Analysis of Finite Difference Schemes : For Linear Partial Differential Equations with Generalized Solutions
- 種類:
- 電子ブック
- 責任表示:
- by Boško S. Jovanović, Endre Süli
- 出版情報:
- London : Springer London : Imprint: Springer, 2014
- 著者名:
- シリーズ名:
- Springer Series in Computational Mathematics ; 46
- ISBN:
- 9781447154600 [1447154606]
- 注記:
- 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 differ
- ローカル注記:
- 学内専用E-BOOKS (local access only)
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