Computational Partial Differential Equations Using Matlab(r)

In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs) including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques including the classic finite difference method, finite element method, and state-of-the-art numercial methods.The text uniquely emphasizes both theoretical numerical analysis and practical implementation of the algorithms in MATLAB. This new edition includes a new chapter, Finite Value Method, the presentation has been tightened, new exercises and applications are included, and the text refers now to the latest release of MATLAB.

Key Selling Points:

• A successful textbook for an undergraduate text on numerical analysis or methods taught in mathematics and computer engineering.
• This course is taught in every university throughout the world with an engineering department or school.
• Competitive advantage broader numerical methods (including finite difference, finite element, meshless method, and finite volume method), provides the MATLAB source code for most popular PDEs with detailed explanation about the implementation and theoretical analysis. No other existing textbook in the market offers a good combination of theoretical depth and practical source codes.

在這本廣受歡迎的數值分析課程教材中，作者介紹了解決各種偏微分方程（PDEs）的幾種主要方法，包括橢圓、抛物和双曲方程。它涵蓋了傳統技術，包括經典的有限差分法、有限元法和最先進的數值方法。該教材獨特地強調了理論數值分析和在MATLAB中實際實施算法。這個新版本包括了一個新的章節，有限值方法，演示已經緊縮，新增了練習和應用，並且該教材現在參考了最新版本的MATLAB。

主要特點：
- 這是一本成功的本科數值分析或數學和計算機工程學院教授的教材。
- 這門課在全世界的每所工程學院或學校都有教授。
- 具有競爭優勢的更廣泛的數值方法（包括有限差分、有限元、無網格方法和有限體積方法），提供了大多數流行PDE的MATLAB源代碼，並對實現和理論分析進行了詳細解釋。市場上沒有其他現有的教材能夠很好地結合理論深度和實際源代碼。

Jichun Li ia a professor of mathematics at the University of Nevada, Las Vegas. He earned a Ph.D in Applied Mathematics from Florida State University and in addition to authoring several journal papers and three other books, he is a founding editor-in-chief of Results in Applied Mathematics. His major research areas are on numerical methods for partial differential equations.

Yi-Tung Chen is the co-director for the Center for Energy Research at the University of Nevada, Las Vegas. He has a Ph.D. from the University of Utah and is an aerial systems expert in computational fluid dynamics, fluid-structure interaction and aerodynamics.

李繼春（Jichun Li）是內華達大學拉斯維加斯分校的數學教授。他在佛羅里達州立大學獲得應用數學博士學位，除了撰寫多篇期刊論文和三本其他書籍外，他還是《應用數學結果》（Results in Applied Mathematics）的創刊主編。他的主要研究領域是偏微分方程的數值方法。

陳逸彤（Yi-Tung Chen）是內華達大學拉斯維加斯分校能源研究中心的聯合主任。他在猶他大學獲得博士學位，是計算流體力學、流固耦合和空氣動力學方面的航空系統專家。