Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB: Scientific and Engineering Applications
暫譯: 使用MATLAB®、OCTAVE和SCILAB模擬常微分方程/偏微分方程模型:科學與工程應用

Alain Vande Wouwer, Philippe Saucez, Carlos Vilas

  • 出版商: Springer
  • 出版日期: 2014-07-01
  • 售價: $7,160
  • 貴賓價: 9.5$6,802
  • 語言: 英文
  • 頁數: 406
  • 裝訂: Hardcover
  • ISBN: 3319067893
  • ISBN-13: 9783319067896
  • 相關分類: Matlab
  • 海外代購書籍(需單獨結帳)

商品描述

Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB shows the reader how to exploit a fuller array of numerical methods for the analysis of complex scientific and engineering systems than is conventionally employed. The book is dedicated to numerical simulation of distributed parameter systems described by mixed systems of algebraic equations, ordinary differential equations (ODEs) and partial differential equations (PDEs). Special attention is paid to the numerical method of lines (MOL), a popular approach to the solution of time-dependent PDEs, which proceeds in two basic steps: spatial discretization and time integration.

Besides conventional finite-difference and element techniques, more advanced spatial-approximation methods are examined in some detail, including nonoscillatory schemes and adaptive-grid approaches. A MOL toolbox has been developed within MATLAB®/OCTAVE/SCILAB. In addition to a set of spatial approximations and time integrators, this toolbox includes a collection of application examples, in specific areas, which can serve as templates for developing new programs.

Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB provides a practical introduction to some advanced computational techniques for dynamic system simulation, supported by many worked examples in the text, and a collection of codes available for download from the book’s page at www.springer.com. This text is suitable for self-study by practicing scientists and engineers and as a final-year undergraduate course or at the graduate level.

商品描述(中文翻譯)

《使用 MATLAB®、OCTAVE 和 SCILAB 模擬常微分方程 (ODE) / 偏微分方程 (PDE) 模型》向讀者展示了如何利用比傳統方法更全面的數值方法來分析複雜的科學和工程系統。本書專注於由混合代數方程、常微分方程 (ODE) 和偏微分方程 (PDE) 描述的分佈參數系統的數值模擬。特別關注數值線法 (MOL),這是一種流行的時間依賴性 PDE 解法,分為兩個基本步驟:空間離散化和時間積分。

除了傳統的有限差分和元素技術外,本書還詳細探討了更先進的空間近似方法,包括非振盪方案和自適應網格方法。在 MATLAB®/OCTAVE/SCILAB 中開發了一個 MOL 工具箱。除了提供一組空間近似和時間積分器外,該工具箱還包括一系列特定領域的應用範例,可以作為開發新程序的模板。

《使用 MATLAB®、OCTAVE 和 SCILAB 模擬常微分方程 (ODE) / 偏微分方程 (PDE) 模型》為動態系統模擬的一些先進計算技術提供了實用的介紹,並在文本中提供了許多實例,還有可從 www.springer.com 書籍頁面下載的代碼集合。本書適合實踐科學家和工程師自學,也可用作大學最後一年課程或研究生課程。