. Céa, P. Deheu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Abel Prize
The Abel Prize ( ; no, Abelprisen ) is awarded annually by the King of Norway to one or more outstanding mathematicians. It is named after the Norwegian mathematician Niels Henrik Abel (1802–1829) and directly modeled after the Nobel Prizes. It comes with a monetary award of 7.5 million Norwegian kroner (NOK; increased from 6 million NOK in 2019). The Abel Prize's history dates back to 1899, when its establishment was proposed by the Norwegian mathematician Sophus Lie when he learned that Alfred Nobel's plans for annual prizes would not include a prize in mathematics. In 1902, King Oscar II of Sweden and Norway indicated his willingness to finance the creation of a mathematics prize to complement the Nobel Prizes, but the establishment of the prize was prevented by the dissolution of the union between Norway and Sweden in 1905. It took almost a century before the prize was finally established by the Government of Norway in 2001, and it was specifically intended "to give t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Norwegian Academy Of Technological Sciences
The Norwegian Academy of Technological Sciences ( no, Norges Tekniske Vitenskapsakademi, NTVA) is a learned society based in Trondheim, Norway. Founded in 1955, the academy has about 500 members. It is a member of the International Council of Academies of Engineering and Technological Sciences (CAETS) and of the European Council of Applied Sciences and Engineering The European Council of Applied Sciences, Technologies and Engineering (Euro-CASE) is a European non-profit organization, which groups 19 to 20 European national academies of engineering, applied sciences and technology. The organization provides a ... (Euro-CASE). References External linksOfficial site 1955 establishments in Norway National academies of engineering Organisations based in Trondheim Scientific organizations established in 1955 Learned societies of Norway {{Norway-org-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Norwegian Society Of Sciences And Letters
The Royal Norwegian Society of Sciences and Letters ( da, Det Kongelige Norske Videnskabers Selskab, DKNVS) is a Norwegian learned society based in Trondheim. It was founded in 1760 and is Norway's oldest scientific and scholarly institution. The society's Protector is King Harald V of Norway. Its membership consists of no more than 435 members elected for life among the country's most prominent scholars and scientists. The society’s Danish name predates both written standards for Norwegian and has remained unchanged after Norway’s independence from Denmark in 1814 and the spelling reforms of the 20th century. History DKNVS was founded in 1760 by the bishop of Nidaros Johan Ernst Gunnerus, headmaster at the Trondheim Cathedral School Gerhard Schøning and Councillor of State Peter Frederik Suhm under the name ''Det Trondhiemske Selskab'' (the Trondheim Society). From 1761 it published academic papers in a series titled ''Skrifter''. It was the northernmost learned society in th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Norwegian Academy Of Science And Letters
The Norwegian Academy of Science and Letters ( no, Det Norske Videnskaps-Akademi, DNVA) is a learned society based in Oslo, Norway. Its purpose is to support the advancement of science and scholarship in Norway. History The Royal Frederick University in Christiania was established in 1811. The idea of a learned society in Christiania surfaced for the first time in 1841. The city of Trondhjem had no university, but had a learned society, the Royal Norwegian Society of Sciences and Letters, established in 1760. The purpose of a learned society in Christiania was to support scientific studies and aid publication of academic papers. The idea of the Humboldt-inspired university, where independent research stood strong, had taken over for the instrumental view of a university as a means to produce civil servants. The city already had societies for specific professions, for instance the Norwegian Medical Society which was founded in 1833. However, these societies were open for both acad ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Academia Europaea
The Academia Europaea is a pan-European Academy of Humanities, Letters, Law, and Sciences. The Academia was founded in 1988 as a functioning Europe-wide Academy that encompasses all fields of scholarly inquiry. It acts as co-ordinator of European interests in national research agencies. History The concept of a 'European Academy of Sciences' was raised at a meeting in Paris of the European Ministers of Science in 1985. The initiative was taken by the Royal Society (United Kingdom) which resulted in a meeting in London in June 1986 of Arnold Burgen (United Kingdom), Hubert Curien (France), Umberto Colombo (Italy), David Magnusson (Sweden), Eugen Seibold (Germany) and Ruurd van Lieshout (the Netherlands) – who agreed to the need for a new body. The two key purposes of Academia Europaea are: * express ideas and opinions of individual scientists from Europe * act as co-ordinator of European interests in national research agencies It does not aim to replace existing national a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pre-Lie Algebra
In mathematics, a pre-Lie algebra is an algebraic structure on a vector space that describes some properties of objects such as Tree (graph theory), rooted trees and vector fields on affine space. The notion of pre-Lie algebra has been introduced by Murray Gerstenhaber in his work on Deformation theory, deformations of algebras. Pre-Lie algebras have been considered under some other names, among which one can cite left-symmetric algebras, right-symmetric algebras or Vinberg algebras. Definition A pre-Lie algebra (V,\triangleleft) is a vector space V with a bilinear map \triangleleft : V \otimes V \to V, satisfying the relation (x \triangleleft y) \triangleleft z - x \triangleleft (y \triangleleft z) = (x \triangleleft z) \triangleleft y - x \triangleleft (z \triangleleft y). This identity can be seen as the invariance of the associator (x,y,z) = (x \triangleleft y) \triangleleft z - x \triangleleft (y \triangleleft z) under the exchange of the two variables y and z. Every ass ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lie Group Integrators
A Lie group integrator is a numerical integration method for differential equations built from coordinate-independent operations such as Lie group actions on a manifold. They have been used for the animation and control of vehicles in computer graphics and control systems/artificial intelligence research. These tasks are particularly difficult because they feature nonholonomic constraints. See also * Euler integration * Lie group * Numerical methods for ordinary differential equations * Parallel parking problem * Runge–Kutta methods In numerical analysis, the Runge–Kutta methods ( ) are a family of implicit and explicit iterative methods, which include the Euler method, used in temporal discretization for the approximate solutions of simultaneous nonlinear equations. The ... * Variational integrator References {{applied-math-stub Numerical analysis ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
