Exact and Truncated Difference Schemes for Boundary Value ODEs

• Κύριοι συγγραφείς: Gavrilyuk, Ivan (Συγγραφέας), Hermann, Martin (Συγγραφέας), Makarov, Volodymyr (Συγγραφέας), Kutniv, Myroslav V. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel, 2011.
• Σειρά: International Series of Numerical Mathematics ; 159
• Θέματα: Mathematics.; Differential equations.; Ordinary Differential Equations.

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...

Πίνακας περιεχομένων:

• 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.