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Computational methods in partial differential equations

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Published by J. Wiley in London, New York .
Written in English


  • Differential equations, Partial -- Numerical solutions.

Book details:

Edition Notes

Bibliography: p. [249]-251.

Statement[by] A. R. Mitchell.
SeriesIntroductory mathematics for scientists and engineers
LC ClassificationsQA374 .M68
The Physical Object
Paginationxiii, 255 p.
Number of Pages255
ID Numbers
Open LibraryOL5695443M
ISBN 100471610909
LC Control Number70088241

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The authors then widen the scope to cover the basic classes of linear partial differential equations modeling elasticity, heat flow, wave propagation and convection-diffusion-absorption problems. The book concludes with a chapter on the abstract framework of the finite element method for differential by: "This is the second edition of a popular tutorial on the numerical solution of partial differential equations (PDEs). has over exercises and a comparable number of worked-out examples together with computational : Springer-Verlag Berlin Heidelberg. Computational Methods for Partial Differential Equations book. Read reviews from world’s largest community for readers/5(5). The subject of partial differential equations holds an exciting and special position in mathematics. Partial differential equations were not consciously created as a subject but emerged in the 18th century as ordinary differential equations failed to describe the physical principles being studied.

Multidimensional interpolation is commonly encountered in numerical methods such as the Finite Element Method (FEM) the Finite Volume Method (FVM) used for solving partial differential is a general practice in numerical methods to discretize a two (three) dimensional domain into large number of small areas (volumes) known as elements in FEM volumes in FVM. Learn to write programs to solve ordinary and partial differential equations The Second Edition of this popular text provides an insightful introduction to the use of finite difference and finite element methods for the computational solution of ordinary and partial differential equations. Computational methods in partial differential equations. London, New York, J. Wiley [©] (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: A R Mitchell. Description: This book presents methods for the computational solution of differential equations, both ordinary and partial, time-dependent and steady-state. Finite difference methods are introduced and analyzed in the first four chapters, and finite element methods are studied in chapter five.

In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a computer model.A special case is ordinary differential equations (ODEs), which deal with functions of a single. Computational Partial Differential Equations Using MATLAB - CRC Press Book This textbook introduces several major numerical methods for solving various partial differential equations (PDEs) in science and engineering, including elliptic, parabolic, and hyperbolic equations. with the essential theoretical and computational tools that make it possible to use differential equations in mathematical modeling in science and engineering effectively. The backbone of the book is a new unified presentation of numerical solution techniques for differential equations based on .   About the Book. Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very challenging, depending on the type of equation, the.