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Numerical Solution of Differential Equations

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Numerical Solution of Differential Equations

Introduction to Finite Difference and Finite Element Methods
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Description

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 MATLABĀ® codes, all available online.

Author Biography:

Zhilin Li is a tenured full professor at the Center for Scientific Computation and the Department of Mathematics, North Carolina State University. His research area is in applied mathematics in general, particularly in numerical analysis for partial differential equations, moving interface/free boundary problems, irregular domain problems, computational mathematical biology, and scientific computing and simulations for interdisciplinary applications. Li has authored one monograph, The Immersed Interface Method, and also edited several books and proceedings. Zhonghua Qiao is an Assistant Professor in the Department of Applied Mathematics, Hong Kong Polytechnic University. Tao Tang is a Professor in the Department of Mathematics at South University of Science and Technology, China.
Release date NZ
November 30th, 2017
Audience
  • Postgraduate, Research & Scholarly
Illustrations
Worked examples or Exercises; 12 Halftones, black and white; 45 Line drawings, black and white
Pages
300
Dimensions
174x246x15
ISBN-13
9781316615102
Product ID
26797778

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