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Operator splittings and their applications / Istvan Farago and Agnes Havasiy.
- Format:
- Book
- Author/Creator:
- Faragó, I. (István)
- Series:
- Mathematics research developments series.
- Mathematics research developments series
- Language:
- English
- Subjects (All):
- Operator theory.
- Splitting extrapolation method.
- Decomposition (Mathematics).
- Physical Description:
- 1 online resource (122 p.)
- Edition:
- 1st ed.
- Place of Publication:
- New York : Nova Science Publishers, c2009.
- Language Note:
- English
- Summary:
- In the treatment of large scientific and engineering problems splitting procedures are an excellent tool (and, very often, the only tool) by which huge computational tasks can be made tractable on the available computers. This is why splitting techniques have been widely used in many fields of real-life numerical modelling.
- Contents:
- Intro
- OPERATORSPLITTINGSANDTHEIRAPPLICATIONS
- Contents
- Preface
- Chapter1Introduction
- Chapter2OperatorSplitting:HistoryandMotivation
- Chapter3DescriptionandAnalysisoftheOperatorSplittings
- 3.1.ClassicalOperatorSplittings(Sequential,Strang-Marchuk)
- 3.2.NewOperatorSplittings(WeightedSplittings,Ad-ditiveSplittings,IteratedSplittings)
- 3.2.1.WeightedSequentialSplitting
- 3.2.2.AdditiveSplitting
- 3.2.3.IteratedSplitting
- 3.3.AnExample
- 3.4.ActiveRichardson-ExtrapolatedSplittings
- Chapter4FurtherInvestigationsoftheOperatorSplittings
- 4.1.LocalErrorAnalysis
- 4.2.ConvergenceoftheOperatorSplittings
- 4.3.Higher-OrderConvergenceoftheOperatorSplit-tings
- Chapter5NumericalSolutionoftheSplitSub-Problems
- 5.1.CombinedDiscretizationMethods
- 5.2.ErrorAnalysisoftheCombinedDiscretizationMethods
- Chapter6TheApplicationofOperatorSplittingtoReal-LifeProblems
- 6.1.AirPollutionModelling
- 6.1.1.ExamplesofSplittingProceduresforAirPollutionModels
- 1.DEMsplitting
- 2.Physicalsplitting
- 3.UNI-DEMsplitting
- 6.1.2.SomeCommentsontheExamples
- 6.1.3.NumericalResultsObtainedbyRunningUNI-DEM
- 6.1.4.ASimplifiedAirPollutionModelofoneAirColumn
- 6.2.ShallowWaterEquations
- 6.2.1.NumericalComparisons
- 6.3.TheNumericalModelingofFuelCellsbyUsingOperatorSplitting
- Chapter7Conclusion
- References
- INDEX
- Blank Page.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- Description based on print version record.
- ISBN:
- 1-61728-556-0
- OCLC:
- 667170952
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