Additive operator-difference schemes : splitting schemes

著者

• Vabishchevich, P. N. (Petr Nikolaevich)

書誌事項

Additive operator-difference schemes : splitting schemes

Petr N. Vabishchevich

De Gruyter, c2014

注記

Includes bibliographical references and index

内容説明・目次

内容説明

Applied mathematical modeling is concerned with solving unsteady problems. Splitting schemes are attributed to the transition from a complex problem to a chain of simpler problems. This book shows how to construct additive difference schemes (splitting schemes) to solve approximately unsteady multi-dimensional problems for PDEs. Two classes of schemes are highlighted: methods of splitting with respect to spatial variables (alternating direction methods) and schemes of splitting into physical processes. Also regionally additive schemes (domain decomposition methods) and unconditionally stable additive schemes of multi-component splitting are considered for evolutionary equations of first and second order as well as for systems of equations. The book is written for specialists in computational mathematics and mathematical modeling. All topics are presented in a clear and accessible manner.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB18019553
• ISBN:
  • 9783110321432
• 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: xvi, 354 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA378
  • DC23 : 515/.724
• 件名:
  • LCSH : Initial value problems
  • LCSH : Boundary value problems
  • LCSH : Differential operators
  • LCSH : Mathematical models