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Mehrdimensionale Eno-Verfahren: Zur Konstruktion Nichtoszillatorischer Methoden Für Hyberbolische Erhaltungsgleichungen

Mehrdimensionale Eno-Verfahren: Zur Konstruktion Nichtoszillatorischer Methoden Für Hyberbolische Erhaltungsgleichungen

          
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About the Book

All we need is to recover. - K. W. MORToN [103] Nichtlineare hyperbolische Erhaltungsgleichungen beschreiben fundamenta- le Prinzipien in der uns umgebenden Natur und bilden die Basis ganzer Wissenschaftszweige. Die Euler-Gleichungen der Gasdynamik sind ein pro- minentes Beispiel dieser Klasse und nach über 200 Jahren ihres Bekanntwer- dens durch Euler ist die Frage nach der Existenz von Lösungen noch offen. Da die numerische Behandlung grundlegend ist für die Numerik der Navier- Stokessehen Gleichungen, die die reibungsbehaftete kompressible Strömung von Fluiden (inklusive der Turbulenz) beschreiben, kommt der Entwicklung und Analysis numerischer Methoden seit einigen Jahrzehnten eine besondere Rolle zu. Im vorliegenden Buch wird eine moderne Klasse von Algorithmen - die wesentlich nichtoszillatorischen (ENO) Diskretisierungen - auf unstruktu- rierten Gittern untersucht. Unser Hauptaugenmerk liegt dabei auf dem al- gorithmisch aufwendigsten Schritt, der über die Qualität einer solchen Me- thode entscheidet. Es handelt sich dabei um die lokale Rekonstruktion einer Approximation an die Lösung aus gegebenen Zellmitteln. Wir verfolgen die Theorie der Optimalen Rekonstruktion und entwickeln neue Rekonstrukti- onsalgorithmen unter Verwendung radialer Basisfunktionen, die als Splines in Semi-Hilbert-Räumen gewisse Optimalitätseigenschaften aufweisen.


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Product Details
  • ISBN-13: 9783519027249
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Edition: 1997 ed.
  • Language: German
  • Returnable: Y
  • Spine Width: 16 mm
  • Weight: 480 gr
  • ISBN-10: 3519027240
  • Publisher Date: 01 Jan 1997
  • Binding: Paperback
  • Height: 244 mm
  • No of Pages: 291
  • Series Title: Advances in Numerical Mathematics
  • Sub Title: Zur Konstruktion Nichtoszillatorischer Methoden Für Hyberbolische Erhaltungsgleichungen
  • Width: 170 mm


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Mehrdimensionale Eno-Verfahren: Zur Konstruktion Nichtoszillatorischer Methoden Für Hyberbolische Erhaltungsgleichungen
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