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Titlebook: Numerical Approximation of Partial Differential Equations; Alfio Quarteroni,Alberto Valli Book 19941st edition Springer-Verlag Berlin Heid

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書目名稱Numerical Approximation of Partial Differential Equations
編輯Alfio Quarteroni,Alberto Valli
視頻videohttp://file.papertrans.cn/669/668958/668958.mp4
叢書名稱Springer Series in Computational Mathematics
圖書封面Titlebook: Numerical Approximation of Partial Differential Equations;  Alfio Quarteroni,Alberto Valli Book 19941st edition Springer-Verlag Berlin Heid
描述Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the point that is unknown to you, you must take the road that is unknown to you St. John of the Cross This is a book on the numerical approximation ofpartial differential equations (PDEs). Its scope is to provide a thorough illustration of numerical methods (especially those stemming from the variational formulation of PDEs), carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is our primary concern. Many kinds of problems are addressed: linear and nonlinear, steady and time-dependent, having either smooth or non-smooth solutions. Besides model equations, we consider a number of (initial-) boundary value problems of interest in several fields of applications. Part I is devoted to the description and analysis of general numerical methods for the discretization of partial differential equations. A comprehensive theory of Galerkin methods and its variants (Petrov-
出版日期Book 19941st edition
關(guān)鍵詞Algorithmen; Approximation; Numerische Approximation; algorithm; algorithms; differential equation; finite
版次1
doihttps://doi.org/10.1007/978-3-540-85268-1
isbn_softcover978-3-540-85267-4
isbn_ebook978-3-540-85268-1Series ISSN 0179-3632 Series E-ISSN 2198-3712
issn_series 0179-3632
copyrightSpringer-Verlag Berlin Heidelberg 1994
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The Unsteady Navier-Stokes Problem with .=2,3, and ηω is its boundary. One remarkable feature of (13.1) is the absence of an equation containing .. Indeed, in (13.1) the pressure . appears as a Lagrange multiplier associated to the divergence-free constraint div .=0.
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Hyperbolic Problemsm case to case, where boundary conditions have to be prescribed. The situation becomes more complex for systems of hyperbolic equations, where the boundary treatment must undergo a local characteristic analysis. If not implemented conveniently, the numerical realization of boundary conditions is a potential source of spurious instabilities.
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Numerical Approximation of Partial Differential Equations
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be site-specific and edited by leading specialists in the field. These guide books fit into the lab coat pocket, ideal for portability and quick reference. Each volume will be heavily illustrated with a 125-image full color art program, while the text will follow a user-friendly outline format. A mu
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be site-specific and edited by leading specialists in the field. These guide books fit into the lab coat pocket, ideal for portability and quick reference. Each volume will be heavily illustrated with a 125-image full color art program, while the text will follow a user-friendly outline format. A mu
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