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AuthorThomas, J. W. author
TitleNumerical Partial Differential Equations: Finite Difference Methods [electronic resource] / by J. W. Thomas
ImprintNew York, NY : Springer New York : Imprint: Springer, 1995
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Descript XX, 437 p. online resource


This text will be divided into two books which cover the topic of numerical partial differential equations. Of the many different approaches to solving partial differential equations numerically, this book studies difference methods. Written for the beginning graduate student, this text offers a means of coming out of a course with a large number of methods which provide both theoretical knowledge and numerical experience. The reader will learn that numerical experimentation is a part of the subject of numerical solution of partial differential equations, and will be shown some uses and taught some techniques of numerical experimentation


Introduction to Finite Difference -- Some Theoretical Considerations -- Stability -- Parabolic Equations -- Hyperbolic Equations -- Systems of Partial Differential Equations -- Dispersion and Dissipation -- References -- Index

Mathematics Mathematical analysis Analysis (Mathematics) Numerical analysis Applied mathematics Engineering mathematics Mathematics Numerical Analysis Analysis Appl.Mathematics/Computational Methods of Engineering


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