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Numerical solution of elliptic and parabolic partial differential equations /

John A. Trangenstein.

Book Cover
Main Author: Trangenstein, J. A.
Published: Cambridge, UK ; Cambridge University Press, 2013.
Topics: Differential equations, Elliptic - Numerical solutions. | Differential equations, Parabolic - Numerical solutions. | MATHEMATICS - General.
Genres: Electronic books.
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020 |a9781139025508|q(electronic bk.)
020 |a1139025503|q(electronic bk.)
020 |z1107043832|q(hardback)
020 |z9781107043831|q(hardback)
020 |z9780521877268|q(hardback)
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035 |a(OCoLC)ocn843944531
035 |a(UIUdb)8954498
040 |aCAMBR|beng|cCAMBR|dYDXCP|dOCLCO|dUKMGB|dOCLCF|dCOO|dOCLCQ|dYDX|dUAB|dOCLCQ|dOTZ|dUIU|dUIUdb
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050 4|aQA374|b.T655 2013
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100 1 |aTrangenstein, J. A.|q(John Arthur),|d1949-
245 10|aNumerical solution of elliptic and parabolic partial differential equations /|cJohn A. Trangenstein.
260 |aCambridge, UK ;|aNew York :|bCambridge University Press,|c2013.
300 |a1 online resource :|billustrations
336 |atext|btxt|2rdacontent
337 |acomputer|bc|2rdamedia
338 |aonline resource|bcr|2rdacarrier
504 |aIncludes bibliographical references and index.
505 0 |aPreface -- 1. Introduction to partial differential equations -- 2. Parabolic equations -- 3. Iterative linear algebra -- 4. Introduction to finite element methods -- 5. Finite element theory -- 6. Finite element approximations -- 7. Mixed and hybrid finite elements -- 8. Finite elements for parabolic equations -- 9. Finite elements and multigrid -- 10. Local refinement -- Nomenclature -- Bibliography -- Author index -- Subject index.
520 |a"For mathematicians and engineers interested in applying numerical methods to physical problems this book is ideal. Numerical ideas are connected to accompanying software, which is also available online. By seeing the complete description of the methods in both theory and implementation, students will more easily gain the knowledge needed to write their own application programs or develop new theory. The book contains careful development of the mathematical tools needed for analysis of the numerical methods, including elliptic regularity theory and approximation theory. Variational crimes, due to quadrature, coordinate mappings, domain approximation and boundary conditions, are analyzed. The claims are stated with full statement of the assumptions and conclusions, and use subscripted constants which can be traced back to the origination (particularly in the electronic version, which is available online and on the accompanying CD-ROM)"--|cProvided by publisher.
588 0 |aPrint version record.
650 0|aDifferential equations, Elliptic|xNumerical solutions.
650 0|aDifferential equations, Parabolic|xNumerical solutions.
650 7|aMATHEMATICS|xGeneral.|2bisacsh
650 7|aDifferential equations, Elliptic|xNumerical solutions.|2fast|0(OCoLC)fst00893461
650 7|aDifferential equations, Parabolic|xNumerical solutions.|2fast|0(OCoLC)fst00893482
655 4|aElectronic books.
776 08|iPrint version:|z9781107043831
852 8 |beresour-nc|hOnline Resource|t1|zAccessible anywhere on campus or with UIUC NetID
856 40|3Cambridge Core - Full text online|uhttp://www.library.illinois.edu/proxy/go.php?url=http://dx.doi.org/10.1017/CBO9781139025508
938 |aYBP Library Services|bYANK|n10705777
994 |aC0|bUIU

Staff View for: Numerical solution of elliptic and parab