Front tracking for hyperbolic conservation laws

書誌事項

Front tracking for hyperbolic conservation laws

Helge Holden, Nils Henrik Risebro

(Applied mathematical sciences, v. 152)

Springer, c2002

大学図書館所蔵 件 / 40

この図書・雑誌をさがす

注記

Includes bibliographical references (p. [351]-359) and index

内容説明・目次

内容説明

This book presents the theory of hyperbolic conservation laws from basic theory to the forefront of research. The text treats the theory of scalar conservation laws in one dimension in detail, showing the stability of the Cauchy problem using front tracking. The extension to multidimensional scalar conservation laws is obtained using dimensional splitting. The book includes detailed discussion of the recent proof of well-posedness of the Cauchy problem for one-dimensional hyperbolic conservation laws, and a chapter on traditional finite difference methods for hyperbolic conservation laws with error estimates and a section on measure valued solutions.

目次

1. Introduction.- 2. Scalar Conservation Laws.- 3. A Short Course in Difference Methods.- 4. Multidimensional Scalar Conservation Laws.- 5. The Riemann Problem for Systems.- 6. Existence of Solutions of the Cauchy Problem.- 7. Wellposedness of the Cauchy Problem.- Appendix A: Total Variation, Compactedness, etc.- Appendix B: The Method of Vanishing Viscosity.- Appendix C: Answers and Hints.- References.- Index.

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示

詳細情報

  • NII書誌ID(NCID)
    BA58302916
  • ISBN
    • 3540432892
  • LCCN
    2001057674
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York
  • ページ数/冊数
    xi, 363 p.
  • 大きさ
    25 cm
  • 分類
  • 親書誌ID
ページトップへ