Exact and Truncated Difference Schemes for Boundary Value ODEs

The book provides a comprehensive introduction to compact finite difference methods for solving boundary value ODEs with high accuracy. The corresponding theory is based on exact difference schemes (EDS) from which the implementable truncated difference schemes (TDS) are derived. The TDS are now com...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Gavrilyuk, Ivan (Autor), Hermann, Martin (Autor), Makarov, Volodymyr (Autor), Kutniv, Myroslav V. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2011.
Edición:1st ed. 2011.
Colección:International Series of Numerical Mathematics, 159
Temas:
Differential equations.
Differential Equations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • 1 Introduction and a short historical overview
  • 2 2-point difference schemes for systems of ODEs
  • 3 3-point difference schemes for scalar monotone ODEs
  • 4 3-point difference schemes for systems of monotone ODEs
  • 5 Difference schemes for BVPs on the half-axis
  • 6 Exercises and solutions
  • Index.

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