OPERATOR SPLITTINGS AND THEIRAPPLICATIONS -- Contents -- Preface -- Introduction -- Operator Splitting: History andMotivation -- Description and Analysis of theOperator 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 theOperator Splittings -- 4.1. Local Error Analysis -- 4.2. Convergence of the Operator Splittings -- 4.3. 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 Comparisons -- 6.3. The Numerical Modeling of Fuel Cells by UsingOperator Splitting -- Conclusion -- References -- INDEX.