| 期刊全稱 | Analysis of Finite Difference Schemes | | 期刊簡(jiǎn)稱 | For Linear Partial D | | 影響因子2023 | Bo?ko S. Jovanovi?,Endre Süli | | 視頻video | http://file.papertrans.cn/157/156365/156365.mp4 | | 發(fā)行地址 | Develops a systematic and rigorous theory for the construction and analysis of finite difference methods.Presents the theory with minimal regularity conditions i.e. for PDEs with nonsmooth solutions a | | 學(xué)科分類 | Springer Series in Computational Mathematics | | 圖書封面 |  | | 影響因子 | .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 | | Pindex | Book 2014 |
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