Periodic integral and pseudodifferential equations with numerical approximation

著者

• Saranen, J. (Jukka)
• Vaĭnikko, G

書誌事項

Periodic integral and pseudodifferential equations with numerical approximation

Jukka Saranen, Gennadi Vainikko

（Springer monographs in mathematics）

Springer, c2002

注記

Includes bibliographical references (p. [441]-448) and index

内容説明・目次

内容説明

An attractive book on the intersection of analysis and numerical analysis, deriving classical boundary integral equations arising from the potential theory and acoustics. This self-contained monograph can be used as a textbook by graduate/postgraduate students. It also contains a lot of carefully chosen exercises.

目次

1 Preliminaries.- 2 Single Layer and Double Layer Potentials.- 3 Solution of Boundary Value Problems by Integral Equations.- 4 Singular Integral Equations.- 5 Boundary Integral Operators in Periodic Sobolev Spaces.- 6 Periodic Integral Equations.- 7 Periodic Pseudodifferential Operators.- 8 Trigonometric Interpolation.- 9 Galerkin Method and Fast Solvers.- 10 Trigonometric Collocation.- 11 Integral Equations on an Open Arc.- 12 Quadrature Methods.- 13 Spline Approximation Methods.

「Nielsen BookData」 より

• NII書誌ID(NCID): BA5432222X
• ISBN:
  • 3540418784
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin
• ページ数/冊数: xi, 452 p.
• 大きさ: 24 cm
• 親書誌ID:
  • BA3386797X