Partial Differential Equations with Numerical Methods (Texts in Applied Mathematics)

出版者:Springer

作者:Stig Larsson

页数:262

出版时间:2005-12-01

价格:USD 72.95

装帧:Hardcover

isbn号码:9783540017721

丛书系列:Texts in Applied Mathematics

图书标签:数学偏微分方程数值方法

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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>

用户评价

挺适合非数学系入门PDE或者数学系了解下数值方法，理论太浅了。

挺适合非数学系入门PDE或者数学系了解下数值方法，理论太浅了。

挺适合非数学系入门PDE或者数学系了解下数值方法，理论太浅了。

讲的是数值算法，但是基本上严格基于 Soblev 空间的严格的理论。懂一点泛函和 本科级别的 PDE 基本就可以非常顺畅得读下去。非常适合数值 PDE 的入门。缺点是 conservation laws 讲得比较少。后者可以参见 LeVeque 的那个 Numerical methods for conservation laws

讲的是数值算法，但是基本上严格基于 Soblev 空间的严格的理论。懂一点泛函和 本科级别的 PDE 基本就可以非常顺畅得读下去。非常适合数值 PDE 的入门。缺点是 conservation laws 讲得比较少。后者可以参见 LeVeque 的那个 Numerical methods for conservation laws