Analysis of Finite Difference Schemes : For Linear Partial Differential Equations with Generalized Solutions
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The work Analysis of Finite Difference Schemes : For Linear Partial Differential Equations with Generalized Solutions represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Analysis of Finite Difference Schemes : For Linear Partial Differential Equations with Generalized Solutions
Resource Information
The work Analysis of Finite Difference Schemes : For Linear Partial Differential Equations with Generalized Solutions represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Analysis of Finite Difference Schemes : For Linear Partial Differential Equations with Generalized Solutions
 Title remainder
 For Linear Partial Differential Equations with Generalized Solutions
 Statement of responsibility
 by Boško S. Jovanović, Endre Süli
 Language

 eng
 eng
 Summary
 This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions. Finite difference methods are a classical class of techniques for the numerical approximation of partial differential equations. Traditionally, their convergence analysis presupposes the smoothness of the coefficients, source terms, initial and boundary data, and of the associated solution to the differential equation. This then enables the application of elementary analytical tools to explore their stability and accuracy. The assumptions on the smoothness of the data and of the associated analytical solution are however frequently unrealistic. There is a wealth of boundary – and initial – value problems, arising from various applications in physics and engineering, where the data and the corresponding solution exhibit lack of regularity. In such instances classical techniques for the error analysis of finite difference schemes break down. The objective of this book is to develop the mathematical theory of finite difference schemes for linear partial differential equations with nonsmooth solutions. Analysis of Finite Difference Schemes is aimed at researchers and graduate students interested in the mathematical theory of numerical methods for the approximate solution of partial differential equations
 Dewey number
 515.353
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 VyF7gb_Jt7A
 Cs_88alEVD4
 Language note
 English
 LC call number
 QA297299.4
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement

 Springer series in computational mathematics
 Springer Series in Computational Mathematics,
 Series volume

 46
 46
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