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 #  AuthorTitleAccn#YearItem Type Claims
1 S. H. Lui Numerical analysis of partial differential equations 024092 2011 Book  
2 George Boole Treatise on calculus of finite differences 010080 1860 Book  
3 G.D. Smith Numerical solution of partial differential equations: Finite difference methods 003237 1985 Book  
4 Claes Johnson Numerical solution of partial differential equations by the finite element method 001789 1987 Book  
5 Bertrand Mercier Introduction to the numerical analysis of spectral methods 001276 1989. Book  
6 J. Vemuri Digital computer treatment of partial differential equations 000273 1981 Book  
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TitleNumerical analysis of partial differential equations
Author(s)S. H. Lui
PublicationNew Jersey, John Wiley and Sons, 2011.
Descriptionxiii, 487p.
Abstract NoteNumerical Analysis of Partial Differential Equations provides a comprehensive, self-contained treatment of the quantitative methods used to solve elliptic partial differential equations (PDEs), with a focus on the efficiency as well as the error of the presented methods. The author utilizes coverage of theoretical PDEs, along with the nu merical solution of linear systems and various examples and exercises, to supply readers with an introduction to the essential concepts in the numerical analysis of PDEs. The book presents the three main discretization methods of elliptic PDEs: finite difference, finite elements, and spectral methods. Each topic has its own devoted chapters and is discussed alongside additional key topics, including: The mathematical theory of elliptic PDEs Numerical linear algebra Time-dependent PDEs Multigrid and domain decomposition PDEs posed on infinite domains The book concludes with a discussion of the methods for nonlinear problems, such as Newton's method, and addresses the importance of hands-on work to facilitate learning. Each chapter concludes with a set of exercises, including theoretical and programming problems, that allows readers to test their understanding of the presented theories and techniques. In addition, the book discusses important nonlinear problems in many fields of science and engineering, providing information as to how they can serve as computing projects across various disciplines. Requiring only a preliminary understanding of analysis, Numerical Analysis of Partial Differential Equations is suitable for courses on numerical PDEs at the upper-undergraduate and graduate levels. The book is also appropriate for students majoring in the mathematical sciences and engineering.
ISBN,Price9780470647288 : $ 114.95(HB)
Classification519.63
Keyword(s)1. ELLIPTIC PARTIAL DIFFERENTIAL 2. NUMERICAL ANALYSIS 3. NUMERICAL LINEAR ALGEBRA 4. PARTIAL DIFFERENTIAL EQUATIONS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
024092   519.63/LUI/024092  Issued UV01: Vishal Upendran 06/Aug/2022

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TitleTreatise on calculus of finite differences
Author(s)George Boole;J.F. Moulton (ed.)
Edition2nd edn.
PublicationNew York, USA, Dover Publications, Inc., 1860.
Description336pp.
Classification519.63
Item TypeBook
Multi-Media Links
Please Click Here for eBook
Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
010080   519.63/BOO/010080  On Shelf    

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TitleNumerical solution of partial differential equations: Finite difference methods
Author(s)G.D. Smith
Edition3rd ed.
PublicationOxford, Clarendon press, 1985.
Description337p.
Series(Oxford Applied Mathematics and Computing Science Series)
Classification519.63
Keyword(s)1. FINITE DIFFERENCE METHODS 2. NUMERICAL SOLUTION-PARTIAL DIF 3. PARTIAL DIFFERENTIAL EQUATIONS
Item TypeBook

Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
003237   519.63/SMI/003237  On Shelf    

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TitleNumerical solution of partial differential equations by the finite element method
Author(s)Claes Johnson
PublicationCambridge, Cambridge University Press, 1987.
Description278p.
Classification519.63
Keyword(s)1. FINITE ELEMENT METHOD 2. NUMERICAL ANALYSIS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
001789   519.63/JOH/001789  On Shelf    

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TitleIntroduction to the numerical analysis of spectral methods
Author(s)Bertrand Mercier
PublicationBerlin, Springer-Verlag, 1989..
Descriptionv,154p.
Series(Lecture Notes in Physics)
Classification519.63
Keyword(s)1. NUMERICAL ANALYSIS 2. PARTIAL DIFFERENTIAL EQUATIONS 3. SPECTRAL METHOD
Item TypeBook
Multi-Media Links
Please Click Here for the Online Book
Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
001276   519.63/MER/001276  On Shelf    

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TitleDigital computer treatment of partial differential equations
Author(s)J. Vemuri;Walter J. Karplus
PublicationEnglewood Cliffs, Prentice Hall, 1981.
Description441p.
Classification519.63
Keyword(s)1. DIGITAL COMPUTER 2. DISTRIBUTED PARAMETER SYSTEMS- 3. PARTIAL DIFFERENTIAL EQUATIONS 4. PARTIAL NUMERICAL SOLUTIONS-DA
Item TypeBook

Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
000273   519.63/VEM/000273  On Shelf    

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