Operator splittings and their applications /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Faragó, I. (István)
Otros Autores: Havasiy, Agnes, 1977-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Nova Science Publishers, ©2009.
Colección:Mathematics research developments series.
Temas:
Operator theory.
Splitting extrapolation method.
Decomposition (Mathematics)
Théorie des opérateurs.
Décomposition (Mathématiques)
MATHEMATICS > Functional Analysis.
Operator theory
Splitting extrapolation method
Acceso en línea:Texto completo
Tabla de Contenidos:
  • OPERATOR SPLITTINGS AND THEIRAPPLICATIONS; Contents; Preface; Introduction; Operator Splitting: History and Motivation; Description and Analysis of the Operator Splittings; 3.1. Classical Operator Splittings (Sequential, Strang-Marchuk); 3.2. New Operator Splittings (Weighted Splittings, AdditiveSplittings, Iterated Splittings); 3.2.1. Weighted Sequential Splitting; 3.2.2. Additive Splitting; 3.2.3. Iterated Splitting; 3.3. An Example; 3.4. Active Richardson-Extrapolated Splittings; Further Investigations of the Operator Splittings; 4.1. Local Error Analysis.
  • 4.2. Convergence of the Operator Splittings4.3. Higher-Order Convergence of the Operator Splittings; Numerical Solution of the SplitSub-Problems; 5.1. Combined Discretization Methods; 5.2. Error Analysis of the Combined DiscretizationMethods; The Application of OperatorSplitting to Real-Life Problems; 6.1. Air Pollution Modelling; 6.1.1. Examples of Splitting Procedures for Air Pollution Models; 6.1.2. Some Comments on the Examples; 6.1.3. Numerical Results Obtained by Running UNI-DEM; 6.1.4. A Simplified Air Pollution Model of one Air Column; 6.2. Shallow Water Equations.
  • 6.2.1. Numerical Comparisons6.3. The Numerical Modeling of Fuel Cells by UsingOperator Splitting; Conclusion; References; INDEX.

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