Exponential representation for differential equations
In mathematics and physics, the Magnus expansion, named after Wilhelm Magnus (1907–1990), provides an exponential representation of the product integral solution of a first-order homogeneous linear differential equation for a linear operator. In particular, it furnishes the fundamental matrix of a system of linear ordinary differential equations of order n with varying coefficients. The exponent is aggregated as an infinite series, whose terms involve multiple integrals and nested commutators.
In mathematics and physics, the Magnusexpansion, named after Wilhelm Magnus (1907–1990), provides an exponential representation of the product integral...
( s ) d s {\displaystyle \int _{a}^{t}\mathbf {A} (s)ds} then the Magnusexpansion reduces to leading order, and the general solution to the differential...
Hans Heinrich Wilhelm Magnus known as Wilhelm Magnus (5 February 1907 in Berlin, Germany – 15 October 1990 in New Rochelle, New York) was a German-American...
Magnus Eriksson (April or May 1316 – 1 December 1374) was King of Sweden from 1319 to 1364, King of Norway as Magnus VII from 1319 to 1355, and ruler...
Magnus Magnusson, KBE (born Magnús Sigursteinsson; 12 October 1929 – 7 January 2007) was an Icelandic-born British-based journalist, translator, writer...
exponential. The Magnusexpansion provides one technique for computing the Volterra integral. Examples include the Dyson expansion, the integrals that...
frequently in physics for example in quantum field theory, as in the Magnusexpansion in perturbation theory, and in lattice gauge theory. Throughout, the...
use either a numerical method, or an approximation method such as Magnusexpansion. Knowing the matrix U, the general solution of the non-homogeneous...
the adductor magnus is considered a muscle of the posterior compartment of the thigh while the pubofemoral portion of the adductor magnus is considered...
the curvature tensor. Path-ordering (essentially the same concept) Magnusexpansion Product integral Haar measure List of derivatives and integrals in...
Viking expansion was the historical movement which led Norse explorers, traders and warriors, the latter known in modern scholarship as Vikings, to sail...
trouble while attempting to discover Magnus' birthday. In addition to these and other battles with Cyclonus, Magnus also found himself facing Galvatron...
is the second book in the Magnus Chase and the Gods of Asgard series and was released on October 4, 2016. In this book, Magnus receives a quest from Otis...
renamed in his honor (English: Vytautas Magnus University, Latin: Universitas Vytauti Magni). In 1940, Vytautas Magnus University contributed to the reestablishment...
1145/2851613.2851696 Sahlgren, Magnus, Jussi Karlgren, Rickard Cöster, and Timo Järvinen. 2003. "Automatic query expansion using random indexing." In Advances...
John William Ferrell (/ˈfɛrəl/; born July 16, 1967) is an American actor, comedian, writer, and producer. Ferrell is known for his leading man roles in...
use his first given name, and was known throughout his life as Gustav Magnus. Magnus was born in Berlin to a Jewish family, his father a wealthy merchant...
International Crisis Group. 17 November 2016. Magnus Ranstorp; Filip Ahlin; Peder Hyllengren; Magnus Normark (2018). Mellan salafism och salafistisk...
Magnusson, Magnus (1976)Viking, Hammer of the North (Putnam) Magnus Magnusson ISBN 978-0-399-11744-2 Magnusson, Magnus (1979) Viking expansion westwards...
and the divergence problem is naturally avoided. To the lowest-order Magnusexpansion for Floquet system, the quantum phase space interaction of two particles...
Great"). In modern German, he is known as Karl der Große. The Latin epithet magnus ("great") may have been associated with him during his lifetime, but this...
Donatus Magnus, also known as Donatus of Casae Nigrae, was the leader of a schismatic Christian sect known as the Donatists in North Africa, Algeria. He...
physics, the Dyson series, formulated by Freeman Dyson, is a perturbative expansion of the time evolution operator in the interaction picture. Each term can...