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" Discrete mathematics and its applications / "
Kenneth H. Rosen, Monmouth University, and formerly AT&T Laboratories.
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BL
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| Record Number
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643239
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dltt
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| Main Entry
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Geiser, Juergen
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| Title & Author
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Iterative splitting methods for differential equations /\ Juergen Geiser
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| Publication Statement
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Boca Raton, FL :: Chapman & Hall/CRC, c2011
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| Series Statement
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Chapman & Hall/CRC numerical analysis and scientific computing
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| Page. NO
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xxiii, 303 p. :: ill. ;; 24 cm
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| ISBN
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9781439869826
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: 1439869820
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Includes bibliographical references (p. 285-300) and index
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| Abstract
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Geiser (Humboldt U. of Berlin) presents iterative splitting methods for decomposing evolution equations and decoupling differential equations with unbounded operators. Extensions to the iterative splitting schemes are developed for spatially discretized partial differential equations, domain decomposition, and time-dependent operators. Benchmark problems solve moderate equations with 2-4 iterative steps, compare the iterative schemes with the ADI method and A-B splitting, and demonstrate extensions to convection-diffusion-reaction equations. Four examples apply the methods to radioactive waste disposal, elastic wave propagation, chemical vapor deposition processes, and complex flow phenomena. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com)
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Evolution equations
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Differential equations
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Decomposition method
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Iterative methods (Mathematics)
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| LC Classification
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QA377.3.G45 2011
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