Front Tracking for Hyperbolic Conservation Laws (Applied Mathematical Sciences)
暫譯: 超曲線保守律的前追蹤法(應用數學科學)

Helge Holden, Nils Henrik Risebro

  • 出版商: Springer
  • 出版日期: 2011-10-09
  • 售價: $3,000
  • 貴賓價: 9.5$2,850
  • 語言: 英文
  • 頁數: 361
  • 裝訂: Paperback
  • ISBN: 3642239102
  • ISBN-13: 9783642239106
  • 相關分類: Amazon Web Services
  • 海外代購書籍(需單獨結帳)

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商品描述

Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numerical method. The multidimensional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included. From the reviews: "It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style". D. Serre, MathSciNet "I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for a one-semester graduate course". S. Noelle, Book review, German Math. Soc. "Making it an ideal first book for the theory of nonlinear partial differential equations . . . an excellent reference for a graduate course on nonlinear conservation laws". M. Laforest, Comp. Phys. Comm.

商品描述(中文翻譯)

雙曲保守律在非線性偏微分方程的理論以及科學與技術中佔有核心地位。本書提供了一個自成體系的介紹,使用前追蹤法(front tracking),這也是一種數值方法。多維標量情況和線上系統的情況都被詳細處理。本書還包含了一章有關有限差分的內容。來自評價的評論:「這已經是該主題中為數不多的最佳摘要之一。本書在理論與實踐之間達成了優秀的妥協。學生們會欣賞這種生動而準確的風格。」D. Serre, MathSciNet。「我非常愉快地閱讀了這本書,並且可以推薦給專家和學生。它也可以作為一個可靠且非常激動人心的基礎,用於一學期的研究生課程。」S. Noelle, 書評,德國數學學會。「使其成為非線性偏微分方程理論的理想入門書籍……是非線性保守律研究生課程的優秀參考資料。」M. Laforest, Comp. Phys. Comm.

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