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EBOOK
Author Li, Zhilin, 1956-
Title Numerical solution of differential equations : introduction to finite difference and finite element methods / Zhilin Li, North Carolina State University, USA ; Zhonghua Qiao, Hong Kong Polytechnic University, China ; Tao Tang, Southern University of Science and Technology, China.
Imprint Cambridge, UK ; New York : Cambridge University Press, [2018]
2018.

LOCATION CALL # STATUS MESSAGE
 OHIOLINK CAMBRIDGE UNIV PRESS    ONLINE  
View online
Author Li, Zhilin, 1956-
Subject Differential equations -- Numerical solutions.
Finite differences.
Finite element method.
Alt Name Zhonghua, Qiao,
Tang, T. (Tao), 1963-
Add Title Introduction to finite difference and finite element methods
LOCATION CALL # STATUS MESSAGE
 OHIOLINK CAMBRIDGE UNIV PRESS    ONLINE  
View online
Author Li, Zhilin, 1956-
Subject Differential equations -- Numerical solutions.
Finite differences.
Finite element method.
Alt Name Zhonghua, Qiao,
Tang, T. (Tao), 1963-
Add Title Introduction to finite difference and finite element methods
Description 1 online resource (ix, 293 pages) : illustrations
polychrome rdacc
Summary This introduction to finite difference and finite element methods is aimed at graduate students who need to solve differential equations. The prerequisites are few (basic calculus, linear algebra, and ODEs) and so the book will be accessible and useful to readers from a range of disciplines across science and engineering. Part I begins with finite difference methods. Finite element methods are then introduced in Part II. In each part, the authors begin with a comprehensive discussion of one-dimensional problems, before proceeding to consider two or higher dimensions. An emphasis is placed on numerical algorithms, related mathematical theory, and essential details in the implementation, while some useful packages are also introduced. The authors also provide well-tested MATLAB codes, all available online.
Bibliography Note Includes bibliographical references and index.
Contents Introduction -- Finite difference methods for 1D boundary value problems -- Finite difference methods for 2D elliptic PDEs -- FD methods for parabolic PDEs -- Finite difference methods for hyperbolic PDEs -- Finite element methods for 1D boundary value problems -- Theoretical foundations of the finite element method -- Issues of the FE method in one space dimension -- The finite element method for 2D elliptic PDEs.
Note Print version record.
ISBN 9781316678725 (electronic book)
1316678725 (electronic book)
9781107163225 (hardback)
1107163226 (hardback)
9781316615102 (paperback)
1316615103 (paperback)
OCLC # 1014339710
Additional Format Electronic reproduction of (manifestation): Li, Zhilin. Numerical solution of differential equations 9781316615102 (OCoLC)1014321066.


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