Partial Differential Equations with Numerical Methods (Texts in Applied Mathematics) pdf epub mobi txt 電子書下載2025

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出版者:Springer

作者:Stig Larsson

出品人:

頁數:262

译者:

出版時間:2005-12-01

價格:USD 72.95

裝幀:Hardcover

isbn號碼:9783540017721

叢書系列:Texts in Applied Mathematics

圖書標籤:

數學
偏微分方程
數值方法

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The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering. The main theme is the integration of the theory of linear PDE and the theory of finite difference and finite element methods. For each type of PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter on the mathematical theory of the differential equation, followed by one chapter on finite difference methods and one on finite element methods. The chapters on elliptic equations are preceded by a chapter on the two-point boundary value problem for ordinary differential equations. Similarly, the chapters on time-dependent problems are preceded by a chapter on the initial-value problem for ordinary differential equations. There is also one chapter on the elliptic eigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. The required background on linear functional analysis and Sobolev spaces is reviewed in an appendix.</P>

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講的是數值算法，但是基本上嚴格基於 Soblev 空間的嚴格的理論。懂一點泛函和本科級彆的 PDE 基本就可以非常順暢得讀下去。非常適閤數值 PDE 的入門。缺點是 conservation laws 講得比較少。後者可以參見 LeVeque 的那個 Numerical methods for conservation laws

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