商品描述
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.
商品描述(中文翻譯)
在這本受歡迎的數值分析課程教材中，作者介紹了幾種解決各類偏微分方程（PDEs）的主要方法，包括橢圓方程、拋物線方程和雙曲方程。內容涵蓋了傳統技術，包括經典的有限差分法、有限元素法，以及最先進的數值方法。這本書獨特地強調了理論數值分析和在 MATLAB 中算法的實際實現。本新版本新增了一章，有限值法，內容更加精煉，並包含了新的練習和應用，且文本現在參考了最新版本的 MATLAB。
主要銷售亮點：
- 一本成功的本科數值分析或數學與計算機工程所教授方法的教科書。
- 這門課程在全球每所擁有工程系或學院的大學中都有教授。
- 競爭優勢在於更廣泛的數值方法（包括有限差分法、有限元素法、無網格法和有限體積法），提供了大多數流行 PDE 的 MATLAB 原始碼，並詳細解釋了實現和理論分析。市場上沒有其他現有教科書能提供理論深度和實用原始碼的良好結合。
作者簡介
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.
作者簡介(中文翻譯)
李季春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，他還是應用數學研究成果的創始主編。他的主要研究領域是偏微分方程的數值方法。
陳怡棠是內華達大學拉斯維加斯分校能源研究中心的共同主任。他擁有猶他大學的博士學位，是計算流體力學、流體-結構互動和空氣動力學的專家。
