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Runge Carle:     more detail

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61. People Whose Names Are Embedded In Math Subject Classifcation
    runge SaintVenant Saks Schnirelman Schoenflies Schottky Schrodinger Schubert Andrei (1856-1927) runge, carle (1856-1941) Picard, Emile (1857-1918)  
    http://www.math.niu.edu/~rusin/known-math/98/MSC.names
    
    Extractions: Date: Sun, 6 Jun 1999 12:40:49 +0200 From: "Yuri I. Manin" Date: Thu, 28 Mar 2002 12:43:10 -0800 From: "Antreas P. Hatzipolakis" Cc: rusin@math.niu.edu, a_arakelov@yahoo.co.uk To: hyacinthos@yahoogroups.com Subject: Suren Arekelov This list is devoted to Triangle Geometry. However, from time to time, will be allowed discussions on themes of general interest. Especially when the geometric traffic is not too much. (like this day). Some time ago I asked for information (in fact I FWD-ed an e-mail of D. Rusin) about a notable mathematician who disappeared from the math. horizon. The mathematician is the algebraic geometer Suren Arakelov. Andrei Arakelov has kindly sent the following: > > Date: Thu, 28 Mar 2002 11:29:55 +0000 (GMT) > From: Andrei Arakelov > Subject: Suren Arakelov > To: Antreas P. Hatzipolakis Date: Sat, 05 Feb 2005 11:35:53 +0000 Message-ID:

62. Mathematics Of Computation
    Christian Bischof, Alan carle, Peyvand Khademi, and Andrew Mauer, J. Cash and A. Karp, A variable order rungeKutta method for initial value problems  
    http://www.ams.org/mcom/1999-68-226/S0025-5718-99-01027-3/home.html
    
    Extractions: This article is available free of charge Abstract References Similar articles Additional information Abstract: Automatic differentiation (AD) is a technique for automatically augmenting computer programs with statements for the computation of derivatives. This article discusses the application of automatic differentiation to numerical integration algorithms for ordinary differential equations (ODEs), in particular, the ramifications of the fact that AD is applied not only to the solution of such an algorithm, but to the solution procedure itself. This subtle issue can lead to surprising results when AD tools are applied to variable-stepsize, variable-order ODE integrators. The computation of the final time step plays a special role in determining the computed derivatives. We investigate these issues using various integrators and suggest constructive approaches for obtaining the desired derivatives. References: Martin Berz, Christian Bischof, George Corliss, and Andreas Griewank

63. Seite Erstellt Mit AquaSoftware DiaShow (www.aquasoftware.de)
    Translate this page carle runge. Hermann Schäffer. Heinrich Ferdinand Scherk. Thomas Scherr ? Ludwig Schläfli ? Gustav von Schmoller. Herman Schultz ? Georg Joseph Sidler  
    http://www.math.uni-hamburg.de/home/grothkopf/fotos/math-ges/

64. Fenômenos Científicos Nomeados Após Povos
    runge - carle David Tolmé runge; Fogo do St. Elmo - Saint Elmo; Efeito de Seebeck - Thomas Seebeck  
    http://www.yotor.com/wiki/pt/fe/Fenômenos científicos nomeados após povos.htm
    
    Extractions: Yotor Facts Yotor faits Yotor Tatsachen Yotor hechos ... Yotor ru Esta é uma lista dos fenômenos científicos nomeados após povos Movimento brownian - marrom de Robert Efeito de Casimir - Hendrik Casimir Efeito de Cherenkov - Pavel Alekseyevich Cherenkov Efeito de Coanda - Henri Coanda Efeito de Compton - Arthur Compton Efeito de Coriolis - Gaspard-Gustave Coriolis Ponto do curie - curie de Pierre Efeito de doppler - Doppler christian Efeito de Edison - Thomas Edison Energia de Fermi, paradox de Fermi - enrico Fermi Fenômeno de Gibbs - Josiah Willard Gibbs Efeito de salão - Edwin Salão Efeito de Josephson - Brian David Josephson Camada de Kennelly-Heaviside - Arthur Edwin Kennelly e Oliver Heaviside Efeito de Kerr - John Kerr (físico) Correia De Kuiper - Gerard Kuiper Umedecer do landau - landau de Davidovich do lev Pólo do landau - landau de Davidovich do lev Potencial de Lennard-Jones - John Lennard-Jones Força de Londres - Fritz Londres Força de Lorentz - Hendrik Lorentz Efeito de Meissner (ou efeito de Meissner-Ochsenfeld) - Walter Meissner (e Robert Ochsenfeld) Potencial de Morse - Philip M. Morse

65. Liste Von Eponyms (L-z)
    carle David Tolmé runge - runges Phänomen  
    http://www.yotor.com/wiki/de/li/Liste von eponyms (Lz).htm
    
    Extractions: Yotor Facts Yotor faits Yotor Tatsachen Yotor hechos Ein eponym ist eine Person (real oder erfunden) deren Name mit einem bestimmten Gegenstand oder einer Tätigkeit gekennzeichnet geworden ist. Ist hier eine Liste von eponyms A - K - L - M - N - O - P - Q - R - S - T - U - V - W - X - Z Ferruccio Lamborghini - Gründer, Lamborghini Paul Langerhans - kleine Inseln von Langerhans Lev Davidovich Landauer - Landauerpfosten, Landauerdämpfung Chris Langton - Langtons Ameise Ernest Lawrence - Lawrencium, chemisches Element Alfredo di Lello - Alfredo Soße John Lennard-Jones - Lennard-Jones Potential Jules Léotard - Trikotanzug Leudonus - Lothian Abraham Lincoln - Lincoln Aufzeichnungen; Schiffe USS Abraham Lincoln (Ssbn-602), USS Abraham Lincoln (Cvn-72); Lincoln ist eine Slangbezeichnung für die Vereinigten Staaten Fünfdollarschein Charles Lindbergh, Pilot - Anti-entführengesetz des Lindbergh Gesetzes Josef Linzer - Linzer torte Lisa, Schwester von mattem Groening, Schöpfer des Simpsons - Lisa Simpson, Buchstabe im Simpsons belebte Fernsehapparat Reihe Ignacio de la Llave - Veracruz-Llave Fritz London - London Kraft Huey durchbohren langen, amerikanischen Politiker - Huey, einer "von Huey, von Dewey und von Louie", lebhafte Karikaturbuchstaben

66. Golem.de - Lexikon
    Translate this page Dieser Artikel basiert auf dem Artikel Carl runge aus der freien Enzyklopädie Wikipedia und steht unter der Englische Wikipedia carle David Tolmé runge  
    http://lexikon.golem.de/Carl_Runge
    
    Extractions: News Forum Archiv Markt ... Impressum Lexikon-Suche Lizenz Dieser Artikel basiert auf dem Artikel Carl Runge aus der freien Enzyklopädie Wikipedia und steht unter der GNU Lizenz für freie Dokumentation . In der Wikipedia ist eine Liste der Autoren verfügbar, dort kann man den Artikel bearbeiten Letzte Meldungen Neue Version von Lotus Notes und Domino Spieletest: Dungeon Siege 2 - Schickes Monster-Metzeln ... Originalartikel 30. August in Bremen 3. Januar in ) war ein deutscher Mathematiker auf Bestreben von Felix Klein angewandte Mathematik (die erste dieser Art in Deutschland) berufen. Spektroskopie Martin Wilhelm Kutta das Runge-Kutta-Verfahren zur numerischen Anfangswertproblemen . Bekannt ist auch seine Untersuchung von Interpolationspolynomen Personendaten NAME ALTERNATIVNAMEN KURZBESCHREIBUNG deutscher Matematiker GEBURTSDATUM 30. August GEBURTSORT Bremen STERBEDATUM 3. Januar STERBEORT

67. Max Born - Encyklopedia
    W tym czasie zetknal sie z tak znakomitymi naukowcami jak Felix Klein, David Hilbert, Hermann Minkowski, carle runge?, Karl Schwarzschild?, czy Woldemar  
    http://encyklopedia.korba.pl/wiki/Max_Born
    
    Extractions: Kategorie stron Niemieccy matematycy Niemieccy fizycy Nobliści - fizyka Z Wikipedii, wolnej encyklopedii. Max Born 11 grudnia 5 stycznia niemiecki matematyk i fizyk . Jedyny syn Gustava Borna i Margarete Kauffmann, dziadek australijskiej piosenkarki i aktorki Olivii Newton-John . Urodził się i wychował we Wrocławiu Po ukończeniu Gimnazjum Księcia Wilhelma studiował kolejno na uniwersytetach w Breslau Heidelbergu , i Zurichu . W tym czasie zetknął się z tak znakomitymi naukowcami jak Felix Klein David Hilbert Hermann Minkowski , Carle Runge , Karl Schwarzschild , czy Woldemar Voigt W został wykładowcą uniwersytetu w Getyndze , skąd w przeni³sł się do Uniwersytetu Chicagowskiego . W , po okresie służby wojskowej w armii niemieckiej, został profesorem uniwersytetu we Frankfurcie nad Menem , p³Åºniej, w roku r³wnaniu Schr¶dingera jako gęstości prawdopodobieństwa znalezienia cząstki, za co w roku otrzymał Nagrodę Nobla . Z powodu antysemickiej polityki rządu wyjechał w roku do Cambridge , skąd w przeni³sł się do Uniwersytetu w Edynburgu . Wykładał tam do roku.

68. Encyclopedia: Max Born
    carle David Tolm runge (August 30, 1856 – January 3, 1927) was a German mathematician, physicist, and spectroscopist. Karl Schwarzschild (October 9,  
    http://www.nationmaster.com/encyclopedia/Max-Born
    
    Extractions: Related Articles People who viewed "Max Born" also viewed: Edinburgh University Aage Bohr Felix Bloch Paul Davies ... Peter Higgs What's new? Our next offering Latest newsletter Student area Lesson plans Recent Updates Dong Fangzhuo Disaster recovery Directory Dexdrive ... More Recent Articles Top Graphs Richest Most Murderous Most Taxed Most Populous ... More Stats Updated 4 days 12 hours 52 minutes ago. Other descriptions of Max Born Max Born Max Born (born December 11 in Breslau , died January 5 in G¶ttingen ) was a German mathematician and physicist of Jewish heritage. He won the Nobel Prize in Physics . Born was the only child of Gustav Born and Margarete Kauffmann, and was the father of G. V. R. Born , and the maternal grandfather of British singer and actress Olivia Newton-John . He was one of the 11 signatories to the Russell-Einstein Manifesto Wikipedia does not have an article with this exact name. ... Wikipedia does not have an article with this exact name. ... December 11 is the 345th day (346th in leap years) of the year in the Gregorian calendar. ...

69. Euler's Metode Og Runge-Kutta Metoder (interaktivt)
    Læreren gennemgår 2 ordens rungeKutta s. 128-129. Du kan starte med at læse lidt om carle runge (1856-1927) og Martin Kutta (1867-1944)  
    http://www.frhavn-gym.dk/~st/runge.html
    
    Extractions: Vælg Euler (tangent line) Indtast y i rubrikken for dy/dt Indtast t Indtast y Indtast t Indtast step size h =0.5 Vælg Graph and Data points Klik på "Submit" Udskriv den fremkomne løsning. Sammenlign med tabel 4b og fig. 4c s.125. Tilføj en søjle med e t på udskriften Beregn med lommeregner den relative fejl og angiv den i endnu en søjle. Tabellen afleveres Eksperimenter med mindre værdier for step size Gentag 6-11 med en fornuftig h-værdi og beregn ca. 10 af de relative fejl

70. Carle David Tolm Runge - Article And Reference From OnPedia.com
    Labor MA, mathematisches Kabinett Translate this page Biografie von carle David Tolmé runge. (im Wesentlichen übersetzt aus der Mathematiker- carle David Tolmé runge. geboren. 30. August 1856 in Bremen  
    http://www.onpedia.com/encyclopedia/Carle-David-Tolm-Runge
    
    Extractions: Carle David Tolm Runge August 30 January 3 ) was a German mathematician physicist , and spectroscopist. His first name is very often given as Carl . He was co-developer and co- eponym of the Runge-Kutta method , in the field of what is today known as numerical analysis . He spent the first few years of his life in Havana , where his father Julius Runge was the Danish consul. The family later moved to Bremen , where his father died early (in ). In he received his Ph.D. in mathematics at Berlin , where he studied under Karl Weierstrass . In he became a professor in Hanover . His interests included mathematics, spectroscopy geodesy and astrophysics . In addition to pure mathematics he did a great deal of experimental work studying spectral lines of various elements, and was very interested in the application of this work to astronomical spectroscopy . In he went to , where he remained until he retired in . A crater on the Moon is named after him. See also: Runge, Carle Runge, Carle Runge, Carle Runge, Carle

71. List Of Mathematical Topics (P-R). Who Is List Of Mathematical Topics (P-R)? Wha
    cube Rulerand-compass constructions runge, carle David Tolme runge-Kutta methods runge s phenomenon Run-length encoding Russell,  
    http://www.knowledgerush.com/kr/encyclopedia/List_of_mathematical_topics_(P-R)/
    
    Extractions: for multiplayer games Message boards Post comment See list of mathematical topics for the purpose and extent of this list. A-C D-F G-I J-L ... M-O - P-R - S-U V-Z P-adic analysis P-adic number P-adic numbers P-group ... Pythagoreans Q.E.D. Quadratic equation Quadratic field Quadratic form ... Quotient space RHS Rabin, Michael O. Rader's FFT algorithm Radian ... Repunit Residual: see errors and residuals in statistics Residue (complex analysis) Residue theorem Resonance ... Russell's paradox List of articles by category List of mathematical topics List of mathematical topics (A-C) List of mathematical topics (D-F) ... Lists of articles by category Your Email Address or Pen Name (optional):

72. Scientific_phenomena_named_after_people
    Rayleigh scattering – Lord Rayleigh runge s phenomenon – carle David Tolm? runge St. Elmo s fire – Saint Elmo Seebeck effect – Thomas Seebeck  
    http://copernicus.subdomain.de/Scientific_phenomena_named_after_people

73. Cansad@ De Web Serias, Verdad? RUNGE-KUTTA
    Translate this page 1), Algoritmo runge-Kutta, Metodo numérico para la aproximación de Desarrollado en 1901 por Martin Kutta y publicado posteriormente por carle runge.  
    http://www.uco.es/~i72sagir/

74. Felix Christian Klein *
    Translate this page a cui insegnò Klein a Monaco, ci furono Adolf Hurwitz, Walther von Dyck, Karl Rohn, carle runge, Max Planck, Luigi Bianchi e Gregorio Ricci-Cubastro.  
    http://searchbox.it/Felix_Christian_Klein
    
    Extractions: Cerca su Wikipedia e Open Directory: Felix Christian Klein Düsseldorf Germania 25 aprile Göttingen ... 22 giugno ), matematico tedesco conosciuto soprattutto per i suoi contributi alla geometria non euclidea , ai collegamenti tra geometria e teoria dei gruppi e per alcuni risultati sulla teoria delle funzioni Nato il 25/4/1849, si compiace di mostrare che ogni elemento di questa data è il quadrato di un numero primo (rispettivamente 5, 2 e 43). Klein frequentò il Ginnasio a Düsseldorf. Dopo il diploma entra all'Università di Bonn e vi studia Matematica e Fisica tra il 1865 e il 1866. Aveva iniziato la sua carriera con l'intenzione di diventare un fisico. Nel 1866, mentre era ancora studente universitario, Julius Plücker gli offrì di essere suo assistente di laboratorio. Plucker aveva la cattedra di Matematica e Fisica sperimentale a Bonn, ma il suo interesse iniziava a radicarsi soprattutto nella Geometria. Klein conseguì il suo dottorato nel 1868, sotto la supervisione di Plucker, con una dissertazione intitolata Über die Transformation der allgemeinen Gleichung des zweiten Grades zwischen Linien-Koordinaten auf eine kanonische Form , sulla Geometria e le sue applicazioni alla meccanica. Nella sua dissertazione Klein classifica le curve complesse di secondo grado, usando la teoria di

75. Fenómeno De Runge - Wikipédia
    Translate this page Foi descoberto por carle David Tolmé runge quando investigava o erro na interpolação polinomial. editar. Problema. Considere-se a função  
    http://pt.wikipedia.org/wiki/Fenómeno_de_Rungee
    
    Extractions: A Wikimedia precisa da sua ajuda na campanha para angariar US$ 200.000 (€164.591). Consulte a p¡gina de doa§µes Conseguimos! Foi arrecadado mais de US$220.000. Obrigado pela sua generosidade! (Redirecionado de Fen³meno de Rungee Em matem¡tica , em particular no campo espec­fico da an¡lise num©rica , o fen³meno de Runge © um problema que ocorre quando usando interpola§£o polinomial com polin³mios de ordem elevada. Foi descoberto por Carle David Tolm© Runge quando investigava o erro na interpola§£o polinomial. Editar Considere-se a fun§£o Runge descobriu que se fizermos a interpola§£o desta fun§£o em pontos equidistantes entre -1 e 1 tais que: com u polin³mio P n x que tem grau , a resultante interpola§£o iria oscilar junto  s pontas do intervalo, ou seja, perto de -1 e 1. Pode mesmo ser provado que o erro de interpola§£o tende para infinito quando o grau do polin³mio aumenta: Editar A oscila§£o pode ser minimizada usando o os n³dulos de Chebyshev em vez de n³dulos equidistantes. Neste caso, o erro m¡ximo diminui quando a ordem do polin³mio aumenta.

76. Lista De Matemáticos - Wikipédia
    carle David Tolme runge - da Alemanha - 1856-1927; Bertrand Russell - da Inglaterra - 1872-1970  
    http://pt.wikipedia.org/wiki/Lista_de_matemáticos
    
    Extractions: A Wikimedia precisa da sua ajuda na campanha para angariar US$ 200.000 (€164.591). Consulte a p¡gina de doa§µes Conseguimos! Foi arrecadado mais de US$220.000. Obrigado pela sua generosidade! Matem¡tico : Pessoa que se dedica ao estudo da Matem¡tica . Esta © uma Lista de Matem¡ticos famosos por ordem alfab©tica de sobrenomes: ndice: A B C D ... Editar Editar Charles Babbage - da Inglaterra Alan Baker Stefan Banach - da Pol´nia Grigory Barenblatt Isaac Barrow - da Inglaterra Jakob Bernoulli - da Alemanha Johann Bernoulli - da Alemanha Joseph Louis Francois Bertrand - da Fran§a Friedrich Wilhelm Bessel - da Alemanha Farkos Wolfgang Bolyai - da Rom¢nia Janos Bolyai - da Rom¢nia Bernhard Bolzano - da Boªmia Enrico Bombieri George Boole - da Inglaterra Richard Borcherds Karol Borsuk - da Pol´nia Jean Bourgain Henry Briggs - da Inglaterra L. E. J. Brouwer

77. List Of Mathematicians
    USA, 1932 1999); Klaus Roth (Germany, Britain, 1925 - ); carle David Tolme runge (Germany, 1856 - 1927); Bertrand Russell (Britain, 1872 - 1970)  
    http://www.fact-index.com/l/li/list_of_mathematicians.html
    
    Extractions: Main Page See live article Alphabetical index The famous mathematicians are listed below in English alphabetical transliteration order (by surname A B C ... Z Charles Babbage (United Kingdom, John Baez Alan Baker (Britain, Stefan Banach (Poland, Grigory Isaakovich Barenblatt (Russia, USA, Isaac Barrow (England, Thomas Bayes (England, Eric Temple Bell (Scotland, USA, Jakob Bernoulli (Switzerland, Johann Bernoulli (Switzerland, Joseph Louis Francois Bertrand (France, Friedrich Wilhelm Bessel (Germany

78. Carle David Tolmé Runge - Education - Information - Educational Resources - Enc
    M. Fagan, Edwards, C. Verifying a rungeKutta Solver Using ADOL-C. Rice  
    http://www.music.us/education/C/Carle-David-Tolmé-Runge.htm
    
    Extractions: Shopping Stores Auctions Audio Electronics Books Business ... Partners 10 results 20 results 30 results 50 results Carle David Tolmé Runge August 30 January 3 ) was a German mathematician physicist , and spectroscopist. His first name is very often given as Carl He was co-developer and co- eponym of the Runge-Kutta method , in the field of what is today known as numerical analysis He spent the first few years of his life in Havana , where his father Julius Runge was the Danish consul. The family later moved to Bremen , where his father died early (in In he received his Ph.D. in mathematics at Berlin , where he studied under Karl Weierstrass . In he became a professor in Hanover His interests included mathematics, spectroscopy geodesy and astrophysics . In addition to pure mathematics he did a great deal of experimental work studying spectral line s of various elements, and was very interested in the application of this work to astronomical spectroscopy In A crater on the Moon is named after him. See also:

79. Wikipedia:Matemáticos: Biografías Solicitadas - Wikipedia
    Estados Unidos, 19321999); Roth, Klaus Roth (Alemania, Gran Bretaña, 1925-); runge, carle David Tolme runge (Alemania, 1856-1927). editar  
    http://es.wikipedia.org/wiki/Lista_de_matemáticos
    
    Extractions: Wikimedia necesita de tu ayuda en su campa±a para recolectar USD$ 200.000 . V©ase nuestra p¡gina de recolecci³n de fondos para m¡s detalles. (Redirigido desde Lista de matem¡ticos Aqu­ aparecen los matem¡ticos que por cualquier raz³n todav­a no tienen una biograf­a en la Wikipedia. Ver Categor­a:Matem¡ticos Si quieres cooperar con la Wikipedia, si ves un enlace azul, puedes borrarlo de esta lista. Si quieres hacer las cosas muy bien, por favor verifica que el matem¡tico que est¡s borrando de aqu­ tenga incluido [[Categor­a:Matem¡ticos]].

80. Martin Wilhelm Kutta - Wikipedia
    Translate this page En 1901, desarrollo en colaboración con carle David Tolmé runge, el método runge-Kutta para resolver ecuaciones diferenciales ordinarias.  
    http://es.wikipedia.org/wiki/Martin_Wilhelm_Kutta
    
    Extractions: Wikimedia necesita de tu ayuda en su campa±a para recolectar USD$ 200.000 . V©ase nuestra p¡gina de recolecci³n de fondos para m¡s detalles. Martin Wilhelm Kutta 3 de noviembre de 25 de diciembre de f­sico y matem¡tico alem¡n Kutta naci³ en Pitschen, Silesia (en la actualidad pertenece a Polonia ). Asisti³ a la Universidad de Breslau de a . Continºo sus estudios en Munich hasta , donde se convirti³ en asistente del Prof. von Dyck, eminente matem¡tico alem¡n. En , paso un a±o en la Universidad de Cambridge . Kutta se convirti³ en profesor en la Universidad de Stuttgart en , plaza que ocup³ hasta su retiro en En 1901, desarrollo en colaboraci³n con Carle David Tolm© Runge, el m©todo Runge-Kutta para resolver ecuaciones diferenciales ordinarias. Ser¡ recordado tambi©n por el m©todo Zhukovsky-Kutta. Kutta muri³ en F¼rstenfeldbruck, Alemania. editar Este art­culo es, por ahora, s³lo un esbozo sobre biograf­as Ampli¡ndolo ayudar¡s a mejorar Wikipedia

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